Journal articles: 'Mohr-Coulomb yield criterion'

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Sui, Chuan-Yi, Yu-Sheng Shen, Yu-Min Wen, and Bo Gao. "Application of the Modified Mohr–Coulomb Yield Criterion in Seismic Numerical Simulation of Tunnels." Shock and Vibration 2021 (November 25, 2021): 1–20. http://dx.doi.org/10.1155/2021/9968935.

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To solve the classical problem that the Mohr–Coulomb yield criterion overestimates the tensile properties of geotechnical materials, a modified Mohr–Coulomb yield criterion that includes both maximum tensile stress theory and smooth processing was established herein. The modified Mohr–Coulomb constitutive model is developed using the user-defined material subroutine (UMAT) available in finite element software ABAQUS, and the modified Mohr–Coulomb yield criterion is applied to construct a numerical simulation of a shaking table model test. Compared with the measured data from the shaking table test, the accuracies of the classical Mohr–Coulomb yield criterion and the modified Mohr–Coulomb yield criterion are assessed. Compared to the shaking table test, the classical Mohr–Coulomb model has a relatively large average error (−6.98% in peak acceleration values, −8.47% in displacement values, −23.93% in axial forces), while the modified Mohr–Coulomb model has a smaller average error (+2.71% in peak accelerations value, +3.19% in displacements value, +7.56% in axial forces). The results of numerical simulation using the modified Mohr–Coulomb yield criterion are closer to the measured data.

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Yan, Zhi Xin, Jian Duan, Ping Jiang, and Hou Yu Wang. "A Study on Constitutive Model and Parameters of Rock Slope Stability." Materials Science Forum 575-578 (April 2008): 1210–16. http://dx.doi.org/10.4028/www.scientific.net/msf.575-578.1210.

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In this paper, taking elastic and plastic characteristics of rock into account, the authors have studied the relationship between different constitutive models. By transforming material parameters merely, on the basis of Equivalent Mohr-Coulomb Yield Criterion, the researchers achieved the application of these relationship in the computer program-Ansys5.7. They also have discussed the magnitude relationship between the transformed parameters and the original ones. By analyzing the cases of rock slope with obvious sliding surface, the researchers proved that it is liable to replace Mohr-Coulomb Yield Criterion with Equivalent Mohr-Coulomb Yield Criterion. We can use Equivalent Mohr-Coulomb Yield Criterion to simulate rock material, the results are smaller and more conservative than the standard ones. Meanwhile, the authors indicate that it is beneficial to apply Equivalent Mohr-Coulomb Yield Criterion to simulate rock material in rock slope projects with obvious sliding surface which have accurate standard requirements about displacement.

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Liu, Jian Hua, and Wei Shen Zhu. "A New Elastic-Plasticity Yield Criterion for Rock and Soil." Advanced Materials Research 250-253 (May 2011): 1342–47. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.1342.

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In this present paper a new yield criterion called M-D criterion is established based on the average of Mohr-Coulomb and Drucker-Prager criterion. The new M-D criterion is integrated with a revised FLAC3D method for mechanical analysis. Comparisons between the results of M-D, Mohr-Coulomb and Drucker-Prager are made by cases study. The study shows that results of M-D criterion are basically between the results of Mohr-Coulomb and Drucker-Prager and have the feature of being medial in quantity.

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Wang, Shui Lin, Yu Yong Jiao, Haibin Xiao, and Chun Guang Li. "Discussion on the Use of Parameters of Drucker-Prager Criterion." Key Engineering Materials 306-308 (March 2006): 1449–54. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.1449.

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There are several different yield surfaces of Drucker-Prager yield criterion which corresponds to Mohr-Coulomb yield criterion in principal stress space. The different yield surfaces are determined by parameters in Drucker-Prager criterion. The influence of the different parameters on computational results is discussed in the paper, and the use of the equivalent Drucker-Prager criterion to Mohr-Coulomb criterion is suggested when elastoplastic analysis is performed in engineering problems.

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Huang, Mu Kun, Xiao Guang Jin, Yan Wang, and Ling Zhu. "Studies on Influence of Tunnel Surrounding Rock Stability Analysis Based on Material Yield Criterions." Applied Mechanics and Materials 90-93 (September 2011): 501–7. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.501.

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Numerical simulation is one of main methods for tunnel surrounding rock stability analysis. By now, there hasn’t be unanimous view on that what kind of yield criterion is adopted for different surrounding rock class and different buried depth. Mohr-Coulomb yield criterion is always adopted abroad, Drucker-Prager yield criterion is always adopted in China, moreover, the principles are different when adopting D-P yield criterion at home and abroad. Based on introducing the Mohr-Coulomb yield criterion and D-P yield criterions, this paper uses the M-C exterior angle point of circle criteria, which is popular in the international arena for the D-P yield criterion, and finds parameters of geotechnical material for D-P yield criterions through the parameter transformation. Combining with 3D elastic-plastic finite element simulation of the tunnel construction process, with the tunnel buried by soft and weak surrounding rock (V class) at shallow (15m) and deep (550m), this paper analyzes the impact of the M-C and D-P yield criterions on surrounding rock’s displacement, stress, strain effects, and proposes the appropriate yield criterion for the simulation of shallow and deep soft and weak rock tunnel construction and for tunnel surrounding rock stability analysis.

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Zhang, Tan, Song-Tao Lin, Hong Zheng, and Yan-Jiang Chen. "Elastoplastic Integration Method of Mohr-Coulomb Criterion." Geotechnics 2, no. 3 (2022): 599–614. http://dx.doi.org/10.3390/geotechnics2030029.

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A new method for implicit integration of the Mohr-Coulomb non-smooth multisurface plasticity models is presented, and Koiter’s requirements are incorporated exactly within the proposed algorithm. Algorithmic and numerical complexities are identified and introduced by the nonsmooth intersections of the Mohr-Coulomb surfaces; then, a projection contraction algorithm is applied to solve the classical Kuhn–Tucker complementary equations which provide the only characterization of possible active yield surfaces as a special class of variational inequalities, and the actual active yield surface is further determined by iteration. The basic idea is to calculate derivatives of the yield and potential functions with the expressions in the principal stresses and perform the return manipulations in the general stress space. Based on the principal stress characteristic equation, partial derivatives of principal stresses are calculated. The proposed algorithm eliminates the error caused by smoothing the corner of Mohr-Coulomb surfaces, avoids the numerical singularity at the intersections in the general stress space, and does not require the stress transformation needed in the principal stress space method. Lastly, several numerical examples are given to verify the validity of the proposed method.

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Alexandrov, Sergei E., and Elena A. Lyamina. "A New Method of Calculating the State of Stress in Granular Materials under Plane Strain Conditions." Transportation systems and technology 3, no. 4 (2017): 89–106. http://dx.doi.org/10.17816/transsyst20173489-106.

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The system of equations comprising the Mohr-Coulomb yield condition and the stress equilibrium equations may be studied independently of the flow law. This system of equations is hyperbolic. Accordingly, to solve the aforementioned system of equations, it is reasonable to apply the method of characteristics. In the special case of plasticity theory for materials whose yield criterion does not depend on the average stress, two methods are used to construct an orthogonal net of characteristics and to determine the stress field: the R-S method and Mikhlin’s coordinate method. In the case of the Mohr-Coulomb yield condition, the angle between the characteristic directions depends on the internal friction angle. Therefore, the above-mentioned methods should be generalised in accordance with this property of characteristics. Purpose. In the case of Plasticity theory for materials whose yield strength does not depend on the average stress, to calculate the stress filed, Mikhlin’s coordinate method is widely used. The purpose of this study is to generalise this method for the equation system consisting of the Mohr-Coulomb yield criterion and the pressure equilibrium equations. Methods. The geometrical properties of the characteristics of the equations’ system consisting of the Mohr-Coulomb yield condition and the equilibrium equations are used to introduce the generalised Mikhlin coordinates. Results. It’s been pointed out that solving equation system consisting of the MohrCoulomb yield condition and equilibrium equation comes to solving equation of telegraphy and to subsequent integration. Practical Significance. The developed method of system of equations’ solution, consisting of the Mohr-Coulomb yield condition and equilibrium equation enables obtaining high precision solutions at insignificant computer time expenditures.

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Crisfield, M. A. "Plasticity computations using the Mohr—Coulomb yield criterion." Engineering Computations 4, no. 4 (1987): 300–308. http://dx.doi.org/10.1108/eb023708.

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WANG, Hong-Cai, Wei-Hua ZHAO, Dong-Sheng SUN, and Bin-Bin GUO. "Mohr-Coulomb Yield Criterion in Rock Plastic Mechanics." Chinese Journal of Geophysics 55, no. 6 (2012): 733–41. http://dx.doi.org/10.1002/cjg2.1767.

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Navale, Avinash V., Sagar D. Turkane, Kiran B. Ladhane, Chandresh H. Solanki, and Vishwas A. Sawant. "Analysis of Pile Group in Square Arrangement Embedded in Clayey Soil." Indian Journal Of Science And Technology 17, no. 45 (2024): 4765–77. https://doi.org/10.17485/ijst/v17i45.2685.

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Objective: The purpose of this study is to simulate and compare the response of the 3 × 3 pile group, embedded in clay, subjected to static lateral load, in terms of lateral deflection when soil is represented by different elastoplastic yield criteria. The effect of geometrical and material parameters is also investigated. Methods: In the developed finite element formulation, 20 node isoparametric elements have been used to model piles and pile caps. Surrounding soil has been modeled using 8-node isoparametric elements. The code is being developed in FORTRAN 90. Findings: The parametric study revealed the impact of the constitutive model to represent soil, pile spacing, pile length, pile diameter, and soil properties on the lateral deflection of the pile group. Mohr-Coulomb criterion predicts the lowest lateral displacement and maximum bending moment. An increase in spacing-to-diameter ratio from 2 to 6 causes a decrease in pile displacement by 80.13% in Von Misses, 70.3% in Drucker-Prager outer, 76.68% in Drucker-Prager inner, and 56.62% in Mohr-Coulomb yield criteria. An increase in the elastic modulus of soil from 20000 kPa to 60000 kPa results in a reduction in lateral displacement by 43.12% and an increase in pile diameter from .6 m to 1.0 m causes a reduction in lateral displacement by 82.73% when Von Mises criterion is used. The change in length-to-diameter ratio from 10 to 25 reduces pile displacement by 23.91%. Novelty: Among the Von – Mises, Mohr-Coulomb, Drucker–Prager (outer), and Drucker–Prager (inner) criteria, the Mohr-Coulomb criterion predicts the lowest lateral response for the 3 × 3 pile group. However, as the s/D ratio increases from 2 to 6, the difference in response is minimized. A marginal difference is found at the L/D ratio of more than 15. Applications: The developed three-dimensional finite element software can be used by pile designers to predict the response of laterally loaded pile groups. Keywords: Lateral load, Pile group, Pile spacing, Von Misses criterion, Mohr-Coulomb criterion, Drucker-Prager criterion, Lateral pile deflection

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Avinash, V. Navale, D. Turkane Sagar, B. Ladhane Kiran, H. Solanki Chandresh, and A. Sawant Vishwas. "Analysis of Pile Group in Square Arrangement Embedded in Clayey Soil." Indian Journal of Science and Technology 17, no. 45 (2024): 4765–77. https://doi.org/10.17485/IJST/v17i45.2685.

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Abstract Objective: The purpose of this study is to simulate and compare the response of the 3 × 3 pile group, embedded in clay, subjected to static lateral load, in terms of lateral deflection when soil is represented by different elastoplastic yield criteria. The effect of geometrical and material parameters is also investigated. Methods: In the developed finite element formulation, 20 node isoparametric elements have been used to model piles and pile caps. Surrounding soil has been modeled using 8-node isoparametric elements. The code is being developed in FORTRAN 90. Findings: The parametric study revealed the impact of the constitutive model to represent soil, pile spacing, pile length, pile diameter, and soil properties on the lateral deflection of the pile group. Mohr-Coulomb criterion predicts the lowest lateral displacement and maximum bending moment. An increase in spacing-to-diameter ratio from 2 to 6 causes a decrease in pile displacement by 80.13% in Von Misses, 70.3% in Drucker-Prager outer, 76.68% in Drucker-Prager inner, and 56.62% in Mohr-Coulomb yield criteria. An increase in the elastic modulus of soil from 20000 kPa to 60000 kPa results in a reduction in lateral displacement by 43.12% and an increase in pile diameter from .6 m to 1.0 m causes a reduction in lateral displacement by 82.73% when Von Mises criterion is used. The change in length-to-diameter ratio from 10 to 25 reduces pile displacement by 23.91%. Novelty: Among the Von – Mises, Mohr-Coulomb, Drucker–Prager (outer), and Drucker–Prager (inner) criteria, the Mohr-Coulomb criterion predicts the lowest lateral response for the 3 × 3 pile group. However, as the s/D ratio increases from 2 to 6, the difference in response is minimized. A marginal difference is found at the L/D ratio of more than 15. Applications: The developed three-dimensional finite element software can be used by pile designers to predict the response of laterally loaded pile groups. Keywords: Lateral load, Pile group, Pile spacing, Von Misses criterion, Mohr-Coulomb criterion, Drucker-Prager criterion, Lateral pile deflection

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Yang, Cheng Zhong, and Wen Jie Wan. "Finite Element Analysis on High Embankment of Widened Road." Applied Mechanics and Materials 63-64 (June 2011): 770–74. http://dx.doi.org/10.4028/www.scientific.net/amm.63-64.770.

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By means of finite element method software simulation analysis, using strength reduction finite element method analyse factor of safety of embankments. Nowadays most finite element program is analyzed in the perfect elasto-plastic with the Mohr-Coulomb not equiangular hexagon circumcircle Drucker-Prager yield criterion, it have margin of error with not equiangular hexagon in π-plane, so we use Mohr-Coulomb equivalent area circle D-P yield criterion instead of it. Calculate conversion coefficient of two safety factor under different yield criterion. Using safety factor through finite element software by strength reduction multiply by conversion coefficient, get new safety factor. Through the example of high embankment of old road widened in Shanghai-Chengdu expressway Hejiaping cable section K2+ 710~890, validation of this method calculated the accuracy of the safety factor, the results show that the new factor of safety closer to the true value.

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Gesualdo, A., V. Minutolo, and L. Nunziante. "Failure in MohrCoulomb soil cavities." Canadian Geotechnical Journal 38, no. 6 (2001): 1314–20. http://dx.doi.org/10.1139/t01-043.

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In many cavities, resulting from both natural excavation and anthropic action, the phenomenon of the collapse of blocks from the cavity roof presents a serious safety hazard. In a previous publication the authors proposed a method to calculate the shape and dimensions of the collapsing block by means of the upper bound theorem of the plasticity theory. The soft rock material was modelled by means of the MohrCoulomb yield criterion, and the associated flow rule was considered for strain plastic velocity. The linear yield criterion was suitably regularized by means of a circle in the tensile zone. The boundary of the collapsing block is described by a paraboloid surface. An optimization procedure formulated in standard KuhnTucker form and an analytical solution were obtained. The above-mentioned algorithm has been successfully applied to common soils of southern Italy. To validate the theoretical formulation, several numerical tests are performed. These tests show an optimal agreement with the closed-form solution. Therefore the proposed modelling may be used as an efficient guideline for the cavity-strengthening design.Key words: roof stability, regularized MohrCoulomb material, limit analysis, failure mechanics.

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Baryakh, Alexander, and Andrey Tsayukov. "Justification of fracture criteria for salt rocks." Frattura ed Integrità Strutturale 16, no. 62 (2022): 585–601. http://dx.doi.org/10.3221/igf-esis.62.40.

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The study of salt rocks deformation and fracture processes is an essential part of mining parameters justification for mineral salt deposits. The results of uniaxial compression tests on large salt rock specimens are presented as a loading curve and diagrams of the transverse-longitudinal displacements at various distances from the side faces. Based on an isotropic elastoplastic model, a multivariant numerical simulation was performed. Its purpose was to select of fracture criteria that accurately describe the loading diagram of specimen and its transverse-longitudinal deformations. The following fracture criteria are considered: Tresca with the associated plastic flow rule, the associated and non-associated Mohr-Coulomb, the parabolic analogue of Mohr-Coulomb criterion and the volumetric fracture criterion. Numerical simulation was carried out by the displacement-based finite element method. Three-dimensional hexahedral eight-node isoparametric elements were used for discretization of the solution domain. It has been established that within the elastoplastic model of media the process of uniaxial compression of a large cubic salt rock specimen is adequately described by the linear Mohr-Coulomb fracture criterion with the non-associated plastic flow, as well as by the associated volumetric parabolic yield criterion with the linear isotropic hardening.

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Kotov, V. L. "MAPPROXIMATING STRESSES IN THE VICINITY OF A CAVITY EXPANDING AT A CONSTANT VELOCITY IN A MEDIUM WITH THE MOHR - COULOMB PLASTICITY CONDITION." Problems of strenght and plasticity 81, no. 2 (2019): 177–90. http://dx.doi.org/10.32326/1814-9146-2019-81-2-177-190.

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A one-dimensional problem of a spherical cavity expanding at a constant velocity from a point in an infinite elastoplastic medium is considered. The problem has a first-kind self-similar solution. Elastoplastic deformation of the soil is described based on Hooke's law and the Mohr-Coulomb yield criterion. An analytical solution of the problem in the elastic region contacting with the plastic yield region has been obtained. To determine stress and velocity fields in the plastic region, a known algorithm, based on the shooting method, of analyzing a boundary-value problem for a system of two first-order ordinary differential equations, including the fourth-order Runge - Kutta method, has been realized. An effective algorithm of numerically analyzing an expanding cavity problem, earlier proposed in the works by М. Forrestal et al., makes it possible to solve the problem accurately enough for practical applications. A formula for determining the critical pressure - the minimal pressure required for the nucleation, accounting for internal pressure of a cavity in the framework of the Mohr - Coulomb yield criterion, has been derived, which is a generalization of the earlier published solution for an elastic ideally plastic medium with Tresca's criterion. The obtained critical value was compared with a numerical solution in a full formulation at the cavity expansion velocities close to zero in a wide range of variation of the parameters of the Mohr - Coulomb yield criterion. It is shown that the inaccuracy of the approximation of the proposed formula does not exceed 6% for the variation of the internal friction coefficient all over the admissible range, and for the initial value of the yield strength increasing by three orders of magnitude.

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Zhang, Zhen Hua, Meng Ling Yuan, Qiang Cui, Xian Long Lu, and Shou Qian Liu. "Definition of the Ultimate State of the Scooted Head Pile Bearing Uplift Load in Soil Foundation Based on Failure Approach Index." Advanced Materials Research 250-253 (May 2011): 2481–85. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2481.

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The criterion to judge the ultimate state of the scooted head pile bearing uplift load in soil foundation is insufficient at present. According to this problem, a numerical simulation method based on Failure Approach Index considering Mohr-Coulomb yield criterion is adopt to study a quantitative and sufficient criterion for the ultimate state of the scooted head pile bearing uplift load in soil foundation. A scooted head pile in homogenized soil foundation is taken as an example, the ultimate uplift load of the pile is obtained by test, at the same time the ultimate uplift load of the pile is obtained by numerical simulation method based on Failure Approach Index considering Mohr-Coulomb yield criterion. The research results indicate that the two values of ultimate uplift load of the pile obtained by test and the numerical simulation method are very close, which give the sufficient evidence that the criterion for the ultimate state of the scooted head pile bearing uplift load in soil foundation based on Failure Approach Index is sufficient and reasonable.

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Abbo, A. J., and S. W. Sloan. "A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion." Computers & Structures 54, no. 3 (1995): 427–41. http://dx.doi.org/10.1016/0045-7949(94)00339-5.

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Zhao, Jun-hai, Yue Zhai, Lin Ji, and Xue-ying Wei. "Unified Solutions to the Limit Load of Thick-Walled Vessels." Journal of Pressure Vessel Technology 129, no. 4 (2006): 670–75. http://dx.doi.org/10.1115/1.2767356.

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Unified solutions to the elastoplastic limit load of thick-walled cylindrical and spherical vessels under internal pressure are obtained in terms of the unified strength theory (UST) and the unified slip-line field theory (USLFT). The UST and the USLFT include or approximate an existing strength criterion or slip-line field theory by adopting a parameter b, which varies from 0 to 1. The theories can be used on pressure-sensitive materials, which have the strength difference (SD) effect. The solutions, based on the Tresca criterion, the von Mises criterion, the Mohr–Coulomb criterion, and the twin shear strength criterion, are special cases of the present unified solutions. The results based on the Mohr–Coulomb criterion (b=0) give the lower bound of the plastic limit load, while those according to the twin shear strength criterion (b=1) are the upper bound. The solution of the von Mises criterion is approximated by the linear function of the UST with a specific parameter (b≈0.5). Plastic limit solutions with respect to different yield criteria are illustrated and compared. The influences of the yield criterion as well as the ratio of the tensile strength to the compressive strength on the plastic limit loads are discussed.

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Chen, Zhen Yu, Chun Du Wu, and Zhong Xian Wang. "Plastic Analysis of Metal Sheet Forming with SD Effects." Applied Mechanics and Materials 299 (February 2013): 216–20. http://dx.doi.org/10.4028/www.scientific.net/amm.299.216.

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Generally, many high-strength alloy materials used in aerospace, power and chemical industries have strength differential effect in tension and compression (SD effects). Usually, in mechanical calculations of sheet metal forming, Treasca yield criterion and Mises yield criterion are applied. Because the yield criterions don’t take SD effects into consideration, the calculation result may have errors for certain materials. However, generalized twin shear stress yield criterion, which takes into account the influence of the intermediate principal stress, is more suitable for most metal materials than Mohr-Coulomb strength theory. Therefore, this article has made plastic analysis on thin film stress issues of metal sheet forming with generalized twin shear stress yield criterion. We have obtained a unified plastic solution to the internal and external stretching issue of thin material with rounded holes and different tension and compression ratio. Providing a new result with wider applicability is very significant.

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Wang, Gang, Long Su, Jun Rui Pang, and Wei Sun. "Research on Precision of Partial Coefficient Finite Element Method in Stability Analysis for Rock Slope." Advanced Materials Research 1089 (January 2015): 248–52. http://dx.doi.org/10.4028/www.scientific.net/amr.1089.248.

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Partial coefficient finite element method is a new method of analyzing the stability of jointed rock slope. Partial coefficient Finite element analysis of joints rock slope stability, the calculation accuracy will be influenced by many factors, Such as the yield criterion, the mechanical parameters of rock mass, the computing grid, etc. In this paper, combined with example analyzed the impact of these factors on the partial coefficient method calculation accuracy. Considering material partial coefficients of slope’s weak layer, then, the weak layer is reduced by the strength reduction method. Analysis results show that: Using partial coefficient method analysis of stability of rock slope, under the associated flow rule, should choose Mohr-Coulomb inscribed circle criterion. In addition, when using Mohr - Coulomb inscribed circle criterion, the modulus of elasticity and poison’s ratio on the calculation results can be ignored. And with a few elements ideal result can be deduced.

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Bonic, Zoran, Verka Prolovic, and Biljana Mladenovic. "Mathematical modeling of materially nonlinear problems in structural analyses, Part I: Theoretical fundamentals." Facta universitatis - series: Architecture and Civil Engineering 8, no. 1 (2010): 67–78. http://dx.doi.org/10.2298/fuace1001067b.

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Material models describe the way they behave when loaded. The paper presents the development of the model beginning with the simplest linear-elastic and rigid-plastic ones. The basic data in the plasticity theory have been defined, such as criterion and yield (failure) surface, hardening law, plastic yield law and normality condition. Yield criteria of Tresca, Von Mises, Mohr-Coulomb and Drucker-Prager were given separately.

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Wang, Zhi-bin, Jin-feng Zou, and Hai Yang. "A new approach for the fracture grouting pressure in soil mass." Advances in Mechanical Engineering 10, no. 7 (2018): 168781401878643. http://dx.doi.org/10.1177/1687814018786435.

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This study focuses on analytical solutions of the fracture grouting pressure. Based on the cavity expansion and fracture grouting mechanism, the small deformation in the elastic zone, large deformation in the plastic zone, and non-associated flow rules are assumed. The solutions of the fracture grouting pressure based on the Unified Strength failure criterion, spatial mobilized plane criterion, Mohr–Coulomb failure criterion, and modified Cambridge model (MMC) are proposed for the large-deformation and small-deformation assumptions, respectively. A parameter analysis was conducted to analyze the differences between large-deformation and small-deformation theories. A comparison of the local test data with theoretical results reveals that the Cambridge model is more suitable for weakly consolidated soil and that the Mohr–Coulomb theory is suitable for over-consolidated soil. For all yield criteria in the study, the analysis indicates that the large-deformation theory has more reliable results than the small-deformation theory. The results in this study can direct the design and operation of fracture grouting.

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He, Jun Zheng, Ke Qiang He, Yong Shan Yan, and Wei Hao. "Study on the Slope Stability Based on Catastrophe Theory." Advanced Materials Research 261-263 (May 2011): 1489–93. http://dx.doi.org/10.4028/www.scientific.net/amr.261-263.1489.

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Based on the Drucker-Prager yield criterion which matches with the Mohr-Coulomb yield criterion under the plane strain condition, this paper sets up a cusp catastrophe model of maximum horizontal and vertical displacements to strength reduction factor by using the cusp catastrophe theory. And the catastrophe criterion of slope failure is quantified to the control variable (u) and discriminant (△) which are evaluated by comparing with zero. Taking the above study as the foundation, the cusp catastrophe model is applied to solve one of the standard test ACADS examples. On the two criterions for slope failure of horizontal and vertical displacements catastrophe model, the safety factor of the slope is 0.988 which is consistent with those by ACAS. It shows that the cusp catastrophe model in slope failure analysis is feasible and practical.

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Giraldo-Londoño, Oliver, and Glaucio H. Paulino. "A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler– Pister and Willam–Warnke." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (2020): 20190861. http://dx.doi.org/10.1098/rspa.2019.0861.

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An interesting, yet challenging problem in topology optimization consists of finding the lightest structure that is able to withstand a given set of applied loads without experiencing local material failure. Most studies consider material failure via the von Mises criterion, which is designed for ductile materials. To extend the range of applications to structures made of a variety of different materials, we introduce a unified yield function that is able to represent several classical failure criteria including von Mises, Drucker–Prager, Tresca, Mohr–Coulomb, Bresler–Pister and Willam–Warnke, and use it to solve topology optimization problems with local stress constraints. The unified yield function not only represents the classical criteria, but also provides a smooth representation of the Tresca and the Mohr–Coulomb criteria—an attribute that is desired when using gradient-based optimization algorithms. The present framework has been built so that it can be extended to failure criteria other than the ones addressed in this investigation. We present numerical examples to illustrate how the unified yield function can be used to obtain different designs, under prescribed loading or design-dependent loading (e.g. self-weight), depending on the chosen failure criterion.

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Zhang, Y. Q., H. Hao, and M. H. Yu. "A Unified Characteristic Theory for Plastic Plane Stress and Strain Problems." Journal of Applied Mechanics 70, no. 5 (2003): 649–54. http://dx.doi.org/10.1115/1.1602484.

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Based on the unified strength criterion, a characteristic theory for solving the plastic plane stress and plane strain problems of an ideal rigid-plastic body is established in this paper, which can be adapted for a wide variety of materials. Through this new theory, a suitable characteristic method for material of interest can be obtained and the relations among different sorts of characteristic methods can be revealed. Those characteristic methods on the basis of different strength criteria, such as Tresca, von Mises, Mohr-Coulomb, twin shear (TS) and generalized twin shear (GTS), are the special cases (Tresca, Mohr-Coulomb, TS, and GTS) or linear approximation (von Mises) of the proposed theory. Moreover, a series of new characteristic methods can be easily derived from it. Using the proposed theory, the influence of yield criterion on the limit analysis is analyzed. Two examples are given to illustrate the application of this theory.

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Zhu, MingZheng, Yugui Yang, Feng Gao, and Juan Liu. "Analytical Solution of Tunnel Surrounding Rock for Stress and Displacement Based on Lade–Duncan Criterion." Advances in Civil Engineering 2018 (2018): 1–7. http://dx.doi.org/10.1155/2018/5363658.

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The deformation and failure of tunnel surrounding rock is the result of tunnel excavation disturbance and rock stress release. When the local stress of surrounding rock exceeds the elastic limit of rock mass, the plastic analysis of surrounding rock must be carried out to judge the stability of tunnel. In this study, the Lade–Duncan yield criterion is used to calculate the analytic solutions for the surrounding rock in a tunnel, and the radius and displacement of the plastic zone are deduced using an equilibrium equation. The plastic zone radius and displacement based on Lade–Duncan criterion and Mohr–Coulomb criterion were compared by using single-factor analysis method under the different internal friction angles, in situ stresses, and support resistances. The results show that the solutions of the radius and displacement of plastic zone calculated by the Lade–Duncan criterion are close to those of Mohr–Coulomb criterion under the high internal friction angle and support resistance or low in situ rock stress; however, the radius and displacement of the plastic zone calculated by the Lade–Duncan criterion are larger under normal circumstances, and the Lade–Duncan criterion is more applicable to the stability analysis of the surrounding rock in a tunnel.

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Vicente da Silva, Mário, and Armando Antão. "Limit Analysis using the extended Matsuoka-Nakai yield criterion under plane strain conditions." Geotecnia, no. 157 (March 29, 2023): 29–48. http://dx.doi.org/10.14195/2184-8394_157_2.

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This paper investigates the implementation of the Extended-Matsuoka-Nakai yield criterion on Limit Analysis formulation under plane strain conditions. The current approach is based on a three-field mixed finite element model and the Alternating Direction Method of Multipliers optimization algorithm. For this purpose, an equivalence between the classical Mohr-Coulomb criterion and the Extended-Matsuoka-Nakai is established and explored. Three numerical applications are presented to test and to illustrate the capabilities of this approach. The results are confronted with other authors’ solutions or experimental data.

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Zhang, Jing, Fengyu Ren, Zhihua Ouyang, and Huan Liu. "A Piecewise Yield Failure Criterion including the Critical State for Brittle Rock." Advances in Civil Engineering 2020 (December 15, 2020): 1–18. http://dx.doi.org/10.1155/2020/1612383.

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The critical state of rock is an important index for measuring the changes in rock characteristics. However, this state is not unique because of the different researcher assumptions. Based on the theory of the partial differential equation proposed by Vutukuri, according to Mohr’s envelope, a piecewise yield failure criterion (referred to as the Mohr–Wedge criterion), including the critical state for brittle rock, is obtained by introducing the wedge model to solve this equation. The Mohr–Wedge (M–W) criterion consisting of nonlinear and linear components includes the critical state for brittle rock. When the minimum principal stress σ3 is lower than the confining pressure σk, the maximum principal stress σ1 varies nonlinearly with σ3; otherwise, σ1 varies linearly with σ3. This variation conforms to rock deformation features under triaxial compression. In this study, we investigate the rationality of this critical state by an analogy method and illustrate that the critical state mentioned in this criterion is related to the microcracks in the potential failure zone of the rock. Alternatively, the primary object of this study is to reveal the applicability of predicting the yield state for this criterion. The method used in our study is compared to the Mohr–Coulomb (M-C) criterion, the Hoek–Brown (H-B) criterion, and the Exponential (Exp.) criterion by the yield surfaces on the deviatoric plane. Notably, there is a vertex consistent region for the four criteria, but except for this region, the yield state of rock predicted by the four criteria is quite different, depending on the extent of the parameters for the criteria and the magnitude of the slopes of the yield surfaces. The results show that the M-W criterion has certain applicability for predicting the rock yield state by using the multiple data of rock triaxial compression tests in the published literature.

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Linnik, E. Yu. "EVALUATING CONTACT STRESSES IN AN IMPACTOR PENETRATING A HARD SOIL." Problems of strenght and plasticity 82, no. 1 (2020): 52–63. http://dx.doi.org/10.32326/1814-9146-2020-82-1-52-63.

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Finite formulas have been derived for evaluating contact stresses in a rigid impactor penetrating a soil, taking into account the friction in the framework of the local interaction model. In analyzing dynamic deformation of the soil, its volumetric compressibility, shear resistance and initial strength are accounted for. The obtained evaluations of resistance to penetration of an impactor into the soil are based on a quadratic relation between the stress normal to the impactor surface and impact velocity. The authors have pioneered in deriving finite expressions for coefficients of a trinomial approximation as a function of experimentally determined physical-mechanical parameters of the soil - a dynamic compressibility diagram (a shock adiabat) and a yield strength - pressure diagram. Impact compressibility of soils is described based on Hugoniot's adiabat - a linear relation between shock wave velocity and mass velocity of the medium particles behind the shockwave front. Plastic deformation obeys the Mohr - Coulomb yield criterion with a constraint on the limiting value of maximal tangential stresses according to Tresca's criterion - the Mohr - Coulomb - Tresca plasticity condition. An earlier obtained analytical solution of a one-dimensional problem of a spherical cavity expanding at a constant velocity from a point in a half-space occupied by a plastic soil medium is used. A formula for determining critical pressure (a minimal pressure required for the formation of a cavity, accounting for internal pressure in the framework of Mohr - Coulomb's yield criterion) is also used, which generalizes a known solution for an elastic ideally plastic medium with Tresca's criterion. The derived formulas have been verified by comparing their results with the available data from experiments on the penetration of a steel conical impactor into a frozen sandy soil. It is shown that the disagreement between the numerical and experimental results is within 10%.

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Vargonen, Muhammed, Liping Huang, and Yunfeng Shi. "Evaluating Mohr–Coulomb yield criterion for plastic flow in model metallic glasses." Journal of Non-Crystalline Solids 358, no. 24 (2012): 3488–94. http://dx.doi.org/10.1016/j.jnoncrysol.2012.05.021.

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Sort, J., J. Fornell, W. Li, S. Suriñach, and M. D. Baró. "Influence of the loading rate on the indentation response of Ti-based metallic glass." Journal of Materials Research 24, no. 3 (2009): 918–25. http://dx.doi.org/10.1557/jmr.2009.0117.

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The mechanical behavior of Ti-based metallic glass has been investigated by means of indentation experiments at different loading rates. Contrary to many crystalline materials, an increase of the loading rate causes a reduction of hardness, i.e., a mechanical softening. This effect is ascribed to deformation-induced creation of excess free volume, which is more pronounced for higher strain rates. The decrease of hardness is accompanied with an increase of the contact stiffness and a reduction of the reduced elastic modulus. Finite element simulations reveal that the mechanical response of this material can be described using the Mohr-Coulomb yield criterion. The changes in the nanoindentation curves with the increase of loading rate are well reproduced by decreasing the value of the Mohr-Coulomb cohesive stress. This result is consistent with the presumed enhancement of free volume.

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Zhan, Tao, Tengfei Jiang, Shengbiao Shan, Fu Zheng, Annan Jiang, and Xinping Guo. "Research on Constitutive Model and Algorithm of High-Temperature-Load Coupling Damage Based on the Zienkiewicz–Pande Yield Criterion." Applied Sciences 13, no. 17 (2023): 9786. http://dx.doi.org/10.3390/app13179786.

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The mechanical properties of rock can be weakened under the influence of high temperatures. To describe the mechanical behavior of rock under the action of high temperature more accurately, based on the Zienkiewicz–Pande yield criterion, the damage variable Dc which accounts for the coupling between high temperature and load is introduced. According to plastic potential theory and plastic flow law, the iterative incremental method for a high-temperature and load-coupled damage constitutive model in Flac3D is deduced in detail and compiled into the corresponding dynamic link library file (.dll file). By modifying the shape function to degenerate into the Mohr–Coulomb constitutive model, an elastic–plastic analysis of an ideal circular tunnel is performed, and a comparison is made between calculation results obtained from the built-in Mohr–Coulomb constitutive model in Flac3D, proving the correctness of the secondary development program. Finally, numerical simulations are conducted to study the effects of high-temperature damage using rock uniaxial compression tests, and the model’s validity is established by comparing it with previous experimental results.

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Kong, Wei-Xue, Ying-Ren Zheng, and Lu-Hui Yan. "Problems on Yield Criterion and Dilatancy of Limit Analysis Finite Elements to Bearing Capacity of Geomaterials." Open Civil Engineering Journal 7, no. 1 (2013): 292–301. http://dx.doi.org/10.2174/1874149501307010292.

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The theoretical basis of classic geotechnical engineering stability problems is limit analyis thereom. Incremen-tal loading finite elements and strength reduction finite elements were put forward by Zienkiewicz in 1975 and the meth-ods are called by the authors Limit Analysis Finite Elements (abbreviation LAFE for short). It has been successfully ap-plied to slope engineering, and used to bearing capacity problems foundations. The LAFE method is still in initial stage, with problems in engineering practice. Key problems on yield criterion and dilatancy angle were also discussed in detail. The paper proved again that same ultimate bearing capacity and slip line are obtained in slip line field theory under asso-ciated and nonassociated flow rule, with the only difference of velocity vector direction. Meanwhile, the dilatancy angle should be φ/2 when nonassociated flow rule is employed under plane strain, and corresponding volumetric strain is zero. Thus the correctness of the theoretical solution in literature [19] is proved, and LAFE method is also proved a very prom-ising approach in solving bearing capacity problems of foundations. Rigorous theoretical basis is available for finite ele-ments incremental loading to solve the bearing capacity problems of foundations, and the approach is simple to use. In the numerical simulation process, not only the ultimate bearing capacity and load-displacement curve are obtained, but also the failure mechanism proved same as the one by traditional limit analysis approach is achieved. Only the yield criterion matched with practical engineering problems can generate a precise result. Under plane strain the results by Mohr-Coulomb inscribed circle yield criterion (DP3) for associated flow rule, and Mohr-Coulomb match yield criterion (DP5) for nonassociated flow rule are close to the accurate theoretical solution by Prandtl. The achievements can be applied in practical geotechnical engineering purposes.

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Xu, Ping, and Fangfang Meng. "Elastoplastic Solutions About the Gas Drainage Hole Based on Mohr–Coulomb Yield Criterion." Geotechnical and Geological Engineering 33, no. 4 (2015): 865–73. http://dx.doi.org/10.1007/s10706-015-9865-9.

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35

Lee, Myoung-Gyu, Ji Hoon Kim, Hansun Ryou, Kwansoo Chung, Jae Ryoun Youn, and Tae Jin Kang. "Numerical implementation of modified Coulomb-Mohr yield criterion for anisotropic and asymmetric materials." Fibers and Polymers 7, no. 3 (2006): 276–85. http://dx.doi.org/10.1007/bf02875685.

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Liu, Rulin, Yanbin Yu, Weimin Cheng, Qingfeng Xu, Haotian Yang, and Jialong Shen. "Comparative Analyses Concerning Triaxial Compressive Yield Criteria of Coal with the Presence of Pore Water." Geofluids 2020 (February 3, 2020): 1–15. http://dx.doi.org/10.1155/2020/4670812.

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The least absolute deviation is used as a metric to analyze the applicability of five yield criteria, to describe the yield characteristics of coal based on triaxial compressive strength tests on natural, water-saturated, and seepage coal samples with the presence of pore water. The results show that the strength of coal exhibits nonlinear characteristics with the increase of confining pressure, which the linear Coulomb criterion fails to authentically describe. Although the parabolic Mohr criterion can describe the nonlinearity feature more decently than the linear yield criterion, the fitting error is significant, and the uniaxial compressive strength of coal is overestimated. The Hoek-Brown criterion, quadratic polynomial criterion, and exponential criterion yield decent fitting quality for the coal rock. In particular, the exponential strength criterion can accurately reflect the actual uniaxial compressive strength of the rock. However, the differential principle yield stress for an infinite confining pressure calculated from the exponential strength criterion is lower than the measured value. Furthermore, by employing effective stress principle to analyze the yield criteria for the saturated and seepage coal samples, one can find that the quadratic polynomial criterion and the exponential criterion can also reflect the changes of yield characteristics during the fluid-solid coupling triaxial compression test.

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Liu, Yuhang, Ruiqiang Bai, and Dongqing Li. "Study on the Strength and Yield Behaviors of Modified Silty Clay." Geofluids 2022 (July 16, 2022): 1–17. http://dx.doi.org/10.1155/2022/6337345.

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To study the strength and yield behaviors of the modified soil, a series of triaxial compression tests were carried out for modified silty clay with different contents of red Pisha sandstone and carbide slag, respectively. The test results showed that the strength variation of the modified soils are obviously nonlinear with the hydrostatic pressure increasing, and the nonlinear strength can be described by a modified critical state function. Then, the friction angle and the cohesive force of the modified soils were obtained according to the nonlinear Mohr-Coulomb equation, and the relationships between the friction angle, the cohesive force, and the hydrostatic pressure were studied. Finally, the yield behavior of the modified soil was investigated based on a generally criterion, and the yield surface of the modified soils locates between the SMP criterion and the Lade-Duncan criterion. This study will help to understand the strength and yield characteristics of modified soils.

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38

Yu, Mao-hong. "Advances in strength theories for materials under complex stress state in the 20th Century." Applied Mechanics Reviews 55, no. 3 (2002): 169–218. http://dx.doi.org/10.1115/1.1472455.

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It is 100 years since the well-known Mohr-Coulomb strength theory was established in 1900. A considerable amount of theoretical and experimental research on strength theory of materials under complex stress state was done in the 20th Century. This review article presents a survey of the advances in strength theory (yield criteria, failure criterion, etc) of materials (including metallic materials, rock, soil, concrete, ice, iron, polymers, energetic material, etc) under complex stress, discusses the relationship among various criteria, and gives a method of choosing a reasonable failure criterion for applications in research and engineering. Three series of strength theories, the unified yield criterion, the unified strength theory, and others are summarized. This review article contains 1163 references regarding the strength theories. This review also includes a brief discussion of the computational implementation of the strength theories and multi-axial fatigue.

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39

Lagioia, R., and A. Panteghini. "On the existence of a unique class of yield and failure criteria comprising Tresca, von Mises, Drucker–Prager, Mohr–Coulomb, Galileo–Rankine, Matsuoka–Nakai and Lade–Duncan." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2185 (2016): 20150713. http://dx.doi.org/10.1098/rspa.2015.0713.

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In this paper, it is mathematically demonstrated that classical yield and failure criteria such as Tresca, von Mises, Drucker–Prager, Mohr–Coulomb, Matsuoka–Nakai and Lade–Duncan are all defined by the same equation. This can be seen as one of the three solutions of a cubic equation of the principal stresses and suggests that all such criteria belong to a more general class of non-convex formulations which also comprises a recent generalization of the Galileo–Rankine criterion. The derived equation is always convex and can also provide a smooth approximation of continuity of at least class C 2 of the original Tresca and Mohr–Coulomb criteria. It is therefore free from all the limitations which restrain the use of some of them in numerical analyses. The mathematical structure of the presented equation is based on a separate definition of the meridional and deviatoric sections of the graphical representation of the criteria. This enables the use of an efficient implicit integration algorithm which results in a very short machine runtime even when demanding boundary value problems are analysed.

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40

Hasanzadehshooiili, Hadi, Ali Lakirouhani, and Jurgis Medzvieckas. "EVALUATING ELASTIC-PLASTIC BEHAVIOUR OF ROCK MATERIALS USING HOEK–BROWN FAILURE CRITERION." Journal of Civil Engineering and Management 18, no. 3 (2012): 402–7. http://dx.doi.org/10.3846/13923730.2012.693535.

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As a matter of fact, the failure criteria only predict failure's initiation in materials. And, in order to predict post-yield behaviour of materials, a much complicated formulation for stress-strain relationship is required, which we know as plasticity theory. For instance, these formulations are developed based on Mohr-Coulomb criterion for soils and Drucker-Prager criterion for concrete. According to a majority of rock mechanics researchers, the empirical and experimental Hoek-Brown failure criterion is one of the well-progressed and suitable criteria, which can efficiently predict the rock failure initiation under different stress states for various types of intact rocks and rock masses. In this article, according to the suggestion by Heok explained in his paper of 1997, this rugged mentioned criterion is considered as a yield criterion and the elastic-perfect plastic behaviour of rock masses is determined using calculating material constitutive matrix's arrays in terms of Hoek-Brown's material constants and mechanical characteristics of rock materials in the general stress space, considering associated flow rule.

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Baryakh, Alexander, and Andrey Tsayukov. "Elastic-viscoplastic deformation models of salt rocks." Frattura ed Integrità Strutturale 18, no. 70 (2024): 191–209. http://dx.doi.org/10.3221/igf-esis.70.11.

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Results of secondary creep tests for salt rock specimens were mathematically described. Elastic-viscoplastic modeling of viscous properties of salt rocks was based on elastoplastic models using a non-associated Mohr-Coulomb plastic flow and an associated volumetric yield criterion. In combination with these models the one-parameter Bingham and Duvaut-Lions as well as the two-parameter Perzyna and Perić viscoplasticity laws were analyzed. It’s been found that all laws being considered reflect an increase in longitudinal deformation of salt specimens during creep. It should be noted though that the yield criteria combined with the Perić law are characterized by relatively simple, stable parametric support and acceptable description of steady-state creep. The use of viscoplastic deformation model makes it possible to point out the fracture regions formed during creep according to a specified strength criterion.

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42

Xia, Bin Wei, Jie Wang, Yi Yu Lu, Yong Kang, and Dong Li. "Analysis on Variable Bond Strength Failure Criterion of Layered Rock Mass Based on Numerical Simulation and Model-Test." Advanced Materials Research 243-249 (May 2011): 2220–28. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.2220.

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The layered rock mass consists of kinds of stratifications whose mechanical properties are not wholly identical with each other. In order to figure out its strength failure criterion, the variable bond strength failure criterion is proposed depending on Mohr-Coulomb yield criterion and the change law of the strength parameters varying with the dip angle of stratification plane (that is the angle between the maximum principal stress and the stratification plane). What’s more, the criterion is verified by physical model test and numerical simulation adopting assembly language VC++6.0. Compared with the results of physical model tests and numerical simulation, it is shown that the stress distributions and failure regions are elliptic in shape and that the maximum failure regions are vertical to the stratification planes. That the results obtained in the physical model test are compatible with those numerically obtained verifies the correctness of variable bond strength failure criterion.

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43

Zhen, Ming, Dian Yi Song, and Zhi Gang Jiang. "A Cracked-Comminuted Model for Penetration into Confined Concrete Targets." Applied Mechanics and Materials 357-360 (August 2013): 839–43. http://dx.doi.org/10.4028/www.scientific.net/amm.357-360.839.

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Confined concrete is superior to the normal concrete in anti-projectile performance. The concrete filled confining tube of relatively small radius would be in cracked-comminuted stage during the penetrating process of projectiles at relatively low velocity. Based on the linear pressure-volumetric strain relationship and the Mohr-Coulomb yield criterion, a dynamic cylindrical cavity expansion model for the penetration into confined concrete targets with lateral elastic confinement is proposed. Numerical results show that the lateral confinement improves cavity stress significantly, and the radius ratio of target to cracked-comminuted interface has little influnce on cavity stress for relatively low cavity expansion velocity.

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Hu, Chao, Fei Ye, Wenxi Fu, and Zhuo Chen. "A Return Mapping Algorithm for Nonlinear Yield Criteria with the Equivalent Mohr–Coulomb Strength Parameters." Advances in Civil Engineering 2020 (November 24, 2020): 1–8. http://dx.doi.org/10.1155/2020/8823988.

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This paper proposes a modified return mapping algorithm for a series of nonlinear yield criteria. The algorithm is established in the principal stress space and ignores the effect of the intermediate principal stress. Three stress return schemes are derived in this paper: return to the yield surface, return to the curve, and return to the apex point. The conditions used for determining the correct stress return type are also constructed. After the proposed algorithm is programmed in the finite element software, we merely need the equivalent Mohr–Coulomb (M-C) strength parameters, the derivatives of their functions, and the tensile strength of these nonlinear yield criteria. In addition, the Hoek–Brown (H-B) yield criterion is taken as an example to validate the proposed method. The results show that the updated stresses and the final principal stresses obtained by the proposed method are in good agreement with those obtained by other methods. Furthermore, the proposed method is more suitable for the associated plastic-flow rule.

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Drobiec, Łukasz, Radosław Jasiński, Wojciech Mazur, and Tomasz Rybraczyk. "Numerical Verification of Interaction between Masonry with Precast Reinforced Lintel Made of AAC and Reinforced Concrete Confining Elements." Applied Sciences 10, no. 16 (2020): 5446. http://dx.doi.org/10.3390/app10165446.

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This paper describes results of numerical analyses of reinforced lintels made of autoclaved aerated concrete built into unconfined walls and walls confined with reinforced concrete. The combination of the Menétrey–Willam elastic-plastic failure criterion (M-W-3) and the Rankine criterion was used for numerical analysis of masonry. The parameters were determined by laboratory tests. Rebars were modelled using the Huber–Mises–Hencky yield criterion. The numerical model included interface elements att the interface between masonry units, at interfaces between reinforced concrete and masonry, and at interfaces between elements of test stands with a model using the Coulomb–Mohr (C-M) criterion. The majority of parameters of interface elements were assumed from laboratory tests. Results of numerical analysis were compared with laboratory tests. Results of numerical analysis and experiments were compatible in the range of load-carrying capacity of models and the failure method.

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MIRNYY, A. Yu. "SOIL STRENGTH CRITERION WITH ACCOUNT FOR SHEAR RESISTANCE CAUSED BY PARTICLE ENGAGEMENT." Engineering Geology World 14, no. 1 (2019): 36–42. http://dx.doi.org/10.25296/1993-5056-2019-14-1-36-42.

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Shear resistance of soil becomes vital in geotechnical design of dams and embankments, and also landslides stabilization. Historically, the Mohr-Coulomb yield criterion was used for such problems solving — it appears to be suitable for the most of fine-grained soils. But in case of gravel soils, it was noticed that they possess so-called "cohesion" although there is no physical mechanism of such behavior. This extra shear resistance of non-friction nature is caused by the particle engagement. The engagement phenomenon was usually studied by hydro engineers, but since deep excavations and heavy structures are becoming common in civil engineering, more precise calculation becomes critical. This issue is dealing with the new yield criterion for gravel soils development. The most common criteria for non-cohesive soils and the parameters they are based on are analyzed. The proposed yield criterion is based on invariant stress parameters and concerns friction, cohesion and engagement between particles. It also takes into account second principal stress by using a non-fixed sliding plane. The parameters of this criterion are physically justified and can be determined by a standard soil test. Although it still needs experimental validation, this new criterion appears to be prospective for the usage in numerical modeling, as it is universal and versatile.

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Ruggiero, Andrew, Gianluca Iannitti, Stefano Masaggia, and Federico Vettore. "ADI 1050-6 Mechanical Behavior at Different Strain Rates and Temperatures." Materials Science Forum 925 (June 2018): 196–202. http://dx.doi.org/10.4028/www.scientific.net/msf.925.196.

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An experimental characterization of the austempered ductile iron ISO 17804/JS/1050-6/S was performed carrying out tensile tests under different strain rates, temperatures and stress triaxiality levels. Then, composing a yield function surface, a hardening relation, and a damage criterion, a constitutive model was developed to describe the salient features of the observed macroscopic response. In particular, the Mohr-Coulomb yield function was selected to account for the pressure effect observed on the yield surface. A new hardening relation was proposed in order to account for both strain rate and temperature effects. The Bonora’s damage model, developed in the framework of the continuum damage mechanics, was adopted to capture the failure condition under different stress triaxiality levels. The damage model was appropriately modified to account for the effect of strain rate and temperature on the failure strain.

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Kumar, Jyant, and Manash Chakraborty. "Upper-Bound Axisymmetric Limit Analysis Using the Mohr-Coulomb Yield Criterion, Finite Elements, and Linear Optimization." Journal of Engineering Mechanics 140, no. 12 (2014): 06014012. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000820.

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Alexandrov, S. E., and E. A. Lyamina. "Qualitative Distinctions in the Solutions Based on the Plasticity Theories with the Mohr-Coulomb Yield Criterion." Journal of Applied Mechanics and Technical Physics 46, no. 6 (2005): 883–90. http://dx.doi.org/10.1007/s10808-005-0148-8.

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Yu, H. S. "Three-dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (2005): 1951–64. http://dx.doi.org/10.1098/rspa.2005.1445.

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This paper develops analytical solutions for shakedown limits of a cohesive-frictional half-space under a three-dimensional moving surface load. Melan's lower-bound shakedown theorem has been adopted as the theoretical basis for deriving shakedown limits. Rigorous lower-bound solutions are obtained for shakedown limits by establishing a self-equilibrated residual stress field that, together with the applied elastic stress fields, lies within the Mohr–Coulomb yield criterion throughout the half-space. By searching through the half-space, this study shows that the most critical location for satisfying the yield condition lies on the central plane. The analytical solutions derived in the paper can be used to benchmark numerical shakedown results, as well as to serve as a theoretical basis for the development of an analytical design method for pavements under moving traffic loads.

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Journal articles on the topic 'Mohr-Coulomb yield criterion'

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