Academic literature on the topic 'Drucker-Prager yield criterion'

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Journal articles on the topic "Drucker-Prager yield criterion"

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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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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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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 <strong>Objective:</strong>&nbsp;The purpose of this study is to simulate and compare the response of the 3 &times; 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.&nbsp;<strong>Methods:</strong>&nbsp;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.&nbsp;<strong>Findings:</strong>&nbsp;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%.&nbsp;<strong>Novelty:</strong>&nbsp;Among the Von &ndash; Mises, Mohr-Coulomb, Drucker&ndash;Prager (outer), and Drucker&ndash;Prager (inner) criteria, the Mohr-Coulomb criterion predicts the lowest lateral response for the 3 &times; 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. <strong>Keywords:</strong> Lateral load, Pile group, Pile spacing, Von Misses criterion, Mohr-Coulomb criterion, Drucker-Prager criterion, Lateral pile deflection
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Ding, Xiang, Na Chen, Fan Zhang, and Guangqing Zhang. "Evolution of Strength Parameters for Sandstone Specimens during Triaxial Compression Tests." Advances in Civil Engineering 2021 (June 18, 2021): 1–11. http://dx.doi.org/10.1155/2021/8856743.

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Despite the lack of test data of the coefficient of pressure sensitivity α and the shearing cohesion k, the Drucker–Prager criterion is commonly applied for numerical analyses of geotechnical engineering. To bridge the gap between the wide application and insufficient knowledge of strength parameters of the Drucker–Prager criterion, this study presents experimentally calibrated strength parameters of this criterion for the first time. This paper proposes a new method to measure α and k in the Drucker–Prager criterion. The square root of the second invariant of the deviatoric stress tensor J 2 is linearly fitted with the first invariant of the stress tensor I 1 in the stress space. The parameters φ and c in the Mohr–Coulomb criterion and α and k in the Drucker–Prager criterion are calibrated to the same set of triaxial compression tests of sandstones. With these testing results, five pairs of conversion formulae (which are most commonly used in the literature) are examined and the most appropriate pair of conversion formulae is identified. With parameters indicating cohesive strength (c and k) and parameters indicating frictional strength ( φ and α ), the evolutions of different strength components are compared with those in the cohesion-weakening friction-strengthening model. With an increase in plastic deformation, the cohesive strength parameters c and k firstly increase to a peak value and then decrease. The frictional strength parameters φ and α gradually increase at a decreasing rate after the initial yield point.
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Gao, Meng, Luao Fan, and Guangyun Gao. "2.5D finite element algorithm based on Drucker-Prager yield criterion." Soil Dynamics and Earthquake Engineering 181 (June 2024): 108676. http://dx.doi.org/10.1016/j.soildyn.2024.108676.

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Ke, Xiaojun, Weishu Fu, and Zongping Chen. "Mechanical properties of high-performance concrete under triaxial compression." Magazine of Concrete Research 74, no. 8 (2022): 419–31. http://dx.doi.org/10.1680/jmacr.20.00364.

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It is well known that the mechanical properties of a material are related to lateral confinement. In this paper, 60 cylindrical high-performance concrete (HPC) specimens with different concrete strength grades were cast and subjected to a conventional triaxial experiment to study the mechanical properties of the material. The experimental results indicated that the specimens exhibited longitudinal splitting failure patterns under uniaxial compression and inclined plane shear failure patterns under triaxial compression. The stress–strain curves were divided into three stages: an elastic rising stage, a plastic rising stage and a softening descending stage. The application of lateral confining pressure effectively increased the triaxial compressive strength. As the concrete strength increased, the descending stage of the stress–strain curves became steeper, indicating an increase in brittleness. Based on the experimental results, the failure criterion of the HPC was analysed using the Drucker–Prager yield criterion and Kotsovos failure theory. The parameters of the Drucker–Prager yield criterion were determined, and the applicable range of the Kotsovos failure theory was also obtained.
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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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Yang, Xiongfei, Hong Yuan, Jiayu Wu, and Shanqing Li. "Elastoplastic Analysis of Circular Tunnel Based on Drucker–Prager Criterion." Advances in Civil Engineering 2018 (September 18, 2018): 1–8. http://dx.doi.org/10.1155/2018/5149789.

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Based on the Drucker–Prager yield criterion, the theoretical solution of stratigraphic deformation in tunnel excavation process is deduced by the cavity expansion theory. In view of soil loosening around the tunnel caused by the tunnel excavation process, the internal friction angle of the surrounding soil is not a constant but a function of normal stress. The piecewise linearization of the nonlinear yield function is used to analyze the elastoplastic solution of the cylindrical hole shrinkage. A comparison is conducted with a plastic zone in which the internal friction angle of the soil remains unchanged. It can be concluded that the radial stress, the tangential stress, the radial strain, and the tangential strain around the inner wall calculated from the former are smaller.
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Fiedler, Josef, and Tomáš Koudelka. "Plasticity Calculation of Plates Using Layered Model." Applied Mechanics and Materials 825 (February 2016): 111–18. http://dx.doi.org/10.4028/www.scientific.net/amm.825.111.

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A layered model is used for nonlinear analysis of plates. Calculation is performed using DKT plate elements and considering plastic yielding of layers with the use of double Drucker-Prager yield criterion model for concrete and J2 plasticity model for reinforcement. Computation is done by the SIFEL solver using the Finite Element Method.
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Book chapters on the topic "Drucker-Prager yield criterion"

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Anand, Lallit, Ken Kamrin, and Sanjay Govindjee. "Limits to elastic response." In Introduction to Mechanics of Solid Materials. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192866073.003.0010.

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Abstract This chapter presents conditions for determining the limits to elastic behaviour for isotropic materials. Common limiting theories are discussed, including models for brittle tensile failure and ductile yield. Rankine’s failure criterion for brittle materials in tension is discussed. For ductile yield of polycrystalline metallic materials, the pressure-independent Mises and Tresca yield conditions are discussed, and for yield of granular materials the pressure-dependent Coulomb–Mohr and Drucker–Prager yield conditions are presented.
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Anand, Lallit, and Sanjay Govindjee. "Limits to elastic response. Yielding and failure." In Continuum Mechanics of Solids. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0019.

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This chapter presents conditions for determining the limits of elastic behaviour for isotropic materials. The stress invariants of equivalent pressure, equivalent shear stress, and equivalent tensile stress are defined. These are then used to define common yield conditions, viz. the pressure-independent Mises and Tresca yield conditions, as well as the pressure-dependent Coulomb-Mohr and the Drucker-Prager yield conditions. Rankine’s failure criterion for brittle materials in tension, that is failure in a brittle material will initiate when the maximum principal stress at a point in the body reaches a critical value, is also discussed.
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Conference papers on the topic "Drucker-Prager yield criterion"

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Su, Kai, and Yin Li. "Discussion of Extended Drucker-Prager Yield Criterion in Slope Stability Analysis." In 2009 Asia-Pacific Power and Energy Engineering Conference. IEEE, 2009. http://dx.doi.org/10.1109/appeec.2009.4918285.

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Al-Abduljabbar, A., and J. Pan. "Plane-Strain Near-Tip Fields for Wedge-Shaped Notches in Pressure-Sensitive Drucker-Prager Materials." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0627.

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Abstract Plane-strain stress and slip-line fields near the sharp and round tips of wedge-shaped notches in perfectly plastic pressure-sensitive materials are investigated. The Drucker-Prager yield criterion is adopted to describe the material yielding behavior. Notch-tip stress and slip-line fields are first established for a sharp notch. Then the notch-tip stress and slip-line fields for a round notch tip are obtained. The results indicate that as the wedge angle increases, the opening stress and hydrostatic tension ahead of the tip of the sharp notch decrease. Also, as the wedge angle increases, the extent of the exponential spiral zone ahead of the round notch tip decreases and, consequently, the maximum opening stress and hydrostatic tension ahead of the tip decrease.
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Irmak, Firat, Kevin Hanekom, Alex Torkaman, and Ali P. Gordon. "A Novel Yield Criterion for Nickel-Based Superalloys." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-83274.

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Abstract With the significant evolution of modern gas turbine engines, selection of high-temperature resistant alloys in the hot section is known to be the fundamental solution to enhance the capabilities of these engines. In general, the high-temperature components are mainly comprised of polycrystalline, directionally solidified, and single crystal superalloys. Single crystal (SX) superalloys were developed in the 1980s to achieve high fatigue resistance and substantial creep rupture strength by eliminating grain boundaries. Directional solidification methods enabled the solidification arrangement of the materials to be comprised of columnar grains which are aligned parallel to the &amp;lt;001&amp;gt; direction. These casting types have been frequently used with nickel-based superalloys (NBSAs) to develop modern gas turbine blades. In the present work, the yield behavior of generic SX and DS NBSAs is studied. By observing various SX and DS alloys, it was concluded with need for a novel criterion that can present anisotropic and tensile/compressive asymmetric yield surfaces. This novel criterion is comprised of the criterion proposed by Hill for anisotropic materials and the method developed by Drucker and Prager for alloys that have different tensile and compressive yield strengths. Additional terms to Hill’s criterion are introduced to capture the coupling effect of normal stress and shear stress when the applied loads are not in the direction of principal axes of the material coordinate system for single crystal alloys. The parameters for the criterion are obtained from simple uniaxial tension and compression experiments. Results are compared with various well-established yield criterions. Additionally, the novel criterion is utilized to capture the effective stress and strain of multi-axial loading of turbine blades under non-isothermal conditions.
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Ruan, D., G. Lu, and B. Wang. "Triaxial Failure of Aluminium Foams." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55493.

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Aluminium foam is a type of cellular materials and offers potential for lightweight structures and energy absorbers in automotive and aerospace industries. They may be subject to multiaxial loads in these applications and it is essential to have a failure criterion in terms of the stresses which cause yield. Three criteria have been proposed so far. Gibson and Ashby deduced a yield surface by using dimentional arguments for ideal, isotropic, homogenous foams. Miller’s yield surface was based on the model of Drucker and Prager, which was originally proposed as a model for soil. It incorporated a linear and quadratic dependence on the pressure. Deshpande and Fleck modified the yield criterion of solid metals to account for the effect of porosity on the yield criterion for a metallic foam. In this paper, triaxial tests of CYMAT aluminium foams were conducted by using MTS (Mechanical Test System) with a Hoek Cell to investigate their yield surfaces experimentally. Five types of aluminium foams with nominal relative densities. of 5%, 10%, 15%, 17% and 20% were tested for a range of axisymmetric compressive stress states. Experimental results were compared with three theoretical criteria. Triaxial tests at various strain rates (from 10−4 to 10+1 s−1) were also performed in this paper to investigate the influence of strain rate on the yield surface.
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Sable, Peter, and John P. Borg. "Mechanical Behavior of Thermosetting Polymers Undergoing High Strain-Rate Impact." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10459.

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Abstract A series of uniaxial and oblique flyer-plate impact experiments were conducted on fully dense, high durometer, polyurethane and epoxy formulations to investigate the high strain-rate dynamic material response. Samples were impacted at velocities ranging from 50 to 1,200 m/s at strain-rates of 105 – 106 s−1. The Hugoniot constants, yield strengths, and friction coefficients were inferred from velocity measurements taken from the back surface of the targets. Polymer Hugoniots were found to closely approximate those previously found in literature, with nonlinear curvature at low impact speeds due to viscoelastic effects. Strength behavior demonstrated pressure dependence which fit into a Mohr-Coulomb or Drucker-Prager yield surface criterion. Coefficients of friction between both epoxy and polyurethane, alongside a 7075-T6 aluminum tribological partner were quantified and results were used in conjunction with yield observations to hypothesize on the role of adhesion in high strain-rate shear of polymer-metal interfaces.
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Qiao, Yan, Yang Zhang, Litao Shang, et al. "New Understanding of Non-Uniform Propagation Mechanism of Horizontal Fractures in Shallow High-Permeability Reservoirs and Research on Main Controlling Factors." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-1149.

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ABSTRACT: The Changyuan block of Daqing oilfield in China has a shallow reservoir burial depth (&amp;lt;1000m), high permeability (&amp;gt;100mD), is in the late stage of development, and has a high water content (&amp;gt;95%). Hydraulic fracturing produced non-uniformly propagating horizontal fractures. At present, the mechanism and controlling factors of non-uniform propagation of horizontal fractures are not well understood. In this paper, based on the geological numerical model of Changyuan block, the non-uniform propagation of horizontal fracture is studied. The main conclusions are as follows: the horizontal fracture will expand in the direction of large fracture initiation stress difference (minimum horizontal principal stress - vertical stress); the main controlling factors for the non-uniform propagation of horizontal fracture are construction net pressure, temporary plugging distance, fracture initiation stress difference and its non-uniformity; with the increase of the fracture initiation stress difference non-uniformity, horizontal fractures increased flow conductivity, and the cumulative oil production volume will be increased. The micro-seismic monitoring results show that the non-uniform propagation law of horizontal fracture is in line with the actual situation. This is of great significance for the redevelopment of the shallow layer of the old oilfield. 1. INTRODUCTION At present, conventional shallow hyperpermeable reservoirs have entered the late stage of development, with high water content and very low oil recovery, and the remaining oil is mainly distributed in the reservoir with poor physical properties or imperfect injection and extraction zones. In order to realize the secondary development of high water content wells, it is necessary to carry out secondary utilization of residual oil. Hydraulic fracturing can be used to increase the mobility in the areas with poor physical properties and improve the injection and extraction relationship (Jintang Wang, 2019; Yanxin Lv, 2022; Chen B, 2022). Through experimental research and theoretical analysis, it is considered that the formation and propagation of hydraulic fractures are affected by many factors (Hou B, 2014; Li Q, 2015). In the early years, Warpinski (1987) pointed out that the horizontal stress difference, the relative angle relationship between hydraulic fractures and natural fractures, and the pumping pressure during fracturing would affect the formation and propagation of fractures based on the Mohr-Coulomb criterion. More laboratory experiments show that the propagation of hydraulic fractures is affected by the distribution of natural fractures in the reservoir, the original in-situ stress and the type of reservoir rock (Detournay E. 2016; Jia Y, 2016; Altammar, M. J., 2019). The shear strength of natural fractures and the magnitude of in-situ stress are related to the passage or cessation of hydraulic fractures (Blanton TL., 1982; Olson, J. E., 2012; Lei Q, 2022). At the same time, the mineral composition, Young ‘s modulus and tensile strength of reservoir rocks have an important influence on the morphology and effect of hydraulic fractures (Rickman, R., 2008; Zou, 2016; Huang, L., 2022). Numerical simulation is also an important method to study hydraulic fracturing. Finite element method (FEM) (Guo T, 2015; Ni, T, 2020), extended finite element method (XFEM) (Paul B, 2018; Zhou, Y., 2021), particle flow discrete element method (PFC) (Zheng H, 2020), finite-discrete element method (FDEM) (Shan Wu, 2022) and other methods are widely used to study the propagation of reservoir fractures (Songze Liao, 2024). Hu et al. (2021) conducted a two-dimensional XFEM simulation based on the Mohr-Coulomb yield criterion. The simulation results show that the influence of plastic deformation on fracture propagation cannot be ignored in the formation with large stress difference and friction angle. Zeng et al. simulated the fracture propagation process using XFEM based on Drucker-Prager criterion (Zeng Q, 2019). At present, Mohr-Coulomb criterion and Drucker-Prager criterion are widely used in elastoplastic rock constitutive models. The main difference between the two models is that the Drucker-Prager model considers hydrostatic pressure more comprehensively (Liu W, 2021).
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Wu, Yidi, Amin Mehrabian, Sheng-Li Chen, and Younane Abousleiman. "Plastic Deformation and Resulting Enhancement in Caprock Failure Limit." In SPE Annual Technical Conference and Exhibition. SPE, 2024. http://dx.doi.org/10.2118/220695-ms.

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Abstract Loss of caprock integrity is a well-known complication of CO2 geo-sequestration projects. Existing studies on caprock integrity analysis often apply a yield criterion on elastic solutions for the caprock geomechanics problem and, consequently, would make an underestimation of the permissible change in total volume of fluid injection. This work considers plastic deformation after yielding but before caprock failure through an analytical solution for a spherically symmetric proxy model of reservoir and surrounding caprock. The part of solution pertaining to pore fluid flow and geomechanics of reservoir is time-dependent and based on the fully coupled theory of poroelasticity while the elastoplastic deformation of caprock is treated by use of Drucker-Prager plastic flow models with strain hardening. The latter problem (plastic caprock) is formulated using Lagrangian formulation of elastoplastic deformations while the time-dependency of the former problem (poroelastic reservoir) is treated using the Laplace integral transform method. Continuity of displacement, stress and pore fluid flow at the boundary between the caprock and reservoir connects the two solutions. Findings indicate that consideration of a plastic strain allowance for the caprock indeed increases the injectable volume of CO2 in the reservoir, substantially. This volume is larger for the undrained caprock if elastoplastic strain allowance is relatively large while reverse is true for smaller elastoplastic strain allowances. In either case, strong dependence of injectable fluid volume on the rock strain hardening parameter is observed. This result is rationalized by studying the time-dependent evolution of the elastoplastic stress paths corresponding to the drained and undrained caprock solutions.
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Hamid, Osman, Hussain Albahrani, and Mohammed Suaid. "Yielded Zone Characterization While Drilling a Wellbore into Clastic Reservoirs Using Elastoplastic Modeling Approaches." In International Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/igs-2023-0018.

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Abstract Drilling a wellbore into a clastic reservoir exhibits complex rock behavior, including plastic deformation and yield zone development, which can affect wellbore stability and hydrocarbon production efficiency. Elastoplastic modeling methods have been increasingly used to simulate the drilling process and predict the location, shape, and size of yielded zones in the reservoir. This study aims to characterize the yielded zones in a sandstone reservoir during a borehole lifetime using elastoplastic modeling approaches. The methodology involves developing a finite element model of the sandstone reservoir using appropriate meshing techniques and boundary conditions definition for the problem. The constitutive model used in this study is the Drucker-Prager yielded criterion, which accounts for the non-linear behavior of the material during plastic deformation and yielding. The numerical method used is the finite element method, which discretizes the reservoir into small elements and solves for the stresses and strains in each element. The drilling process is simulated using incremental loading, miming the gradual application of drilling forces on the reservoir. The stress and strain fields in the reservoir were monitored during drilling, and areas of plastic deformation and yield were identified. The results showed that the elastoplastic modeling approaches used in this study accurately predicted the size, shape, and location of yielded zones in the clastic reservoir. The location and shape of the yielded zones agreed with the field observations. Additionally, the model predicted the formation of a narrow, highly deformed zone around the wellbore, which is consistent with field observations. The size of the yielded zone depended on the drilling parameters, rock mechanical properties, and in-situ stresses. This study concludes that elastoplastic modeling approaches can be used to predict the size, shape, and location of yielded zones in sandstone reservoirs during wellbore drilling and production operations. The methodology used in this study can be used as a valuable tool for borehole planning and reservoir management. The innovation of this study lies within the use of elastoplastic modeling approaches to optimize drilling parameters and reduce the risk of wellbore instability in sandstone reservoirs. The results of this study can aid in designing drilling strategies that minimize the impact of yielded zones and improve wellbore stability, ultimately leading to increased production efficiency.
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Hamid, Osman, Hussain Albahrani, and Mohammed Suaid. "Yielded Zone Characterization While Drilling a Wellbore into Clastic Reservoirs Using Elastoplastic Modeling Approaches." In International Petroleum Technology Conference. IPTC, 2024. http://dx.doi.org/10.2523/iptc-23356-ms.

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ABSTRACT Drilling a wellbore into a clastic reservoir exhibits complex rock behavior, including plastic deformation and yield zone development, which can affect wellbore stability and hydrocarbon production efficiency. Elastoplastic modeling methods have been increasingly used to simulate the drilling process and predict the location, shape, and size of yielded zones in the reservoir. This study aims to characterize the yielded zones in a sandstone reservoir during a borehole lifetime using elastoplastic modeling approaches. The methodology involves developing a finite element model of the sandstone reservoir using appropriate meshing techniques and boundary conditions definition for the problem. The constitutive model used in this study is the Drucker-Prager yielded criterion, which accounts for the non-linear behavior of the material during plastic deformation and yielding. The numerical method used is the finite element method, which discretizes the reservoir into small elements and solves for the stresses and strains in each element. The drilling process is simulated using incremental loading, miming the gradual application of drilling forces on the reservoir. The stress and strain fields in the reservoir were monitored during drilling, and areas of plastic deformation and yield were identified. The results showed that the elastoplastic modeling approaches used in this study accurately predicted the size, shape, and location of yielded zones in the clastic reservoir. The location and shape of the yielded zones agreed with the field observations. Additionally, the model predicted the formation of a narrow, highly deformed zone around the wellbore, which is consistent with field observations. The size of the yielded zone depended on the drilling parameters, rock mechanical properties, and in-situ stresses. This study concludes that elastoplastic modeling approaches can be used to predict the size, shape, and location of yielded zones in sandstone reservoirs during wellbore drilling and production operations. The methodology used in this study can be used as a valuable tool for borehole planning and reservoir management. The innovation of this study lies within the use of elastoplastic modeling approaches to optimize drilling parameters and reduce the risk of wellbore instability in sandstone reservoirs. The results of this study can aid in designing drilling strategies that minimize the impact of yielded zones and improve wellbore stability, ultimately leading to increased production efficiency.
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Dondapati, Gopi Krishna, Debasis Deb, Ian Porter, and Shivakumar Karekal. "Elasto-Plastic Damage and Dilation Analysis of Fibre-Reinforced Thin Spray-On Liner Coated Concrete and Coal Specimens Under Compressive Loading." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0259.

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ABSTRACT Skin support provides resistance to the shearing and spalling of exposed rock layers/blocks, as well as protecting the surface from open atmospheric contact. Thin spray-on liner (TSL) is one such skin support that can be applied to the roof or sidewalls of an excavation to enhance load-deformability behaviour. The failure behaviour of concrete and coal blocks when coated with a thin layer of polymeric liner was studied experimentally and numerically. The experimental results show a distinct "slight strain-softening zone" in the stress-strain curves of cubical concrete and coal samples when coated with a 5 mm thick polymeric liner. A micro-plane based coupled-damage-plasticity material model with the Drucker-Prager yield criterion is also implemented for determining the damage and dilation behaviour in the concrete and coal samples with and without liner. The results show that liner application reduces the magnitude of damage by nearly 23% in both concrete and coal blocks. On the other hand, the dilation angle increases rapidly to its peak value with an increase in plastic shear strain (γp). INTRODUCTION The design of structures in underground rock mass poses a unique problem to engineers from two fronts: i) before excavation, the rock is subjected to in-situ stresses, and ii) after excavation, protecting the skin of the exposed rock mass. Once the excavation is complete, the final stress state is a combination of in-situ and induced stresses (Brady &amp; Brown, 2004). Loss of ground confinement results in softening of the skin of the excavation. It allows excessive displacements in radial and tangential directions, and causes considerable dilation. The situation worsens if the rock mass contains pre-existing geological discontinuities, material diversity, and water saturation. Lack of skin support may be one of the main factors for the key-block instability problem at the initial excavation stages. According to the key-block theory, if all potentially unstable wedges are supported, the remainder of the rock mass will remain stable due to its inability to move (Goodman, 1995). Potvin et al. (2001) suggest that liners can improve the control of small pieces of freshly exposed rocks near an active face. Skin support prevents the shearing and spalling of exposed rock layers/blocks and protects the surface from open atmospheric contact. According to Tannant (2001), small rock displacements at interactions between rock blocks are sufficient for the liner to start functioning.
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