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Journal articles on the topic 'Generalized critical plane criterion'

Author: Grafiati

Published: 27 April 2023

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1

Crăciun, Eduard Marius, Marin Marin, and Adrian Răbâea. "Anti-plane crack in human bone. I. Mathematical modelling." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 1 (2018): 81–90. http://dx.doi.org/10.2478/auom-2018-0004.

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Abstract We consider an anti-plane crack in a bone, considered as an initially deformed orthotropic, linear elastic composite material. Elastic incremental fields in the composite material are obtained following theories of Guz’s representation and of Riemann-Hilbert problem. Critical values of crack propagation angle are determined using Sih’s generalized criterion.

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2

Craciun, Eduard Marius, Tomasz Sadowski, Liviu Marsavina, and Adrian Rabaea. "Mathematical Aspects Regarding Cracks Behaviour in Wood Composites." Key Engineering Materials 601 (March 2014): 108–11. http://dx.doi.org/10.4028/www.scientific.net/kem.601.108.

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In this paper we study the interaction of two unequal collinear cracks in a pre-stressed fiber reinforced wood composite material in anti-plane mode of fracture. A mathematical model is associated to the mechanical problem. Starting from the boundary, constitutive and far field conditions we obtain the representation of the incremental displacement, stress and strain fields using two complex potentials. Using Sih s generalized fracture criterion we determine the critical incremental shear stress which produce crack propagation and the crack tips propagation direction in a particular case of a

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3

Loghman, A., and M. A. Wahab. "Loading and Unloading of Thick-Walled Cylindrical Pressure Vessels of Strain-Hardening Material." Journal of Pressure Vessel Technology 116, no. 2 (1994): 105–9. http://dx.doi.org/10.1115/1.2929562.

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A thick-walled closed-end cylinder of isotropic, homogeneous and strain-hardening material is considered in this study. Loading is assumed to consist of a temperature gradient as well as an internal pressure. Unloading is completely elastic without considering a Bauschinger effect. A generalized plane strain case in which the material obeys Von Mises yield criterion is studied. Using the yield criterion, critical conditions for a wide range of loading combinations and thickness ratios are investigated. After the critical condition is established, load is increased beyond the critical values an

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4

Kacker, Ruchin, and Shailendra Singh Bhadauria. "Investigations on critical anisotropic triaxiality at the crack tip under mixed-mode (I + II) fracture." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 13 (2019): 4688–706. http://dx.doi.org/10.1177/0954406219827337.

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In this analytical study, anisotropic triaxiality, at the yield loci of the crack tip under mixed-mode (I + II) loading, has been modeled. According to the well-known M-criterion the crack of any orientation from the loading axis, initiates at a polar angle at which criticality of triaxiality occurs. Thus, the critical values of triaxiality have been obtained by statistically evaluating the proposed model for various crack inclinations. The combination of six anisotropic constants classifies the five different yield conditions, which are useful in various alloys. Hill’s generalized anisotropic

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5

Liao, Mengke, Yuanming Lai, and Chong Wang. "A strength criterion for frozen sodium sulfate saline soil." Canadian Geotechnical Journal 53, no. 7 (2016): 1176–85. http://dx.doi.org/10.1139/cgj-2015-0569.

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Salt content has been proven to be an important influencing factor on the mechanical properties of frozen saline soils, whose strength criterion is different from that of unfrozen saline soils or frozen soils without salts. In this paper, a series of conventional triaxial tests are carried out for frozen saline soils with sodium sulfate at a temperature of –6 °C. A strength criterion of the frozen saline soils, including the influence of salt content, is established by using the generalized nonlinear strength theory. Based on conventional triaxial test results, a modified hydrostatic pressure

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6

Chang, Ming-Fang, Cee Ing Teh, and LaiFa Cao. "Critical state strength parameters of saturated clays from the modified Cam clay model." Canadian Geotechnical Journal 36, no. 5 (1999): 876–90. http://dx.doi.org/10.1139/t99-050.

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The evaluation of critical state strength parameters is important, especially with the introduction of limit state design. The modified Cam clay (MCC) model is often used, but it is suitable mainly for evaluating the critical state strength parameters from triaxial compression tests on isotropically consolidated soils. The initial stress condition of a natural soil is usually anisotropic, and the stress paths imposed by external loading could deviate from that of a simple triaxial compression. The use of MCC in practice deserves careful consideration. This paper describes a proposed extension

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7

Alinaghizadeh, Farhad, and Mahmoud Shariati. "Buckling Analysis of Variable Thickness Radially Functionally Graded Annular Sector Plates Resting on Two-Parameter Elastic Foundations by the GDQ Method." International Journal of Applied Mechanics 07, no. 06 (2015): 1550083. http://dx.doi.org/10.1142/s1758825115500830.

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In this paper, buckling analysis of thick radially functionally graded circular/annular sector plates with variable thickness resting on two-parameter elastic foundations is studied. The material properties vary along radial direction according to either an exponential or a power-law distribution. The stability equations are derived using the adjacent equilibrium criterion and are based on a higher order shear deformation theory. The generalized differential quadrature method is employed to discretize the stability equations and convert them into a system of algebraic eigenvalue problem. The f

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8

Roy, A. K., and S. W. Tsai. "Design of Thick Composite Cylinders." Journal of Pressure Vessel Technology 110, no. 3 (1988): 255–62. http://dx.doi.org/10.1115/1.3265597.

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A simple and efficient design method for thick composite cylinders is presented. Micromechanics and macromechanics are integrated by simple relations and the integrated micro and macromechanics approach has been adopted to enable the designers to instantly study the sensitivity of the micromechanical variables on the final design. The stress analysis is based on 3-dimensional elasticity by considering the cylinder in the state of generalized plane strain. The analysis for both open-ended (pipes) and closed-ended (pressure vessels) cylinders subjected to internal and external pressures and axia

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9

Nakhmanson, G. S., V. S. Kostennikov, and D. A. Nitsak. "Significance Level and the Strength of Test Shift Through the Finite Rate of the Transient Response." Ural Radio Engineering Journal 6, no. 4 (2022): 378–89. http://dx.doi.org/10.15826/urej.2022.6.4.002.

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A significance level and the strength of test shifts are studied then the error function as a transient response model of logical gate is used for testing of statistical hypothesis with Neumann-Pearson criterion. Shifts are rated for Rayleigh accumulated distributions. The generalized signalto-noise ratio is used as one of the variable parameters. The paper reveals that the finite slope of the transient response curve of logical gate results in a type I error increase. The significance level lock leads to bottom of critical region increase and the strength of test decrease in return. The twofo

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10

Craciun, Eduard Marius, Adrian Carabineanu, and Niculae Peride. "Fracture Analysis of an Oblique Crack Propagation in a Pre-Stressed Glass-Epoxy Composite." Key Engineering Materials 385-387 (July 2008): 733–36. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.733.

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We consider a pre-stressed material containing an oblique crack of a length 2a situated in x1x3 plane. We supposed that the material is unbounded and the crack faces are acted by constant normal incremental stresses p. The initial applied stress ◦ is in direction of the crack. Our first aim is to determine the elastic state produced in the body using Guz’s representation theorem. Our second aim is to determine the critical values of the incremental stresses and the direction of crack propagation. To do this, we use Sih’s generalised fracture criterion for an orthotropic elastic composite. In t

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NIKOL’SKIY, Aleksey A. "Generalized Stability Criteria for Special Linear Automatic Control Systems with a Time Delay." Elektrichestvo 11, no. 11 (2020): 38–46. http://dx.doi.org/10.24160/0013-5380-2020-11-38-46.

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Matters concerned with stability of special linear automatic control systems with a time delay are considered. The determining feature of such systems is that the control loop contains a link of pure (or transport) delay by time T (or for the path S) of the signal at its output with respect to the signal at its input. Apart from time delay links, these systems also contain other linear elements. Such systems include both longstudied systems for transporting various materials and relatively new selflearning repetitive control systems for accurately reproducing cyclically repeated motions or oth

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12

WANG, XINGYUAN, QINGYONG LIANG, and JUAN MENG. "DYNAMIC ANALYSIS OF THE CAROTID–KUNDALINI MAP." Modern Physics Letters B 22, no. 04 (2008): 243–62. http://dx.doi.org/10.1142/s0217984908014717.

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The nature of the fixed points of the Carotid–Kundalini (C–K) map was studied and the boundary equation of the first bifurcation of the C–K map in the parameter plane is presented. Using the quantitative criterion and rule of chaotic system, the paper reveals the general features of the C–K Map transforming from regularity to chaos. The following conclusions are obtained: (i) chaotic patterns of the C–K map may emerge out of double-periodic bifurcation; (ii) the chaotic crisis phenomena are found. At the same time, the authors analyzed the orbit of critical point of the complex C–K Map and put

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13

Andrianopoulos, Nikos P., and Aggelos Pikrakis. "On the effect of hydrostatic stress on fatigue crack propagation." International Journal of Structural Integrity 8, no. 2 (2017): 240–55. http://dx.doi.org/10.1108/ijsi-06-2016-0021.

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Purpose The purpose of this paper is to study mutual interaction between von Mises equivalent and hydrostatic stresses at the crack tip area of an elastoplastic material in order to obtain critical conditions for crack propagation under fatigue loading. Design/methodology/approach A5083-H111 aluminum alloy is used to obtain a Chaboche-type constitutive equation, which is introduced in a commercial finite elements package to evaluate stress distribution at crack tip area. A simplified three-dimensional (generalized plane strain) grid is used, resulting in fast and accurate results. Numerical si

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14

Bilyk, Serhii, Artem Bilyk, and Vitalii Tonkacheiev. "The stability of low-pitched von Mises trusses with horizontal elastic supports." Strength of Materials and Theory of Structures, no. 108 (May 30, 2022): 131–44. http://dx.doi.org/10.32347/2410-2547.2022.108.131-144.

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Abstract. Purpose. The work’s aim is to study the horizontal supports stiffness impact, which simulate the conditions for supporting the domes upper tier on the von Mises trusses' stability. Methodology. A three-hinged truss' deformed scheme under applying a concentrated vertical load in the ridge joint was considered. An analytical method was used to obtain a generalized equation for the three-hinged trusses' stability criterion to determine the critical load depending on the design system's parameters such as the rods' inclination angle, the rods' stiffness, and the horizontal elastic suppor

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15

Lee, Seung-Joon, George T. Yates, and T. Yaotsu Wu. "Experiments and analyses of upstream-advancing solitary waves generated by moving disturbances." Journal of Fluid Mechanics 199 (February 1989): 569–93. http://dx.doi.org/10.1017/s0022112089000492.

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In this joint theoretical, numerical and experimental study, we investigate the phenomenon of forced generation of nonlinear waves by disturbances moving steadily with a transcritical velocity through a layer of shallow water. The plane motion considered here is modelled by the generalized Boussinesq equations and the forced Korteweg-de Vries (fKdV) equation, both of which admit two types of forcing agencies in the form of an external surface pressure and a bottom topography. Numerical results are obtained using both theoretical models for the two types of forcings. These results illustrate th

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16

Karolczuk, Aleksander, and Ewald Macha. "Critical Planes in Multiaxial Fatigue." Materials Science Forum 482 (April 2005): 109–14. http://dx.doi.org/10.4028/www.scientific.net/msf.482.109.

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The paper includes a review of literature on the multiaxial fatigue failure criteria based on the critical plane concept. The criteria were divided into three groups according to the distinguished fatigue damage parameter used in the criterion, i.e. (i) stress, (ii) strain and (iii) strain energy density criteria. Each criterion was described mainly by the applied the critical plane position. The multiaxial fatigue criteria based on two critical planes seem to be the most promising. These two critical planes are determined by different fatigue damage mechanisms (shear and tensile mechanisms).

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17

Jin, Dan, Hai Ling Fu, and Wei Lin. "Fatigue Life Prediction Based on FS Criterion for Multi-Axial Loading." Key Engineering Materials 452-453 (November 2010): 605–8. http://dx.doi.org/10.4028/www.scientific.net/kem.452-453.605.

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The Fatemi–Socie criterion is evaluated using the combined axial torsion fatigue testing results obtained from extensive experiments on thin-walled tubular specimens made from 304 stainless steel. The Fatemi–Socie criterion combines the maximum shear strain amplitude with a consideration of the normal stress on the critical plane. Rainflow cycle counting and Morrow’s plastic work interaction rule are used to calculate fatigue damage. The fatigue life prediction is conducted by using the maximum shear strain plane as the critical plane by considering the weight function and the maximum damage p

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18

Zhang, Jia-Liang, De-Guang Shang, Yu-Juan Sun, and Xiao-Wei Wang. "Multiaxial high-cycle fatigue life prediction model based on the critical plane approach considering mean stress effects." International Journal of Damage Mechanics 27, no. 1 (2016): 32–46. http://dx.doi.org/10.1177/1056789516659331.

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The aim of this paper is to propose a modified multiaxial high-cycle fatigue criterion based on the critical plane approach. The proposed criterion contains three parameters, that is, shear stress amplitude, normal stress amplitude and mean normal stress. In order to take into account the mean shear stress effects, the critical plane is determined by the maximum shear stress. In the proposed multiaxial fatigue criterion, the influence of mean normal stress on fatigue damage is also considered. Based on the proposed criterion, the multiaxial fatigue life is predicted, and the results showed a g

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19

NERLI, A., S. CAMARRI, and M. V. SALVETTI. "A conditional stability criterion based on generalized energies." Journal of Fluid Mechanics 581 (May 22, 2007): 277–86. http://dx.doi.org/10.1017/s002211200700609x.

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An energy criterion for conditional stability is proposed, based on the definition of generalized energies, obtained through a perturbation of the classical L2 (kinetic) energy. This perturbation is such that the contribution of the linear term in the perturbation equation to the generalized energy time derivative is negative definite. A critical amplitude threshold is then obtained by imposing the monotonic decay of the generalized energy. The capabilities of the procedure are appraised through the application to three different low-dimensional models. The effects of different choices in the

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20

Ushaksaraei, R., and S. Pietruszczak. "Failure Criterion for Structural Masonry based on Critical Plane Approach." Journal of Engineering Mechanics 128, no. 7 (2002): 769–78. http://dx.doi.org/10.1061/(asce)0733-9399(2002)128:7(769).

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21

Carpinteri, Andrea, Andrea Spagnoli, and Sabrina Vantadori. "Multiaxial fatigue assessment using a simplified critical plane-based criterion." International Journal of Fatigue 33, no. 8 (2011): 969–76. http://dx.doi.org/10.1016/j.ijfatigue.2011.01.004.

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22

Miller, Evan. "A locally anisotropic regularity criterion for the Navier–Stokes equation in terms of vorticity." Proceedings of the American Mathematical Society, Series B 8, no. 6 (2021): 60–74. http://dx.doi.org/10.1090/bproc/74.

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In this paper, we will prove a regularity criterion that guarantees solutions of the Navier–Stokes equation must remain smooth so long as the vorticity restricted to a plane remains bounded in the scale critical space L t 4 L x 2 L^4_t L^2_x , where the plane may vary in space and time as long as the gradient of the unit vector orthogonal to the plane remains bounded. This extends previous work by Chae and Choe that guaranteed that solutions of the Navier–Stokes equation must remain smooth as long as the vorticity restricted to a fixed plane remains bounded in a family of scale critical spaces

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23

Zou, Jin-feng, and Jia-min Du. "A Numerical Approach for the Quasi-Plane Strain-Softening Problem of Cylindrical Cavity Expansion Based on the Hoek-Brown Failure Criterion." Mathematical Problems in Engineering 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/3698525.

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This paper focuses on a novel approach for the quasi-plane strain-softening problem of the cylindrical cavity expansion based on generalized Hoek-Brown failure criterion. Because the intermediate principal stress is deformation-dependent, the quasi-plane strain problem is defined to implement the numerical solution of the intermediate principal stress. This approach assumes that the initial total strain in axial direction is a nonzero constant (ε0) and the plastic strain in axial direction is not zero. Based on 3D failure criterion, the numerical solution of plastic strain is given. Solution o

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24

Ronchei, Camilla, Andrea Carpinteri, and Sabrina Vantadori. "Energy Concepts and Critical Plane for Fatigue Assessment of Ti-6Al-4V Notched Specimens." Applied Sciences 9, no. 10 (2019): 2163. http://dx.doi.org/10.3390/app9102163.

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In the present paper, the fatigue life assessment of notched structural components is performed by applying a critical plane-based multiaxial fatigue criterion. Such a criterion is formulated by using the control volume concept related to the strain energy density criterion. The verification point is assumed to be at a given distance from the notch tip. Such a distance is taken as a function of the control volume radii around the notch tip under both Mode I and Mode III loading. The accuracy of the present criterion is evaluated through experimental data available in the literature, concerning

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25

Chu, C. C. "Fatigue Damage Calculation Using the Critical Plane Approach." Journal of Engineering Materials and Technology 117, no. 1 (1995): 41–49. http://dx.doi.org/10.1115/1.2804370.

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The critical plane approach is applied to model material fatigue behavior under any constant amplitude proportional loading. The most critical plane and the largest damage parameter are determined in closed form for six damage criteria that have been proposed in the literature. The correct procedures of utilizing these closed-form solutions to construct the damage parameter versus fatigue life curve are outlined. It is shown that the common practice of characterizing the material’s fatigue behavior by plotting the damage parameter evaluated on the maximum shear plane against the observed fatig

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26

Hamdi, A., M. Naït Abdelaziz, N. Aït Hocine, P. Heuillet, and N. Benseddiq. "A new generalized fracture criterion of elastomers under quasi-static plane stress loadings." Polymer Testing 26, no. 7 (2007): 896–902. http://dx.doi.org/10.1016/j.polymertesting.2007.06.014.

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27

Kawa, Marek. "Failure Criterion for Brick Masonry: A Micro-Mechanics Approach." Studia Geotechnica et Mechanica 36, no. 3 (2015): 37–48. http://dx.doi.org/10.2478/sgem-2014-0025.

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Abstract The paper deals with the formulation of failure criterion for an in-plane loaded masonry. Using micro-mechanics approach the strength estimation for masonry microstructure with constituents obeying the Drucker-Prager criterion is determined numerically. The procedure invokes lower bound analysis: for assumed stress fields constructed within masonry periodic cell critical load is obtained as a solution of constrained optimization problem. The analysis is carried out for many different loading conditions at different orientations of bed joints. The performance of the approach is verifie

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28

Gu, Jiefei, Puhui Chen, Ke Li, and Lei Su. "A Macroscopic Strength Criterion for Isotropic Metals Based on the Concept of Fracture Plane." Metals 9, no. 6 (2019): 634. http://dx.doi.org/10.3390/met9060634.

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Although the linear Mohr–Coulomb criterion is frequently applied to predict the failure of brittle materials such as cast iron, it can be used for ductile metals too. However, the criterion has some significant deficiencies which limit its predictive ability. In the present study, the underlying failure hypotheses of the linear Mohr–Coulomb criterion were thoroughly discussed. Based on Mohr’s physically meaningful concept of fracture plane, a macroscopic strength criterion was developed to explain the failure mechanism of isotropic metals. The failure function was expressed as a polynomial exp

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29

Wu, Souheng. "A generalized criterion for rubber toughening: The critical matrix ligament thickness." Journal of Applied Polymer Science 35, no. 2 (1988): 549–61. http://dx.doi.org/10.1002/app.1988.070350220.

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30

Alexandrov, Sergei, and Prashant Date. "A general method of stress analysis for a generalized linear yield criterion under plane strain and plane stress." Continuum Mechanics and Thermodynamics 31, no. 3 (2018): 841–49. http://dx.doi.org/10.1007/s00161-018-0743-6.

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31

ZHANG, CHENG-CHENG, and WEI-XING YAO. "An improved multiaxial high-cycle fatigue criterion based on critical plane approach." Fatigue & Fracture of Engineering Materials & Structures 34, no. 5 (2010): 337–44. http://dx.doi.org/10.1111/j.1460-2695.2010.01523.x.

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32

Carpinteri, Andrea, Andrea Spagnoli, Camilla Ronchei, Daniela Scorza, and Sabrina Vantadori. "Critical Plane Criterion for Fatigue Life Calculation: Time and Frequency Domain Formulations." Procedia Engineering 101 (2015): 518–23. http://dx.doi.org/10.1016/j.proeng.2015.02.062.

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33

Carpinteri, Andrea, Andrea Spagnoli, Camilla Ronchei, and Sabrina Vantadori. "A Strain-based Multiaxial Fatigue Criterion Connected to the Critical Plane Approach." Procedia Engineering 74 (2014): 317–20. http://dx.doi.org/10.1016/j.proeng.2014.06.270.

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34

Gabr Al Hagri. "Correspondence between two bicolored plane trees And generalized Tchebytchev polynomial." Albaydha University Journal 1, no. 2 (2020): 200–213. http://dx.doi.org/10.56807/buj.v1i2.23.

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In this paper, we give some theoretical results, for the Tchebytchev polynomials of a tree. A Tchebytchev polynomial, any polynomial has at most two critical values. we consider two bicolored plane trees (two neighboring vertices are always indifferent colorings).We will introduce the composition and decomposition of two bicolored plane trees A and B denoted by (A o B) and we are interested in the relation between two bicolored plane trees and generalized Tchebytchev polynomials.

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Jiang, Xiaoyong, Zegen Wang, Lianyong Liu, and Zhiping Zhou. "The Determination of Reduction Ratio Factor in Homogeneous Soil-Slope with Finite Element Double Strength Reduction Method." Open Civil Engineering Journal 7, no. 1 (2013): 205–9. http://dx.doi.org/10.2174/1874149501307010205.

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Even though there exist lots of documents on Finite Element Strength Reduction Method, cohesion and internal friction angle in these materials are reduced through the same reduction factor, which fails to reflect either of their safe reserving quality or the quality to precisely match slope failure process and mechanism. As is known, the exterior angle circumcircle yield criterion DP1 of the generalized Mises would cause larger slope stability factor in slope stability analysis, whereas inscribed circle yield criterion DP4 of the generalized Mises has higher precision for the plane strain prob

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36

Leng, Song, Li Hou, and Yang Duan. "An Approach for Stability Analysis of Gas/Fluid-Filled Cylindrical Hole in Laminated Materials." Mathematical Problems in Engineering 2020 (May 5, 2020): 1–15. http://dx.doi.org/10.1155/2020/6084972.

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An explicit analytical workflow for cylindrical hole stability analyses in general laminated materials that possess transversely isotropic (TI) anisotropy is presented. In this approach, the calculation of the distribution of the stresses around a cylindrical hole and the failure evaluation at the hole wall consider the effects of both material elasticity anisotropy and strength anisotropy caused by material laminated structures. Material strength anisotropy is assumed to be caused by the sliding of preexisting weakness planes oriented parallel to the isotropic plane of the material. The effec

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37

Xu, Shen, Shun-Peng Zhu, Yong-Zhen Hao, and Ding Liao. "Critical plane–based multiaxial fatigue life prediction of turbine disk alloys by refining normal stress sensitivity." Journal of Strain Analysis for Engineering Design 53, no. 8 (2018): 719–29. http://dx.doi.org/10.1177/0309324718779922.

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For engineering components subjected to complex multiaxial loadings, critical plane approaches like Fatemi–Socie criterion have been commonly utilized for life prediction of these components. Within the Fatemi–Socie criterion, the normal stress sensitivity parameter k is usually fitted from additional experimental data, which introduces inconvenience for practice especially under limited testing data conditions. In this regard, a simple critical plane–based damage parameter is put forward with no additional material constants, which attempts to provide a robust method for multiaxial fatigue an

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38

Meng, Qingfeng, Xuyue Hu, Guanghui Chen, Peng Li, and Zhi Wang. "Estimation of the Critical Seismic Acceleration for Three-Dimensional Rock Slopes." Applied Sciences 11, no. 24 (2021): 11625. http://dx.doi.org/10.3390/app112411625.

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An analytical approach for the estimating of critical seismic acceleration of rock slopes was proposed in this study. Based on the 3D horn failure model, the critical seismic acceleration coefficient of rock slopes was conducted with the modified Hoek–Brown (MHB) failure criterion in the framework of upper-bound theory for the first time. The nonlinear Hoek–Brown failure criterion is incorporated into the three-dimensional rotational failure mechanism, and a generalized tangent technique is introduced and employed to convert the nonlinear Hoek–Brown failure criterion into a linear criterion. T

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39

Chen, Dun, Dayan Wang, Wei Ma, Lele Lei, and Guoyu Li. "A strength criterion for frozen clay considering the influence of stress Lode angle." Canadian Geotechnical Journal 56, no. 11 (2019): 1557–72. http://dx.doi.org/10.1139/cgj-2018-0054.

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To investigate the influence of stress Lode angle on frozen soil, a series of directional shear tests was conducted on artificial frozen clay at three temperatures (–6, –10, and –15 °C) and five stress Lode angles (θσ = –30°, –16.1°, 0°, 16.1°, and 30°) using a hollow cylindrical apparatus. An elliptical function was proposed according to the strength envelope evaluation with the mean principal stress (p) in the p–q plane. In addition, generalized nonlinear strength theory (GNST) was introduced in the π plane to describe the evolution of the strength envelope with increasing mean principal str

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40

Carpinteri, Andrea, Giovanni Fortese, Camilla Ronchei, Daniela Scorza, Sabrina Vantadori, and Filippo Berto. "Joined application of a multiaxial critical plane criterion and a strain energy density criterion in low-cycle fatigue." Frattura ed Integrità Strutturale 11, no. 41 (2017): 66–70. http://dx.doi.org/10.3221/igf-esis.41.10.

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Fokkema, Jacob T., and Anton Ziolkowski. "The critical reflection theorem." GEOPHYSICS 52, no. 7 (1987): 965–72. http://dx.doi.org/10.1190/1.1442365.

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In predictive deconvolution of seismic data, it is assumed that the response of the earth is white. Any nonwhite components are presumed to be caused by the source wavelet or by unwanted multiples. We show that this whiteness assumption is invalid at precritical incidence. We consider plane waves incident on a layered acoustic half‐space. At exactly critical incidence at any interface in the half‐space, the lower layer acts similar to a rigid plate. The response of the half‐space is then all‐pass, or white. This result we call the critical reflection theorem. The response is also white if the

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42

Profant, Tomáš, Jan Klusák, and Michal Kotoul. "Case Criterion of Crack Onset in Orthotropic Bi-Material Notches." Key Engineering Materials 465 (January 2011): 157–60. http://dx.doi.org/10.4028/www.scientific.net/kem.465.157.

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A bi-material notch composed of two orthotropic parts is considered. The stresses and displacements are expressed using the Stroh-Eshelby-Lekhnitskii formalism for plane elasticity. The potential direction of crack initiation is determined from the maximum mean value of the tangential stress or the local minimum of the mean value of the generalized strain energy density factor in both materials [1, 2]. The matched asymptotic procedure is introduced to derive the change of potential energy for the debonding crack and the crack initiated in the determined direction [3].

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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 sp

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Carpinteri, Andrea, Andrea Spagnoli, and Sabrina Vantadori. "Reformulation in the frequency domain of a critical plane-based multiaxial fatigue criterion." International Journal of Fatigue 67 (October 2014): 55–61. http://dx.doi.org/10.1016/j.ijfatigue.2014.01.008.

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Liu, Yongming, Chao Zhang, and Yibing Xiang. "A critical plane-based fracture criterion for mixed-mode delamination in composite materials." Composites Part B: Engineering 82 (December 2015): 212–20. http://dx.doi.org/10.1016/j.compositesb.2015.08.017.

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Wang, Y., and J. Pan. "Analysis of Small Edge Cracks and Its Implications to Multiaxial Fatigue Theories." Journal of Pressure Vessel Technology 123, no. 1 (2000): 2–9. http://dx.doi.org/10.1115/1.1342012.

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The near-tip fields of small edge (Case B) cracks in power-law hardening materials are investigated under generalized plane strain, mixed mode, and general yielding conditions by finite element analyses. The results of the J integral from the finite element analyses are used to correlate to a fatigue crack growth criterion for Case B cracks. The trend of constant J contours on the Γ-plane is compared reasonably well with those of the experimental results of constant fatigue life and constant fatigue crack growth rate under multiaxial loading conditions.

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Vaghefi, Reza, MR Hematiyan, and Ali Nayebi. "Three-dimensional thermo-mechanical analysis of continuous casting and comparison with two-dimensional models." Journal of Strain Analysis for Engineering Design 53, no. 6 (2018): 421–34. http://dx.doi.org/10.1177/0309324718780131.

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In this study, a three-dimensional thermo-elasto-plastic model is developed for simulating a continuous casting process. The obtained results are compared with those from different two-dimensional analyses, which are based on plane stress, plane strain, and generalized plane strain assumptions. All analyses are carried out using the meshless local Petrov–Galerkin method. The effective heat capacity method is employed to simulate the phase change process. The von Mises yield criterion and elastic–perfectly-plastic model are used to simulate the stress state during the casting process; while, ma

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Stratula, Boris A., Nikolai G. Burago, Alexander D. Nikitin, and Ilia S. Nikitin. "Determination of critical plane and assessment of fatigue durability for multiaxial cyclic loading and arbitrary shift of phases." MATEC Web of Conferences 300 (2019): 16006. http://dx.doi.org/10.1051/matecconf/201930016006.

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An analytical solution for the well-known fatigue criterion proposed by Papadopoulos was obtained. An arbitrary shift of phases was taken into account. Comparison between analytical, numerical solutions with experimental data was made. Computation results based on FEM were compared with assessments by the mentioned above criterion.

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Huynh, Nam N., Cheng Lu, Liang Ying Si, and Kiet Tieu. "An Orientation-Dependent Failure Criterion for FCC Crystals." Key Engineering Materials 385-387 (July 2008): 801–4. http://dx.doi.org/10.4028/www.scientific.net/kem.385-387.801.

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The crystalline orientation significantly affects the fracture behavior of crystals. However, the orientation-dependent failure criterion is still lacking up to now. In this paper the failure criteria for different crystalline planes of aluminum have been developed. The critical normal stresses to separate two parallel crystallographic planes have been calculated based on Morse potential. The critical stresses on four different planes ({100}, {111}, {110} and {120}) were obtained. It has been found that plane {120} had the minimum critical normal stress. The developed failure criteria have bee

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Hao, Meng-Fei, Shun-Peng Zhu, and Ding Liao. "New strain energy-based critical plane approach for multiaxial fatigue life prediction." Journal of Strain Analysis for Engineering Design 54, no. 5-6 (2019): 310–19. http://dx.doi.org/10.1177/0309324719873251.

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Based on critical plane approach, this article develops a new damage parameter through combing the equivalent strain energy aspect for multiaxial fatigue analysis, which includes no additional fitted parameters and overcomes the deficiency of using only equivalent stress/strain criterion separately under multiaxial loadings. Then, experimental data of GH4169, TC4, Al 7050-T7451 alloys under different loading conditions are applied for model validation and comparison with other four models. Results indicate that the proposed damage parameter yields better multiaxial fatigue life predictions tha

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