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Journal articles on the topic 'Failure Criterion'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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1

ONeil, D. A., J. H. Selverian, and K. S. Kim. "Plasticity Considerations in Probabilistic Ceramic-to-Metal Joint Design." Journal of Engineering for Gas Turbines and Power 118, no. 1 (January 1, 1996): 159–66. http://dx.doi.org/10.1115/1.2816532.

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A new probabilistic failure criterion was developed for the design of high-temperature ceramic-to-metal joints. The essential feature of the theory is the inclusion of the energy dissipated during plastic deformation of the adjacent braze layer in the joint. A large number of bimaterial interface fracture simulations were performed for different crack positions and orientations near the bimaterial interface to determine the effect on stresses in the ceramic near the interface. The effective stress values were then ported to a probabilistic failure analysis code, which permitted simple inclusion of the new failure criterion. Brazed joints were made and failure tested in torsion to verify the failure criterion. Results show that the new failure critertion more closely approximates the failure of the ceramic-to-metal joints over the entire range of ultimate loads, and is a significant improvement in the failures criteria previously used for this type of joint design. Aspects of the failure criterion, material systems, residual stresses, mechanical behavior, and strength predictions will be presented.

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2

Wang, Zhi Qiang, and Wen Biao Liu. "Reasonable Strength Criterion Research of High Arch Dam Based on Brittle Failure Constitutive Relation." Applied Mechanics and Materials 578-579 (July 2014): 964–67. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.964.

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The brittle failure finite element method is widely used in arch dam safety evaluation, but it also has some problems, the concrete strength criterion is different, the dam failure range is different. This article first introduces brittle failure constitutive relation and three strength criterions, then takes a high arch dam as an example to compute, obtains some conclusions that the relative failure range of foundation plane corresponds to blaxial strength criterion is slightly bigger than the result of uniaxial strength criterion, is almost the same as the result of triaxial strength criterion. Because the influence of the third principal stress is compressed stress to the dam crack is taken into account under multiaxial strength criterion, therefore using multiaxial strength criterion is more reasonable.

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3

Ba, Panfeng, Yigang Zhang, Jinzhi Wu, and Zhihao Zhang. "The Failure Criterion of Single-Layer Spherical Lattice Shell Based on Kinetic Energy." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/485710.

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The dynamic failure criterion of single-layer spherical lattice shells has been an important research subject. The paper examines dynamic failures of single-layer spherical lattice shells and proposes the structure dynamic failure criterion based on the kinetic energy. The failure criterion was demonstrated through the dynamic failure test on a single-layer spherical lattice shell. Then, simulation analysis was carried out through two cases with material damage taken into account. The proposed failure criterion can accurately identify failure moments caused either by strength fracture or by stability fracture.

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4

Labuz, Joseph F., and Arno Zang. "Mohr–Coulomb Failure Criterion." Rock Mechanics and Rock Engineering 45, no. 6 (July 3, 2012): 975–79. http://dx.doi.org/10.1007/s00603-012-0281-7.

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5

Wang, Man, Rui Xiang Bai, and Yan An Shen. "Numerical Analysis of Composite Wind Turbine Blade Considering Failure Behavior." Applied Mechanics and Materials 166-169 (May 2012): 375–78. http://dx.doi.org/10.4028/www.scientific.net/amm.166-169.375.

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The paper studies the failure of the 3-D complicated configuration composite turbine blade by applying failure criterion. This failure criterion considers three kinds of different failures. They are matrix tensile/compressive failure, fiber- matrix shear failure and fiber failure. By Using FEA software ABAQUS, the stiffness degradation and failure behavior of the turbine blade of composite structure were studied. The failure and stiffness degradation of the two analysis models were conducted by typical numerical examples as well.

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6

FUJII, Yoshiaki, Tamotsu KIYAMA, and Yoji ISHIJIMA. "New Failure Criterion for Rock." Shigen-to-Sozai 109, no. 7 (1993): 549–50. http://dx.doi.org/10.2473/shigentosozai.109.549.

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7

Mostafa, M. E. "Technical Note:General rock failure criterion." Mining Technology 112, no. 1 (April 2003): 64–68. http://dx.doi.org/10.1179/037178403225011105.

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8

Chen, Y., M. Q. Jiang, Y. J. Wei, and L. H. Dai. "Failure criterion for metallic glasses." Philosophical Magazine 91, no. 36 (December 21, 2011): 4536–54. http://dx.doi.org/10.1080/14786435.2011.613859.

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9

Li, Q. M. "Strain energy density failure criterion." International Journal of Solids and Structures 38, no. 38-39 (September 2001): 6997–7013. http://dx.doi.org/10.1016/s0020-7683(01)00005-1.

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10

Eberhardt, Erik. "The Hoek–Brown Failure Criterion." Rock Mechanics and Rock Engineering 45, no. 6 (July 3, 2012): 981–88. http://dx.doi.org/10.1007/s00603-012-0276-4.

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11

Salajegheh, Sina, Kourosh Shahriar, Hossein Jalalifar, and Kaveh Ahangari. "NUMERICAL AND EXPERIMENTAL RESEARCH OF ROCK FAILURE MECHANISM AND ITS DEPENDENCE ON mi HOEK-BROWN FAILURE CRITERION." Rudarsko-geološko-naftni zbornik 36, no. 3 (2021): 157–65. http://dx.doi.org/10.17794/rgn.2021.3.11.

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Rock failure mechanism is one of the most important issues in rock mechanics engineering which plays a key role in the stability analysis of various structures. Therefore, different failure criteria have been proposed to understand the failure mechanism of rocks. One of the most commonly used rock failure criteria is the Hoek-Brown criterion, in which there is a parameter called mi, which is very important to the response provided by this criterion. Due to the importance of conducting extensive studies on this parameter, in this current research, by performing a series of experimental triaxial compressive strength test and numerical simulating in PFC-2D code, the effect of the Hoek-Brown constant mi on the failure mechanism and crack growth of different rocks has been studied. Based on the results of this study, it was found that the effect of parameter mi on the failure mechanism of different rocks varied according to the type of rocks, and the greatest effect of this parameter was on the peak strength of rocks. In addition, it was found that under higher lateral pressures, there are less destructive cracks in rocks, and as a result, they show more ductile behaviour.

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12

Kouhili, Youssef, Lamiae Vernieres-Hassimi, and Lionel Estel. "Faults detection using thermal runaway criteria on different reaction kinetics." MATEC Web of Conferences 379 (2023): 01009. http://dx.doi.org/10.1051/matecconf/202337901009.

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During the operation of chemical reactors, a failure in the cooling system can lead the reactor to operate under the risk of thermal runaway. The present work proposes a study of failure detection, using the divergence criterion and the Thomas and Bowes criterion. In order to evaluate the detection performance, two exothermic reactions with different kinetics were chosen, and the results show that Thomas and Bowes criterion detects earlier the failures than the divergence criterion. However, Thomas and Bowes may present false alarm about the risk of thermal runaway.

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13

Li, Shuguang. "The Maximum Stress Failure Criterion and the Maximum Strain Failure Criterion: Their Unification and Rationalization." Journal of Composites Science 4, no. 4 (October 22, 2020): 157. http://dx.doi.org/10.3390/jcs4040157.

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The maximum strain failure criterion is unified with the maximum stress failure criterion, after exploring the implications of two considerations responsible for this: (1) the failure strains for the direct strain components employed in the maximum strain criterion are all defined under uniaxial stress states, not uniaxial strain states, and (2) the contributions to the strain in a direction as a result of the Poisson effect do not contribute to the failure of the material in that direction. Incorporating these considerations into the maximum strain criterion, the maximum stress criterion is reproduced. For 3D stress/strain state applications primarily, the unified maximum stress/strain criterion is then subjected to further rationalization in the context of transversely isotropic materials by eliminating the treatments that undermine the objectivity of the failure criterion. The criterion is then applied based on the maximum and minimum direct stresses, the maximum transverse shear stress and the maximum longitudinal shear stress as the invariants of the stress state, instead of the conventional stress components directly.

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14

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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15

Liolios, Pantelis, and George Exadaktylos. "Comparison of a hyperbolic failure criterion with established failure criteria for cohesive-frictional materials." International Journal of Rock Mechanics and Mining Sciences 63 (October 2013): 12–26. http://dx.doi.org/10.1016/j.ijrmms.2013.06.005.

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16

Fan, Jun Qi, Jun Xia Yang, Fu Li Kong, and Kui Huang. "A Theoretical Model on Blast Lung Injury from an Explosion." Advanced Materials Research 850-851 (December 2013): 1220–24. http://dx.doi.org/10.4028/www.scientific.net/amr.850-851.1220.

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About the prediction of the biological damage effects on the lung of human under explosion wave, there are three different criterions, including excessive pressure-impulse criterion, kinematic velocity criterion and specific energy criterion. In the paper, based on the established three criterions and the practical anatomical structure of lung , a new theoretical model on blast lung injury from an explosion is developed. In the present model, the problem of blast lung injury is simplified as the one-dimensional propagation of stress wave in metal foam. Results show that the failure stress of the lung is 0.036~0.072 MPa, and the three criterions can convert to each other.

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17

Mahmud, Jamaluddin, A. Faris Ismail, and Juri Saedon. "OS09W0039 Finite element analysis of progressive failure for composite materials using a failure criterion with interaction terms." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS09W0039. http://dx.doi.org/10.1299/jsmeatem.2003.2._os09w0039.

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18

Priest, Stephen. "Three-Dimensional Failure Criteria Based on the Hoek–Brown Criterion." Rock Mechanics and Rock Engineering 45, no. 6 (July 18, 2012): 989–93. http://dx.doi.org/10.1007/s00603-012-0277-3.

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19

Zheng, Yan. "Study on Relation Between D-P and C-M Failure Criterion and Rock Fracture Toughness." Applied Mechanics and Materials 105-107 (September 2011): 1385–90. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.1385.

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First describe the selecting rule of the C-M and D-P failure criterion and the rule and the relations of the D-P criterion parameter with the rock mass fracture toughness; then through overlapped stresses in the end region of crackle, the total stresses about end region of tensile and sheared crackle can be obtained. The results are introduced into D-P failure criterion and C-M failure criterion, the relation between criterion D-P failure criterion, and rock fracture toughness KⅠc,KⅡc. can be derived. Compared with the results of experiments, which proved the validity of the derivation.Through overlapped stresses in the end region of crackle, the total stresses about end region of tensile and sheared crackle can be obtained. The results are introduced into D-P failure criterion and C-M failure, the relation between criterion D-P failure criterion, and rock fracture toughness KⅠc, KⅡc. can be derived. Compared with the results of experiments, which proved the validity of the derivation.

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20

Rotem, A. "PREDICTION OF LAMINATE FAILURE WITH THE ROTEM FAILURE CRITERION." Composites Science and Technology 58, no. 7 (July 1998): 1083–94. http://dx.doi.org/10.1016/s0266-3538(96)00143-1.

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21

Salajegheh, Sina, Kourosh Shahriar, Hossein Jalalifar, and Kaveh Ahangari. "VARIATION OF THE INTRINSIC ROCK PROPERTIES ON HOEK-BROWN FAILURE CRITERION PARAMETERS." Rudarsko-geološko-naftni zbornik 36, no. 4 (2021): 73–84. http://dx.doi.org/10.17794/rgn.2021.4.7.

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The Hoek-Brown (H-B) criterion is one of the most commonly used rock failure criteria in recent years. This criterion includes a constant parameter called mi which is a fundamental parameter for estimating rock strength. Due to the importance of the mi parameter in the H-B criterion, it is necessary to conduct comprehensive studies on various aspects of the effect of this parameter on the behavior of rocks. Therefore, in this study, using numerical simulation of the Triaxial Compressive Strength (TCS) tests in PFC-2D code, the effects of microscopic properties of different rocks on the H-B parameter mi have been studied. Based on the results of this study, it was found that the effects of micro-parameters on the H-B parameter mi can be different depending on the type of rock, however this parameter has an inverse relationship to the micro-parameters of bond tensile strength and bond fraction of the rocks. Also, the mi parameter increases with an increase in the micro-parameters of the friction coefficient, the friction angle, the particle contact modulus, and the contact stiffness ratio of rocks.

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22

Tian, Dongshuai, and Hong Zheng. "The Generalized Mohr-Coulomb Failure Criterion." Applied Sciences 13, no. 9 (April 26, 2023): 5405. http://dx.doi.org/10.3390/app13095405.

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With the construction of supertall buildings such as high earth dams, the linear envelope of the Mohr-Coulomb (M-C) failure criterion fitted to lower confined pressure would significantly underestimate the loading capacity of foundations, causing a huge increase in the amount of earthwork. Given that the M-C criterion has dominated in the stability analysis of geotechnical structures, it is proposed in this study that the M-C criterion remain invariant in form but the cohesion c and the frictional factor f be related to the coefficient of intermediate principal stress b, called the Generalized Mohr-Coulomb (GMC) criterion. In other words, c and f are both functions of b, written as c(b) and f(b). In the simplest way, the GMC criterion for soils, a true three-dimensional failure criterion, can be established by using a piece of conventional triaxial apparatus. The GMC has a non-smooth strength surface like its conventional version. However, we prove from true triaxial tests and the characteristic theory of stress tensors that the failure surfaces in the stress space should be non-smooth per se for b = 0 or 1. Comparisons with other prominent failure criteria indicate that the GMC fits the test data best.

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23

Jain, Neraj, and Dietmar Koch. "Prediction of Failure in Ceramic Matrix Composites Using Damage-Based Failure Criterion." Journal of Composites Science 4, no. 4 (December 7, 2020): 183. http://dx.doi.org/10.3390/jcs4040183.

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This paper presents a damage-based failure criterion and its implementation in order to predict failure in ceramic matrix composites (CMC) manufactured via filament winding. The material behavior of CMCs is anisotropic and strongly depends on the angle between fiber orientation and loading direction. The inelastic behavior of laminates with different fiber orientations under tension and shear is modeled with the help of continuum damage mechanics. The parameters required for the damage model are obtained from a standard tensile and shear test. An isotropic damage law determines the evolution of damage in thermodynamic space and considers the interaction of damage parameters in different principal material directions. A quadratic damage-based failure criterion inspired by the Tsai-Wu failure criterion is proposed. Failure stress and strain can be predicted with higher accuracy compared to the Tsai-Wu failure criterion in stress- or strain-space. The use of the proposed damage limits allows designing a CMC component based on the microstructural phenomenon of stiffness loss. With the help of results obtained from modeling and experiments, fracture mechanics during the Iosipescu-shear test of CMCs and its capability to determine the shear strength of the material is discussed.

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24

Eyre, John R., and Hussam S. Nasreddin. "Tension strain failure criterion for concrete." Magazine of Concrete Research 65, no. 21 (November 2013): 1303–14. http://dx.doi.org/10.1680/macr.13.00171.

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25

Bliokh, Yu P., J. Felsteiner, Ya Z. Slutsker, and P. M. Vaisberg. "Bohm criterion failure in nonstationary plasmas." Physics of Plasmas 9, no. 8 (August 2002): 3311–17. http://dx.doi.org/10.1063/1.1488143.

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26

Sebaaly, Peter E., and Michael S. Mamlouk. "Development of Dynamic Fatigue Failure Criterion." Journal of Transportation Engineering 114, no. 4 (July 1988): 450–64. http://dx.doi.org/10.1061/(asce)0733-947x(1988)114:4(450).

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27

Zuev, L. B., V. V. Murav’ev, and Yu S. Danilova. "Criterion for fatigue failure in steels." Technical Physics Letters 25, no. 5 (May 1999): 352–53. http://dx.doi.org/10.1134/1.1262478.

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28

Podgórski, Jerzy. "General Failure Criterion for Isotropic Media." Journal of Engineering Mechanics 111, no. 2 (January 1985): 188–201. http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:2(188).

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29

Kreuzer, Harald, and Karl V. Bury. "Reliability Analysis of Mohr Failure Criterion." Journal of Engineering Mechanics 115, no. 3 (March 1989): 447–64. http://dx.doi.org/10.1061/(asce)0733-9399(1989)115:3(447).

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30

Li, Long‐Yuan, and Thomas G. Harmon. "Three‐Parameter Failure Criterion for Concrete." Journal of Materials in Civil Engineering 2, no. 4 (November 1990): 215–22. http://dx.doi.org/10.1061/(asce)0899-1561(1990)2:4(215).

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31

Philpot, Timothy A., Kenneth J. Fridley, and David V. Rosowsky. "Energy‐Based Failure Criterion for Wood." Journal of Materials in Civil Engineering 6, no. 4 (November 1994): 578–94. http://dx.doi.org/10.1061/(asce)0899-1561(1994)6:4(578).

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32

Masoumi, Hossein, Hamid Roshan, and Paul C. Hagan. "Size-Dependent Hoek-Brown Failure Criterion." International Journal of Geomechanics 17, no. 2 (February 2017): 04016048. http://dx.doi.org/10.1061/(asce)gm.1943-5622.0000706.

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33

Feng, William W. "A Failure Criterion for Composite Materials." Journal of Composite Materials 25, no. 1 (January 1991): 88–100. http://dx.doi.org/10.1177/002199839102500104.

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34

Troshchenko, V. T., and P. A. Fomichev. "An energy criterion for fatigue failure." Strength of Materials 25, no. 1 (January 1993): 1–7. http://dx.doi.org/10.1007/bf00767729.

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35

Xila, Liu, Wang Qing-Yun, and W. F. Chen. "Layered analysis with generalized failure criterion." Computers & Structures 33, no. 4 (January 1989): 1117–23. http://dx.doi.org/10.1016/0045-7949(89)90448-3.

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36

Yeh, Hsien-Yang, and A. Feng. "Stress Failure Criterion for Laminated Composites." Journal of Reinforced Plastics and Composites 15, no. 6 (June 1996): 563–74. http://dx.doi.org/10.1177/073168449601500602.

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37

Aptukov, V. N. "Deformation criterion of salt rock failure." Journal of Mining Science 52, no. 3 (May 2016): 448–53. http://dx.doi.org/10.1134/s1062739116030645.

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38

Farid, H., A. Saeidi, M. Farzaneh, and F. Erchiqui. "An atmospheric ice empirical failure criterion." Cold Regions Science and Technology 146 (February 2018): 81–86. http://dx.doi.org/10.1016/j.coldregions.2017.11.013.

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39

Lade, Poul V. "Failure Criterion for Cross-Anisotropic Soils." Journal of Geotechnical and Geoenvironmental Engineering 134, no. 1 (January 2008): 117–24. http://dx.doi.org/10.1061/(asce)1090-0241(2008)134:1(117).

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40

Makarenko, V. D., and I. O. Makarenko. "A Tube Steel Brittle Failure Criterion." Chemical and Petroleum Engineering 40, no. 7/8 (July 2004): 429–32. http://dx.doi.org/10.1023/b:cape.0000047661.31194.88.

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41

Gao, Yaohui, Chunsheng Zhang, Zhaofeng Wang, and Jun Chen. "A Simple Three-Dimensional Failure Criterion for Jointed Rock Masses under True Triaxial Compression." Advances in Civil Engineering 2021 (May 26, 2021): 1–9. http://dx.doi.org/10.1155/2021/9939144.

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The joint configuration and the intermediate principal stress have a significant influence on the strength of rock masses in underground engineering. A simple three-dimensional failure criterion is developed in this study to predict the true triaxial strength of jointed rock masses. The proposed failure criterion in the deviatoric and meridian planes adopts the elliptic and hyperbolic forms to approximate the Willam–Warnke and Mohr–Coulomb failure criterion, respectively. The four parameters in the proposed failure criterion have close relationships with the cohesion and the internal friction angle and can be linked with the joint inclination angle using a cosine function. Two suits of true triaxial strength data are collected to validate the correctness of the proposed failure criterion. Compared with other failure criteria, the proposed failure criterion is more reasonable and acceptable to describe the strength of jointed rock masses.

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42

Theocaris, P. S. "Positive and Negative Failure-Shears in Orthotropic Materials." Journal of Reinforced Plastics and Composites 11, no. 1 (January 1992): 32–55. http://dx.doi.org/10.1177/073168449201100103.

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Failure predictions of off-axis loaded fiber composite laminae are given according to the elliptic paraboloid failure criterion for anisotropic solids [1]. The failure condition assumes that for any anisotropic solid a safe triaxial loading path exists, along the hydrostatic compression, and thus the failure surface must be open-ended. By appropriately formulating the failure criterion, it is shown that the geometric interpretation of the failure surface in the principal stress space is an elliptic paraboloid (EPFS) whose axis of symmetry is parallel to the hydrostatic axis in the principal stress space. Because of the shape and position of the EPFS, the intersections by principal stress planes corresponding to loadings of off-axis laminae of a fiber composite are represented by ellipses whose origins are displaced from the origin of the stress reference frame. This fact creates unequal shear yield stresses in the positive and negative sense clearly manifested in a pure shear failure loading. The predictions of the above criterion for plane stress failure loadings of laminae, and especially for pure shear induced failures, are compared with existing experimental data for various fiber composites and are shown to be in satisfactory agreement.

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43

Lu, Aizhong, Ning Zhang, and Guisen Zeng. "An Extension Failure Criterion for Brittle Rock." Advances in Civil Engineering 2020 (October 27, 2020): 1–12. http://dx.doi.org/10.1155/2020/8891248.

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Under the triaxial compressive state, the compressive strain is supposed to happen in the direction of the maximum principal stress, but tensile strain happens in the direction of the minimum principal stress. Moreover, as the intermediate principal stress is not too high, the corresponding strain can also be tensile. If the brittle rock is assumed as linear elastic in the prefailure stage, a new strength criterion based on the sum of the two tensile strains was presented. The new criterion considers the differences in mechanical parameters (i.e., elastic modulus and Poisson’s ratio) under tension and compression. The parameters of the criterion only include Poisson’s ratio and uniaxial strength. And the effect of the intermediate principal stress σ 2 can be reflected. Certain featured failure phenomenon of rock material can be explained well by the proposed criterion. The results of conventional and true triaxial tests can verify the criterion well. Finally, the criterion is compared with the Mohr–Coulomb and Drucker–Prager criteria.

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44

Li, Xue Feng, and Liang Kong. "Failure Behavior for Cross-Anisotropic Sand." Applied Mechanics and Materials 405-408 (September 2013): 331–35. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.331.

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In order to describe the failure behavior of anisotropy sand, a failure criterion with the method of macro-micro incorporation is employ. A fabric tensor employed in the method describes the material microstructure and a novel anisotropy state variable is properly defined in the term of the two joint invariant of loading direction tensor and fabric tensor, then a failure criterion of anisotropic soil is proposed with the novel anisotropy state. The failure criterion is compared with experimental results from the literature to show that it is able to capture the conditions obtained in three-dimensional experiments without and with stress rotations. The limitations of the criterion are demonstrated by its failure to capture the behavior of some sand with particular micro-structures.

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45

Sakash, Aaron, Sumit Moondra, and Brad L. Kinsey. "Effect of Yield Criterion on Numerical Simulation Results Using a Stress-Based Failure Criterion." Journal of Engineering Materials and Technology 128, no. 3 (March 19, 2006): 436–44. http://dx.doi.org/10.1115/1.2204951.

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Determining tearing concerns in numerical simulations of sheet metal components is difficult since the traditional failure criterion, which is strain-based, exhibits a strain path dependence. A stress-based, as opposed to a strain-based, failure criterion has been proposed and demonstrated analytically, experimentally in tube forming, and through numerical simulations. The next step in this progression to the acceptance of a stress-based forming limit diagram is to demonstrate how this failure criterion can be used to predict failure of sheet metal parts in numerical simulations. In this paper, numerical simulation results for dome height specimens are presented and compared to experimental data. This procedure was repeated for various yield criteria to examine the effect of this parameter on the ability to predict failure in the numerical simulations. Reasonable agreement was obtained comparing the failure predicted from numerical simulations and those found experimentally, in particular for the yield criterion which has been shown to best characterize the material used in this study.

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46

Ding, Hong Yan, Chao He, and Pu Yang Zhang. "Study on Failure Criterion and Yield Criterion of Early-Age C20." Applied Mechanics and Materials 226-228 (November 2012): 1730–34. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.1730.

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The early-age concrete properties are the basis for structure nonlinear analyzed under construction structure period. But at present the study on early-age concrete is lagging behind which there is not suitabel theory. This paper takes early-age C20 concrete as an example to analysis the early-age concrete properties. According to the distribution characteristics of early-age C20 concrete experiment data in the octahedral stress space, using section function expression form, by the method of mathematical derivation and linear fitting, the failure criterion and the elastic yield criterion of early-age C20 concrete materials in the octahedral stress space are established. By comparison between failure criterion and elastic yield criterion of C20 concrete, the subsequent yield criterion could be derived based on the non-uniform isotropic strengthening criterion.

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47

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 (June 29, 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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Carvalho, Hermes, Ridwan Ridwan, Sudarno Sudarno, Aditya Rio Prabowo, Dong Myung Bae, and Nurul Huda. "Failure criteria in crashworthiness analysis of ship collision and grounding using FEA: Milestone and development." Mekanika: Majalah Ilmiah Mekanika 22, no. 1 (March 31, 2023): 30. http://dx.doi.org/10.20961/mekanika.v22i1.70959.

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This study presents reviews of the failure criteria to capture the resulting response due to the catastrophe of ship collision and grounding using the finite element. Researchers have introduced several failure criteria, for instance, the DNV RP-C204 criterion, Germanischer Lloyd criterion, Peschmann, RiceTracey and Cockcroft-Latham (RTCL), Bressan-Williams-Hill (BWH) instability criterion, and Liu criterion. As in the mathematical formula, each criterion has a difference. The choice of failure criteria will depend on the simulation's specific requirements and the analysis's goals. Liu's criterion can be used to evaluate the failure of materials in ship collision simulations, for example, when large element sizes (i.e., 20 mm) are considered in the simulation.

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Xu, Ping, Zhijun Sun, Shengjun Shao, and Lingyun Fang. "Comparative Analysis of Common Strength Criteria of Soil Materials." Materials 14, no. 15 (July 31, 2021): 4302. http://dx.doi.org/10.3390/ma14154302.

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In this paper, the common failure criteria of existing soil materials, such as the Mohr–Coulomb criterion, Drucker–Prager criterion, Lade–Duncan criterion, Matsuoka–Nakai criterion andAC-SMP criterion are systematically discussed, and the applicability of these criteria is quantitatively analyzed through the true triaxial test results of loess, so as to provide reference for the accurate selection of specific criteria in engineering practice. The failure criteria are classified from several aspects, such as whether the influence of the intermediate principal stress and the change of spatial moving plane are considered, analyzed and discussed, respectively. According to the true triaxial test results of undisturbed loess, the difference of strength criterion between the three-dimensional failure plane and p-q plane is analyzed, and based on the true triaxial test data of undisturbed loess, the error analysis of each failure criterion is carried out. The results show that the AC-SMP criterion is in good agreement with the test results, and can accurately evaluate the true triaxial test of loess. For different soil materials or different stress states, it is necessary to select appropriate failure criteria. This study shows how to choose the corresponding failure criterion under specific circumstances, so as to better satisfy the theory and practice and provide reference for engineering.

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Wang, Zhi-Ming, and Xia Yu. "Log-linear process modeling for repairable systems with time trends and its applications in reliability assessment of numerically controlled machine tools." Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 227, no. 1 (September 25, 2012): 55–65. http://dx.doi.org/10.1177/1748006x12460633.

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Two non-homogeneous Poisson processes including the power law process and the log-linear process with reliability improvement or deterioration are analyzed. Based on Akaike information criterion and Bayesian information criterion, the best model of failure data is presented. The point maximum likelihood and interval estimators of the parameters, as well as seven reliability indices of the log-linear process model, such as cumulative mean time between failures, cumulative number of failures, reliability at a given time, and warranty time given reliability are given. In tests for failure time trends, both the graphical methods, including the cumulative failures versus time plot and the total-time-on-test plot, and the analytical methods including the Laplace, the Military Handbook, and the Lewis–Robinson tests are used. Three real cases for failure data with failure truncation and time truncation of multiple numerically controlled machine tools are given to illustrate the use of the proposed models.

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