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1

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 criteri
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2

Yu, M. H., W. Fan, A. L. Che, M. Yoshimine, and Takahiro Iwatate. "Application of the Unified Strength Theory in Analyzing Fracture Strength." Key Engineering Materials 261-263 (April 2004): 111–16. http://dx.doi.org/10.4028/www.scientific.net/kem.261-263.111.

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In practical engineering, the cracks are always mixed mode. The research on the mixed fracture criterion has an important significance in fracture mechanics and engineering. Stress state of the mixed mode cracks is complicated. A new unified strength theory considering the effects of all the three principal stresses is generalized into the fracture mechanics in this paper. The complex stress states are common characteristics between the mixed mode cracks and the unified strength theory. A unified fracture function criterion is established by using the unified strength theory in this paper. In
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3

Shao, Shuai, Shengjun Shao, Yu Zhang, and Changlu Chen. "Novel Soil Strength Criterion Compared with Conventional Criteria." Geomaterials 07, no. 01 (2017): 25–39. http://dx.doi.org/10.4236/gm.2017.71003.

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4

Szwed, Aleksander, and Inez Kaminska. "Smoothed Podgórski Strength Criterion." IOP Conference Series: Materials Science and Engineering 661 (November 20, 2019): 012001. http://dx.doi.org/10.1088/1757-899x/661/1/012001.

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5

Li, Chunguang, Cuihua Li, Rong Zhao, and Lei Zhou. "A strength criterion for rocks." Mechanics of Materials 154 (March 2021): 103721. http://dx.doi.org/10.1016/j.mechmat.2020.103721.

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6

Kafka, V., and D. Vokoun. "Nanowires: diameter-dependent strength criterion." IOP Conference Series: Materials Science and Engineering 504 (April 26, 2019): 012110. http://dx.doi.org/10.1088/1757-899x/504/1/012110.

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7

Liu, M. D., and J. P. Carter. "General Strength Criterion for Geomaterials." International Journal of Geomechanics 3, no. 2 (2003): 253–59. http://dx.doi.org/10.1061/(asce)1532-3641(2003)3:2(253).

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8

Stolarski, Adam. "Dynamic Strength Criterion for Concrete." Journal of Engineering Mechanics 130, no. 12 (2004): 1428–35. http://dx.doi.org/10.1061/(asce)0733-9399(2004)130:12(1428).

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9

Suknev, S. V. "A Criterion of Local Strength." Strength of Materials 36, no. 4 (2004): 413–25. http://dx.doi.org/10.1023/b:stom.0000041543.77999.83.

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10

Kalinnikov, A. E., M. G. Kurguzkin, and A. V. Shushkov. "Structurally heterogeneous material strength criterion." Strength of Materials 25, no. 7 (1993): 512–17. http://dx.doi.org/10.1007/bf00775129.

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11

Liu, Martin D., and Buddhima Indraratna. "Strength Criterion for Intact Rock." Indian Geotechnical Journal 47, no. 3 (2016): 261–64. http://dx.doi.org/10.1007/s40098-016-0212-8.

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12

Li, Xue Wei, Xin Yuan, and Xiao Wei Li. "Analysis of Slope Instability Based on Strength Reduction Method." Applied Mechanics and Materials 170-173 (May 2012): 1238–42. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.1238.

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Abstract. Combined the strength reduction method with ABAQUS, the development of the slope plastic strain of different reduction coefficient is obtained by constantly adjusting reduction coefficient to change the strength index of the soil. The reduction coefficient is obtained from the criterion of numerical convergence and displacement mutation and plastic zone breakthrough. Through the analysis and comparison with the results, the reduction coefficient by the criterion of displacement mutation is consistent with the result of the criterion of plastic zone breakthrough. The reduction coeffic
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13

Zheng, Yonglai, and Shuxin Deng. "Failure Probability Model considering the Effect of Intermediate Principal Stress on Rock Strength." Mathematical Problems in Engineering 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/960973.

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A failure probability model is developed to describe the effect of the intermediate principal stress on rock strength. Each shear plane in rock samples is considered as a micro-unit. The strengths of these micro-units are assumed to match Weibull distribution. The macro strength of rock sample is a synthetic consideration of all directions’ probabilities. New model reproduces the typical phenomenon of intermediate principal stress effect that occurs in some true triaxial experiments. Based on the new model, a strength criterion is proposed and it can be regarded as a modified Mohr-Coulomb crit
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14

Shah, Sandip, and Evert Hoek. "Simplex reflection analysis of laboratory strength data." Canadian Geotechnical Journal 29, no. 2 (1992): 278–87. http://dx.doi.org/10.1139/t92-031.

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Linear regression and simplex reflection techniques for fitting laboratory strength data for rocks and soils to linear and nonlinear failure envelopes are presented. The simplex reflection technique is applied to the Hoek-Brown nonlinear failure criterion which is widely used for estimating the strength of jointed rock masses. A comparison between the simplex reflection technique and linear regression analysis, for assessing the parameters associated with the Hoek-Brown criterion, is discussed. The strengths and limitations of the two techniques are compared, and it is established that the sim
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15

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

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Generally, many high-strength alloy materials used in aerospace, power and chemical industries have strength differential effect in tension and compression (SD effects). Usually, in mechanical calculations of sheet metal forming, Treasca yield criterion and Mises yield criterion are applied. Because the yield criterions don’t take SD effects into consideration, the calculation result may have errors for certain materials. However, generalized twin shear stress yield criterion, which takes into account the influence of the intermediate principal stress, is more suitable for most metal materials
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16

Liu, X., E. Liu, B. Song, and P. Wang. "New twin-shear unified strength criterion." Géotechnique Letters 10, no. 2 (2020): 231–41. http://dx.doi.org/10.1680/jgele.19.00018.

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17

Chen, Liping, Sui Wang, Bin Chen, Xiaokai Niu, Guogang Ying, and Bo Wu. "Formulation of Anisotropic Strength Criterion for Geotechnical Materials." Advances in Civil Engineering 2020 (September 7, 2020): 1–10. http://dx.doi.org/10.1155/2020/8825816.

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A new nonlinear unified strength (NUS) criterion is obtained based on the spatially mobilized plane (SMP) criterion and Mises criterion. New criterion is a series of smooth curves between SMP curved triangle and Mises circle in the π plane and thereby unifies the strength criteria. The new criterion can reflect the effect of the intermediate principal stress and consider the strength nonlinearity of a material. Based on the fabric tensor, the anisotropic parameter A is defined, and the anisotropic equation is proposed and introduced into the NUS criterion to form a nonlinear unified anisotropi
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18

Rukhaiyar, Saurav, Gaurav Sajwan, and Narendra Kumar Samadhiya. "Strength behavior of plain cement concrete subjected to true triaxial compression." Canadian Journal of Civil Engineering 45, no. 3 (2018): 179–96. http://dx.doi.org/10.1139/cjce-2017-0114.

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True triaxial compression test was conducted on 100 mm × 100 mm × 100 mm cubical sample of plain cement concrete using the true triaxial testing machine. A total of 30 tests were conducted on two concrete mixes having characteristic strengths of 24.39 MPa and 34.67 MPa. The minor and intermediate principal stresses were varied from 2.5 MPa to 10 MPa and 2.5 MPa to 30 MPa respectively. The samples were loaded until failure under the stress rate of 1 MPa/min. The failure mode and direction of fracture planes were observed carefully. It was observed that the ratio of intermediate and minor princi
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19

Zhang, Xianhe, Weiguo Li, Yong Deng, Jiaxing Shao, Xuyao Zhang, and Liming Chen. "Strength criterion and temperature dependent strength model of metallic glasses." International Journal of Solids and Structures 163 (May 2019): 242–51. http://dx.doi.org/10.1016/j.ijsolstr.2019.01.013.

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20

Bastun, V. N., M. I. Kolyakov, and Yu N. Semko. "Strength criterion for materials with different strengths in tension and compression." Strength of Materials 28, no. 5 (1996): 353–57. http://dx.doi.org/10.1007/bf02330852.

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21

Kawai, M. "Anisotropic size effect law for notched strength of unidirectional carbon/epoxy laminates – Part 1: Formulation." Journal of Composite Materials 51, no. 5 (2016): 593–602. http://dx.doi.org/10.1177/0021998316651481.

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A multiaxial quasi-brittle failure criterion for notched orthotropic composites is developed with an emphasis on establishment of an analytical formula to predict their anisotropic notched strength for any notch size under any multiaxial proportional loading. It is formulated by replacing the principal unnotched strengths with the principal notched strengths in the framework of the Tsai–Hill static failure criterion for orthotropic composites. The effects of notch size and specimen width on the principal notched strengths are described by means of the Suo-Ho-Gong model that can consider notch
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22

Hua, Yuan, Tai Quan Zhou, and Guo Liang Dai. "Finite Element Analysis of Dongjusi Railway Tunnel within Hard Rock Mass Based on the Unified Rock Mass Strength Criterion." Key Engineering Materials 353-358 (September 2007): 2994–97. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.2994.

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The twin shear strength criterion has been proposed to consider the intermediate principal stress effect on the rock mass strength. The unified rock mass strength criterion could consider the intermediate principal stress effect on the rock mass strength. The unified rock mass elasto-plastic material model is implemented in ABAQUS user interface. As a case for study, the stability analysis of Dongjusi railway tunnel within hard rock mass is studied using the unified rock mass strength material. For comparison, the Hoek-Brown empirical strength criterion is also chosen for the rock mass materia
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23

Ashour, Hamdy A. "A compressive strength criterion for anisotropic rock materials." Canadian Geotechnical Journal 25, no. 2 (1988): 233–37. http://dx.doi.org/10.1139/t88-027.

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This paper proposes a general compressive strength criterion for anisotropic rock materials under multiaxial states of stress. The proposed criterion is a generalization of the Von Mises' criterion for yielding of ductile metals, which has also been used previously as a strength criterion for brittle fracture in the spirit of both being limits of linear elastic behavior. The presently proposed criterion takes into consideration the effects of the confining pressure, the various stress components, and the material anisotropy on rock material failure in a multiaxial stress state. To verify the a
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24

Qiu, Wenge, Chao Kong, and Kai Liu. "Three-Dimensional Numerical Analysis of the Tunnel for Polyaxial State of Stress." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/301241.

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The aim of this study is to have a comprehensive understanding of the mechanical behavior of rock masses around excavation under different value of intermediate principal stress. Numerical simulation was performed to investigate the influence of intermediate principal stress using a new polyaxial strength criterion which takes polyaxial state of stress into account. In order to equivalently substitute polyaxial failure criterion with Mohr-Coulomb failure criterion, a mathematical relationship was established between these two failure criteria. The influence of intermediate principal stress had
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25

Xu, Ping, Zhijun Sun, Shengjun Shao, and Lingyun Fang. "Comparative Analysis of Common Strength Criteria of Soil Materials." Materials 14, no. 15 (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 mo
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26

Li, Chun Guang, Xiu Run Ge, Hong Zheng, and Shui Lin Wang. "Two-Parameter Parabolic Mohr Strength Criterion and Its Damage Regularity." Key Engineering Materials 306-308 (March 2006): 327–32. http://dx.doi.org/10.4028/www.scientific.net/kem.306-308.327.

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A series of formulas about two-parameter parabolic Mohr strength criterion(2-PP Mohr criterion) are derived. Based on the results of uniaxial tension and uniaxial compression tests, the parameters involved in the criterion can be easily determined, then the criterion in terms of the major principal stress and the minor principal stress is derived, and the damage pattern is also discussed. At last, the formulas about the rupture angle and the friction angle are presented, and their relationship is also given. 2-PP Mohr criterion can describe not only shear but also tensile failure. In this crit
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27

Singer, Murray. "Strength-based criterion shifts in recognition memory." Memory & Cognition 37, no. 7 (2009): 976–84. http://dx.doi.org/10.3758/mc.37.7.976.

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28

Liu, Enlong, Qing Nie, and Jianhai Zhang. "A new strength criterion for structured soils." Journal of Rock Mechanics and Geotechnical Engineering 5, no. 2 (2013): 156–61. http://dx.doi.org/10.1016/j.jrmge.2013.03.002.

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29

Yu, Mao-Hong, Yue-Wen Zan, Jian Zhao, and Mitsutoshi Yoshimine. "A Unified Strength criterion for rock material." International Journal of Rock Mechanics and Mining Sciences 39, no. 8 (2002): 975–89. http://dx.doi.org/10.1016/s1365-1609(02)00097-7.

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30

Huddleston, R. L. "An Improved Multiaxial Creep-Rupture Strength Criterion." Journal of Pressure Vessel Technology 107, no. 4 (1985): 421–29. http://dx.doi.org/10.1115/1.3264476.

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An improved strength model is developed for predicting creep rupture under multiaxial stress states. The new model incorporates three independent stress parameters and distinguishes between life under tensile versus compressive stress states. Assessments of the new model based on experimental biaxial creep-rupture data for type 304 stainless steel tested at 593°C show the new model to be significantly more accurate than the classical criteria of von Mises, Tresca, or Rankine.
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31

Tan, Ran, Junrui Chai, and Cheng Cao. "Empirical Shear Strength Criterion for Artificial Joint." IOP Conference Series: Earth and Environmental Science 283 (June 11, 2019): 012029. http://dx.doi.org/10.1088/1755-1315/283/1/012029.

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32

Petrov, Yu V. "Structural-time criterion of pulsed electric strength." Doklady Physics 59, no. 1 (2014): 56–58. http://dx.doi.org/10.1134/s1028335814010108.

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33

Rafiai, Hosein. "New empirical polyaxial criterion for rock strength." International Journal of Rock Mechanics and Mining Sciences 48, no. 6 (2011): 922–31. http://dx.doi.org/10.1016/j.ijrmms.2011.06.014.

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34

Fuenkajorn, Kittitep, and Jaak J. K. Daemen. "An empirical strength criterion for heterogeneous tuff." Engineering Geology 32, no. 4 (1992): 209–23. http://dx.doi.org/10.1016/0013-7952(92)90049-5.

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35

Cowin, Stephen C. "Fabric dependence of an anisotropic strength criterion." Mechanics of Materials 5, no. 3 (1986): 251–60. http://dx.doi.org/10.1016/0167-6636(86)90022-0.

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36

Babich, D. V. "A statistical strength criterion for brittle materials." Strength of Materials 43, no. 5 (2011): 573–82. http://dx.doi.org/10.1007/s11223-011-9330-9.

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37

Liu, Xingyan, Enlong Liu, De Zhang, Ge Zhang, and Bingtang Song. "Study on strength criterion for frozen soil." Cold Regions Science and Technology 161 (May 2019): 1–20. http://dx.doi.org/10.1016/j.coldregions.2019.02.009.

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38

Luo, Fei, Enlong Liu, and Zhanyuan Zhu. "A strength criterion for frozen moraine soils." Cold Regions Science and Technology 164 (August 2019): 102786. http://dx.doi.org/10.1016/j.coldregions.2019.102786.

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39

Arutyunyan, R. A. "Frequency dependence of the fatigue strength criterion." Strength of Materials 17, no. 12 (1985): 1717–20. http://dx.doi.org/10.1007/bf01523010.

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40

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

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Unified solutions to the elastoplastic limit load of thick-walled cylindrical and spherical vessels under internal pressure are obtained in terms of the unified strength theory (UST) and the unified slip-line field theory (USLFT). The UST and the USLFT include or approximate an existing strength criterion or slip-line field theory by adopting a parameter b, which varies from 0 to 1. The theories can be used on pressure-sensitive materials, which have the strength difference (SD) effect. The solutions, based on the Tresca criterion, the von Mises criterion, the Mohr–Coulomb criterion, and the t
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41

Yoshida, N., N. R. Morgenstern, and D. H. Chan. "A failure criterion for stiff soils and rocks exhibiting softening." Canadian Geotechnical Journal 27, no. 2 (1990): 195–202. http://dx.doi.org/10.1139/t90-023.

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A simple nonlinear failure criterion is proposed for geologic materials exhibiting time-dependent softening. It is expressed in terms of maximum and minimum principal stresses, uniaxial compression strength, and three strength parameters. These strength parameters can be easily determined from conventional strength tests such as the triaxial compression test. The application of the proposed failure criterion to experimental data taken from the literature shows that there is excellent agreement.The proposed failure criterion is used to describe the effect of softening observed in materials such
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42

Tang, Zhi Cheng, Zhi Fei Zhang, Chang Qun Zuo, and Yu-Yong Jiao. "Peak shear strength criterion for mismatched rock joints: Revisiting JRC-JMC criterion." International Journal of Rock Mechanics and Mining Sciences 147 (November 2021): 104894. http://dx.doi.org/10.1016/j.ijrmms.2021.104894.

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43

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

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The least absolute deviation is used as a metric to analyze the applicability of five yield criteria, to describe the yield characteristics of coal based on triaxial compressive strength tests on natural, water-saturated, and seepage coal samples with the presence of pore water. The results show that the strength of coal exhibits nonlinear characteristics with the increase of confining pressure, which the linear Coulomb criterion fails to authentically describe. Although the parabolic Mohr criterion can describe the nonlinearity feature more decently than the linear yield criterion, the fittin
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Ren, Li, Ting Ai, Zhe Ming Zhu, Ling Zhi Xie, and Ru Zhang. "Strength Reduction Technique for Non-Linear Failure Criterion." Advanced Materials Research 446-449 (January 2012): 1568–72. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.1568.

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In the analysis of slope stability, a reduction method of non-linear shear strength was applied. A power function was used to approximate the shear failure envelope which is determined by the non-linear criterion or experimental data, and then the coefficients of that function were determined by using the collocation points. The equivalent friction angles and cohesive strengths of rock as well as stress range were determined by fitting an average linear relationship to the approximate curve generated by the power function through the method of least square. Finally, an example was presented to
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45

Jiang, J. C., R. Baker, and T. Yamagami. "The effect of strength envelope nonlinearity on slope stability computations." Canadian Geotechnical Journal 40, no. 2 (2003): 308–25. http://dx.doi.org/10.1139/t02-111.

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Engineering analysis of slope stability includes three separate but interrelated phases: (a) experimental strength measurements, (b) determination of a strength envelope that best fits the experimental results, and (c) formal limiting equilibrium analysis using the resulting strength envelopes. Studying the interrelations between these phases leads to an integrated approach to slope stability analysis. The present work uses a single experimental database that is fitted with both linear (Mohr–Coulomb) and nonlinear failure envelopes and investigates the effect of different forms of the failure
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46

Afzal, Shazia, Muhammad Yousaf, Humaira Afzal, Nawaf Alharbe, and Muhammad Rafiq Mufti. "Cryptographic Strength Evaluation of Key Schedule Algorithms." Security and Communication Networks 2020 (May 14, 2020): 1–9. http://dx.doi.org/10.1155/2020/3189601.

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Key schedule algorithms play an important role in modern encryption algorithms, and their security is as crucial as the security of the encryption algorithms themselves. Many studies have been performed on the cryptographic strength evaluation of the encryption algorithms; however, strength evaluation of the key schedule algorithms often obtains less attention that can lead towards the possible loophole in the overall encryption process. In this paper, a criterion is proposed to evaluate the cryptographic strength of the key schedule algorithms. This criterion includes different methods of dat
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47

Han, Feng Shan. "Estimation of Strength of Massive Jointed Rock Mass Based on Generalized Hoek-Brown Criterion." Applied Mechanics and Materials 204-208 (October 2012): 259–62. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.259.

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The strength of massive jointed rock mass can be estimated based on Mohr-Coulomb criterion and Hoek-Brown criterion without making expensive experiment of massive jointed rock mass in site. Only using regression analysis, through transformation,Mohr-Coulomb criterion is compared with Hoek-Brown criterion, the strength of jointed rock mass can be economically obtained. In this paper, based on Geological Strength Index GSI and parameter Jv(Joint/m3), the strength of massive jointed rock mass can be obtained. As an example of GSI 24 for massive jointed rock mass is taken, generalized Hoek-Brown c
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48

Zhang, Jian Yu, Chuan Sheng Wang, Rui Bao, and Bin Jun Fei. "Residual Strength Research for Aluminum Alloy Sheet with Multiple Site Damage." Key Engineering Materials 348-349 (September 2007): 489–92. http://dx.doi.org/10.4028/www.scientific.net/kem.348-349.489.

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This study investigated the residual strength of aluminum alloy sheet with multiple site damage (MSD) through three types of aluminum specimens test. Aluminum panels with bare collinear constant diameter holes were chosen as specimens. And there were saw cuts at both edges of all the holes. After some constant amplitude tension-tension load cycles, the MSD were found in these specimens since there were multiple fatigue cracks emanating from the saw cuts of holes. The residual strength was recorded as the maximum load when every specimen was subjected to monotonically increasing tensile load un
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49

ZHANG, Qiang, Shuilin WANG, Xiurun GE, and Hongying WANG. "Modified Mohr-Coulomb strength criterion considering rock mass intrinsic material strength factorization." Mining Science and Technology (China) 20, no. 5 (2010): 701–6. http://dx.doi.org/10.1016/s1674-5264(09)60266-0.

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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
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