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1

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

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To study the strength and yield behaviors of the modified soil, a series of triaxial compression tests were carried out for modified silty clay with different contents of red Pisha sandstone and carbide slag, respectively. The test results showed that the strength variation of the modified soils are obviously nonlinear with the hydrostatic pressure increasing, and the nonlinear strength can be described by a modified critical state function. Then, the friction angle and the cohesive force of the modified soils were obtained according to the nonlinear Mohr-Coulomb equation, and the relationship
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2

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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3

Grishin, V., M. Glebova, and N. Guseva. "Strength determination of metal composite multiple-row joints." E3S Web of Conferences 376 (2023): 01001. http://dx.doi.org/10.1051/e3sconf/202337601001.

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The results obtained using standard and improved (modified) calculation methods for load distribution on fasteners and joints strength are analyzed on the examples of four types of multiple-row metal-composite joints with cover plates of various thickness and various diameters of fasteners. A modified technique based on the Nuismer criterion is used to determine the load-bearing capacity. It was determined that for all joints the difference between the calculation results and the experiment is 14 - 26% using this criterion. It’s desirable to use a modified scheme of the Nuismer criterion to im
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4

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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5

Xiao, Yang, HanLong Liu, and Robert Y. Liang. "Modified Cam-Clay model incorporating unified nonlinear strength criterion." Science China Technological Sciences 54, no. 4 (2011): 805–10. http://dx.doi.org/10.1007/s11431-011-4313-4.

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6

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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7

Wang, Yalei, Jinming Xu, Junshuai Xu, and Chuanjiang Zhong. "Estimation of Rock Burst Grades Using Rock Mass Strength." Advances in Civil Engineering 2020 (July 18, 2020): 1–14. http://dx.doi.org/10.1155/2020/2517459.

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The traditional rock burst estimation method is usually based on the σc (rock strength) in practice, while the actual occurrence of rock burst depends more on the structure and strength of the rock mass. In this work, the actual rock bursts occurred in a railway tunnel project in Western China, and the σcm (rock mass strength) was calculated by the generalized Hoek–Brown criterion. According to the actual situation of rock bursts, a modified rock burst estimation criterion using the ratio of σcm to σmax (maximum geostress) was proposed. The influence of randomness on the reliability of rock bu
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8

Zhang, Jian Yu, Rui Bao, and Bin Jun Fei. "Modified Swift Criteria for Residual Strength of Multiple Site Damage Structure." Key Engineering Materials 417-418 (October 2009): 881–84. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.881.

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As more aircrafts reach or exceed their design life, it is becoming very important to research multiple cracks damage, especially the multiple site damage (MSD) in order to re-evaluate their service life and damage tolerance/durability performance. The existing of MSD may remarkably reduce the residual strength of an aerospace structural component than those with a singe lead crack. This study investigated the residual strength of aluminum alloy sheet with MSD through three types of aluminum specimens test. Aluminum panels with bare collinear constant diameter holes were chosen as specimens. A
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9

Deng, Xianghui, Yuncai Wang, Rui Wang, Daohong Xia, and Zhiqing Zhao. "Application of Modified Hoek–Brown Strength Criterion in Water-Rich Soft Rock Tunnel." Geofluids 2021 (June 7, 2021): 1–12. http://dx.doi.org/10.1155/2021/5552791.

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When a tunnel is excavated in the water-rich soft rock stratum, the strength of the soft rock is greatly reduced due to the seepage of groundwater. The condition may result in engineering accidents, such as large deformation, limit invasion, and even local collapse of the tunnel. Therefore, it is very important to research the stability of the surrounding rock in the water-rich soft rock tunnel. The water-rich disturbance factor considering the seepage influence of groundwater and blasting disturbance is proposed, and the generalized Hoek–Brown strength criterion is modified on the basis of th
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10

Shi, Yufan, Tianshou Ma, Dongyang Zhang, Yingjie Chen, Yang Liu, and Changsong Deng. "Analytical Model of Wellbore Stability Analysis of Inclined Well Based on the Advantageous Synergy among the Five Strength Criteria." Geofluids 2023 (February 6, 2023): 1–23. http://dx.doi.org/10.1155/2023/2201870.

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The proper drilling mud density is vital for wellbore stability maintenance, which relies on both stress distribution on the borehole wall and rock strength. Thus, the selection of rock strength criterion is vital for wellbore stability analysis (WSA), and several strength criteria have been developed and employed to perform WSA, but the real collapse pressure does not comply with any single strength criterion. Therefore, to accurately predict the critical mud weight against wellbore collapse, an analytical model of WSA was proposed for inclined wells based on the advantageous synergy among th
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11

Yang, Yugui, Feng Gao, and Yuanming Lai. "Modified Hoek?Brown criterion for nonlinear strength of frozen soil." Cold Regions Science and Technology 86 (February 2013): 98–103. http://dx.doi.org/10.1016/j.coldregions.2012.10.010.

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12

Li, Yukuan, Di Li, Hui Song, Yiqun Wang, and Dongze Wu. "Temperature Dependency of Modified Mohr–Coulomb Criterion Parameters for Advanced High Strength Dual-Phase Steel DP780." Metals 14, no. 6 (2024): 721. http://dx.doi.org/10.3390/met14060721.

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The Modified Mohr–Coulomb criterion has been demonstrated to exhibit high accuracy in the prediction of fracture in high-strength steels. Taking DP780 as the research object, the undetermined parameters of the Modified Mohr–Coulomb criterion at different temperatures were calibrated by tensile and shear tests combined with simulation. The relationships between the parameters and temperature were investigated. Finally, the relationship between criterion parameters and temperature was verified using the stretch-bending tests of U-shape parts. The fracture of automotive parts can be accurately pr
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13

Chen, H., H. Zhu, and L. Zhang. "Further modification of a generalized three-dimensional Hoek-Brown criterion – the GZZ criterion." Géotechnique Letters 12, no. 4 (2022): 1–21. http://dx.doi.org/10.1680/jgele.21.00117.

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This paper presents a further modification of the generalized three-dimensional (3D) Hoek-Brown criterion - the GZZ (generalized 3D Zhang-Zhu) criterion. Specifically, a modification was made by introducing a 3D version of effective mean stress to replace the original 2D version of effective mean stress in the GZZ criterion. The modification overcomes the non-smoothness and non-convexity problems of the GZZ criterion and maintains a simple form of the criterion expression. The modified GZZ criterion can also reduce to the two-dimensional (2D) Hoek-Brown criterion under both triaxial compressio
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14

Yu, Xiangyu, Kewang Xu, Qiang Xu, Aifeng Zhang, and Hao Zhang. "Modification of the Mohr–Coulomb Criterion and Its Application in the Cracking of Ring-Stiffened Cylinders Made of Titanium Alloy." Processes 12, no. 8 (2024): 1732. http://dx.doi.org/10.3390/pr12081732.

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TC4 ELI alloy is widely used in the marine, medicine, and aviation fields. The failure performance of TC4 ELI alloy is significantly different from that of other metal materials, such as steels. In this paper, a modified Mohr–Coulomb criterion is calibrated based on several kinds of specimens under different stress states and a 3D geometric representation of a modified Mohr–Coulomb fracture locus for TC4 ELI is obtained based on these parameters. The effectiveness of the modified M-C criterion is studied by a ring-stiffened cylinder made of TC4 ELI. The ultimate strength of the cylinder obtain
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15

Li, Zhuzheng, Hongxi Li, Qiangui Zhang, et al. "A Modified Nonlinear Mohr–Coulomb Failure Criterion for Rocks Under High-Temperature and High-Pressure Conditions." Applied Sciences 15, no. 14 (2025): 8048. https://doi.org/10.3390/app15148048.

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In deep, geologically complex environments characterized by high in situ stress and elevated formation temperatures, the mechanical behavior of rocks often transitions from brittle to ductile, differing significantly from that of shallow formations. Traditional rock failure criteria frequently fail to accurately assess the strength of rocks under such deep conditions. To address this, a novel failure criterion suitable for high-temperature and high-pressure conditions has been developed by modifying the Mohr–Coulomb criterion. This criterion incorporates a quadratic function of confining press
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16

De Groot, R., M. C. R. B. Peters, Y. M. De Haan, G. J. Dop, and A. J. M. Plasschaert. "Failure Stress Criteria for Composite Resin." Journal of Dental Research 66, no. 12 (1987): 1748–52. http://dx.doi.org/10.1177/00220345870660121001.

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In previous work (Peters and Poort, 1983), the stress distribution in axisymmetric models of restored teeth was analyzed by finite element analysis (FEA). To compare the tri-axial stress state at different sites, they calculated the Von Mises equivalent stress and used it as an indication for weak sites. However, the use of Von Mises' theory for material failure requires that the compressive and tensile strengths be equal, whereas for composite resin the compressive strength values are, on the average, eight times larger than the tensile strength values. The objective of this study was to inve
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17

Nesvetaev, G. V., G. N. Hadzhishalapov, and I. A. Zhivotkova. "Analysis of resistance criteria of modified building mortars to various influences." Herald of Dagestan State Technical University. Technical Sciences 52, no. 1 (2025): 210–18. https://doi.org/10.21822/2073-6185-2025-52-1-210-218.

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Objective. The article deals with the analysis of the resistibility of building mortars made of dry building mixtures according to various criteria after 100 cycles of freezing and thawing and aging for 120 days according to the Russian National Standard 24544-2020Method. The investigation was based on standards to determine the parameters of the pore structure of hardened mortars, flexural and compressive strength, frost resistance, ultrasonic pulse velocity, dynamic modulus of elasticity, adhesion strength to a standard concrete base and frost resistance of the contact zone, and shrinkage de
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18

Windisch, Andor. "Multiaxial Strength and Deformations of Concrete, Failure Modes and a New Failure Criterion." Concrete Structures 24 (2023): 137–48. http://dx.doi.org/10.32970/cs.2023.1.19.

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The multiaxial strength of concrete, the associated stress-strain relationships, the failure modes and the failure criteria are again and again in the interest of researchers. After a historical review the most important bi- and triaxial experiments loading through brushes are analyzed. Based on the principal strengths and the loading path-concept a new, transparent type of presentation of the ultimate strength surface (USS) is introduced. For concrete classes ≤ C100 simplified relative strength-increase values are proposed. The difficulties of deformation measurements are reviewed. The outlin
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19

Wang, Shyh-Jen, and Marvin W. Dixon. "A New Criterion for Positive Mean Stress Fatigue Design." Journal of Mechanical Design 119, no. 1 (1997): 135–37. http://dx.doi.org/10.1115/1.2828776.

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The modified Findley line is proposed by using ultimate strength and endurance limit as parameters to obtain a good initial approximation of an acceptable design. Comparing with experimental data, the modified Findley line could be a strong candidate for fatigue design criterion for parts made of a nonferrous materials, and be conservative for ferrous material parts.
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20

Yao, Chi, Sizhi Zeng, and Jianhua Yang. "Failure Process Simulation of Interlayered Rocks under Compression." Advances in Civil Engineering 2018 (August 1, 2018): 1–13. http://dx.doi.org/10.1155/2018/9615457.

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Anisotropy in strength and deformation of rock mass induced by bedding planes and interlayered structures is a vital problem in rock mechanics and rock engineering. The modified rigid block spring method (RBSM), initially proposed for modeling of isotropic rock, is extended to study the failure process of interlayered rocks under compression with different confining pressures. The modified rigid block spring method is used to simulate the initiation and propagation of microcracks. The Mohr–Coulomb criterion is employed to determine shear failure events and the tensile strength criterion for te
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21

JOHN, H. BRIGHTON ISAAC, and T. CHRISTOPHER. "Fracture strength evaluation of titanium alloys using modified average stress criterion." Transactions of Nonferrous Metals Society of China 23, no. 4 (2013): 1072–79. http://dx.doi.org/10.1016/s1003-6326(13)62568-6.

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22

Zhang, Hongwei, Zhijun Wan, Chaoyi Wang, Zhaoyang Ma, Yuan Zhang, and Jingyi Cheng. "A Statistical Damage Constitutive Model for Geomaterials under Plane-Strain Biaxial Stress State." Advances in Mathematical Physics 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/3807401.

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The mechanical behavior of geomaterials under plane-strain biaxial stress state (PSBSS, a special case of biaxial stress state) is often considered in geotechnical structures such as highwall and longwall coal pillars. In this study, a modified statistical damage constitutive model based on Weibull distribution was established to explain the mechanical behavior of rocks under the PSBSS. The modified Wiebols-Cook criterion, Drucker-Prager criterion, and extremum method were adopted in this model to estimate the peak strength of rock, the strength level of microscopic element, and the statistica
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23

Wang, Xiao-Wen, Kai Cui, Yuan Ran, Yu Tian, Bo-Han Wu, and Wen-Bin Xiao. "Integration and Application of a Fabric-Based Modified Cam-Clay Model in FLAC3D." Geosciences 15, no. 1 (2025): 18. https://doi.org/10.3390/geosciences15010018.

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In order to consider the effect of fabric anisotropy in the analysis of geotechnical boundary value problems, this study proposes a modified model based on a fabric-based modified Cam-clay model, which can account for the anisotropic response of soil. The major modification of the original model aims to simplify the equations for numerical implementation by replacing the SMP strength criterion with the Lade’s strength criterion. This model comprehensively considers the inherent anisotropy, induced anisotropy, and three-dimensional strength characteristics of soil. The model is first numericall
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24

Hussain, Iqtadar, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood. "Generalized Majority Logic Criterion to Analyze the Statistical Strength of S-Boxes." Zeitschrift für Naturforschung A 67, no. 5 (2012): 282–88. http://dx.doi.org/10.5560/zna.2012-0022.

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The majority logic criterion is applicable in the evaluation process of substitution boxes used in the advanced encryption standard (AES). The performance of modified or advanced substitution boxes is predicted by processing the results of statistical analysis by the majority logic criteria. In this paper, we use the majority logic criteria to analyze some popular and prevailing substitution boxes used in encryption processes. In particular, the majority logic criterion is applied to AES, affine power affine (APA), Gray, Lui J, residue prime, S8 AES, Skipjack, and Xyi substitution boxes. The m
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25

Liu, Zhun, Zhidong Guan, Riming Tan, Jifeng Xu, and Xing Li. "Multiscale Analysis of CFRP Laminates with MMF3 Criterion under Different Off-Axis Loading Conditions." Materials 11, no. 11 (2018): 2255. http://dx.doi.org/10.3390/ma11112255.

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A multiscale analysis strategy with physical modified-micromechanics of failure (MMF3) criterion was proposed to analyze the failure behaviors of carbon fiber reinforced plastic (CFRP) laminates. The quantitative relationship between the macro- and micro- stresses was determined considering two typical fiber distributions. Thermal residual stress was taken into account in the stress transformation. The failures were defined and the properties of damaged elements were degraded at the constituent level. The back-calculation method based on the iteration algorithm was proposed to determine the mi
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26

Aleksandrov, A. S., G. V. Dolgih, and A. L. Kalinin. "Criteria of Mora-Coulomb with Three Parameters of Material." Materials Science Forum 992 (May 2020): 863–69. http://dx.doi.org/10.4028/www.scientific.net/msf.992.863.

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A modified Mohr – Coulomb criterion is presented. This criterion, in addition to adhesion and the angle of internal friction, contains the third parameter of the material (d). Depending on the value of this parameter (d), the modified criterion can take the form of the original Mohr – Coulomb criterion (with d = 0.5) or the original Treska criterion (with d = 0). For all other values of the parameter (d), varying in the range of 0 <d <0.5, the tangential stresses by the modified criterion are larger than the Mohr – Coulomb criterion, but less than the Tresca criterion. The paper presents
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27

Wang, Qiusheng, Guowei Ma, and X. J. Wang. "Numerical Simulation on Tensile Failure of Rock-Like Heterogeneous Material Using a Modified SPH Method." International Journal of Computational Methods 12, no. 06 (2015): 1550039. http://dx.doi.org/10.1142/s0219876215500395.

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A modified smoothed particle hydrodynamics (SPH) method is applied to simulate the dynamic tensile failure of rock-like heterogeneous materials. The material heterogeneities are represented by different mechanical properties with a Weibull distribution at different particles over the specimen. An elasto-plastic-damage model is adopted to simulate material failure. Numerical simulations are performed for three specimens with different degrees of heterogeneity under quasi-static and dynamic loading conditions, respectively. The effects of strength criterion coefficient [Formula: see text] on the
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28

Liu, Chao, Yanhui Han, Hui–Hai Liu, and Younane N. Abousleiman. "Wellbore-Stability Analysis by Integrating a Modified Hoek-Brown Failure Criterion With Dual-Porochemoelectroelastic Theory (includes associated erratum)." SPE Journal 24, no. 05 (2019): 1957–81. http://dx.doi.org/10.2118/195685-pa.

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Summary When drilling through naturally fractured formations, the existence of natural fractures affects the fluid diffusion and stress distribution around the wellbore and induces degradation of rock strength. For chemically active formations, such as shale, the chemical–potential difference between the drilling mud and the shale–clay matrix further complicates the nonmonotonic coupled pore–pressure processes in and around the wellbore. In this work, we apply a recently formulated theory of dual–porosity/permeability porochemoelectroelasticity to predict the time evolution of mud–weight windo
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29

Yao, Guo Wen, Yan Jun Li, and Xiao Wei Feng. "Effect of High Pressure on Dynamic Compressive Strength of A95 Alumina Ceramics." Advanced Materials Research 446-449 (January 2012): 3643–46. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.3643.

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The dynamic strength expressions of materials were reviewed in case of one-dimensional strain shock loadings in this paper, the effects on the strength were suggested to be considered of hydrostatic pressure and high strain rate. A modified form for the Hugoniot Elastic Limits was given associated with the Drucker-Prager yield criterion, the effect of hydrostatic pressure being included. Free surface velocity histories of particle were measured by VISAR system in plate impact experiments on alumina with a Light Gas Gun. The experimental determination of dynamic strengths of alumina was discuss
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30

Sun, Shanshan, Junhai Zhao, and Changguang Zhang. "Calculation of Silo Wall Pressure considering the Intermediate Stress Effect." Advances in Civil Engineering 2018 (September 18, 2018): 1–10. http://dx.doi.org/10.1155/2018/3673515.

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The reasonable determination of wall pressure is critical for the design of silo structures. In this study, the primary objective is to present four novel wall pressure coefficients based on four true triaxial strength criteria in the quasiplane strain state. These four strength criteria are the Drucker-Prager (D-P) criterion, the Matsuoka-Nakai (M-N) criterion, the Lade-Duncan (L-D) criterion, and the unified strength theory (UST), and they all consider the effect of the intermediate stress yet to different extent. These coefficients have a wide application range and are readily used to predi
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31

Li, Rongjin, Weishi Bai, Rongjian Li, and Jinshuo Jiang. "Study on Stress and Displacement of Axisymmetric Circular Loess Tunnel Surrounding Rock Based on Joint Strength." Applied Sciences 13, no. 11 (2023): 6836. http://dx.doi.org/10.3390/app13116836.

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The development of an effective evaluation method suitable for loess-tunnel excavation is necessary to avoid the collapse accidents caused by tunnel excavation and any secondary disasters. Although the Fenner formulas and the modified Fenner formulas are widely used in tunnel engineering, a defect still exists in these formulas because the Mohr–Coulomb (M–C) criterion exaggerates the tensile strength of the surrounding rock of the loess tunnel. A newly modified Fenner formula was derived based on joint strength to overcome this deficiency. First, the expressions of stress and the radius of the
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Ma, G. W., Q. S. Wang, X. W. Yi, and X. J. Wang. "A Modified SPH Method for Dynamic Failure Simulation of Heterogeneous Material." Mathematical Problems in Engineering 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/808359.

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A modified smoothed particle hydrodynamics (SPH) method is applied to simulate the failure process of heterogeneous materials. An elastoplastic damage model based on an extension form of the unified twin shear strength (UTSS) criterion is adopted. Polycrystalline modeling is introduced to generate the artificial microstructure of specimen for the dynamic simulation of Brazilian splitting test and uniaxial compression test. The strain rate effect on the predicted dynamic tensile and compressive strength is discussed. The final failure patterns and the dynamic strength increments demonstrate goo
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33

Li, Hang Zhou, Hong Jian Liao, Bo Han, and Li Song. "A Nonlinear Constitutive Model for Soil under Complex Stress State." Key Engineering Materials 535-536 (January 2013): 561–64. http://dx.doi.org/10.4028/www.scientific.net/kem.535-536.561.

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It is fundamental to predict the stress-strain behavior of soils to control the stability of the geotechnical engineering. A Duncan-Chang constitutive model is analyzed and found that it ignores the effect of the intermediate principal stress. A unified strength theory is investigated and revised. The lode parameter is introduced into the unified strength theory. The unified friction angle and cohesion which may reflect the influence of the intermediate principal stress and verified by the polyaxial tests are obtained. The compressive strength revised from the unified strength theory is used t
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34

Lu, Tianci, Hao Wu, Shuiming Yin, and Xiaoli Xu. "Study of Rock Damage Constitutive Model Considering Temperature Effect Based on Weibull Distribution." Applied Sciences 14, no. 9 (2024): 3766. http://dx.doi.org/10.3390/app14093766.

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The deformation and damage process of rocks is accompanied by crack extension and penetration. The rock strength criterion, as a macroscopic characterization of the rock strength microelement, is the basis for establishing the damage constitutive modeling of rock. Aiming at the problem of the Hoek–Brown (H–B) strength criterion having a large strength prediction value under high confining pressure, the H–B strength criterion is corrected by considering the influence of the initial cracks on the development of the rock strength, and its applicability is verified. Based on the damage theory, ass
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35

Galindo, R. A., A. Serrano, and C. Olalla. "Ultimate bearing capacity of rock masses based on modified Mohr-Coulomb strength criterion." International Journal of Rock Mechanics and Mining Sciences 93 (March 2017): 215–25. http://dx.doi.org/10.1016/j.ijrmms.2016.12.017.

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36

Saeidi, Omid, Rashid Geranmayeh Vaneghi, Vamegh Rasouli, and Raoof Gholami. "A modified empirical criterion for strength of transversely anisotropic rocks with metamorphic origin." Bulletin of Engineering Geology and the Environment 72, no. 2 (2013): 257–69. http://dx.doi.org/10.1007/s10064-013-0472-9.

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37

Bogdanova, O. S. "Influence of the material anisotropy on the limit state of orthotropic plate with periodic system of collinear cracks under biaxial loading." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 1 (2019): 34–37. http://dx.doi.org/10.17721/1812-5409.2019/1.6.

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In the presented paper, the limiting state of the orthotropic plates weakened by the periodic system of collinear cracks under biaxial external loading is studied on the basis of the modified crack model of the Leonov-Panasyuk-Dagdale. The material of plate satisfies the strength condition of the general form. On the basis of the solution of a similar problem for an orthotropic plate with one crack, we obtain the relations for determining the basic parameters of a crack model, such as the size of the process zones, the stresses in these zones, and the opening at the top of the cracks. The crit
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38

Deng, Yansheng, Jianxiu Wang, and Baoping Zou. "Elastoplastic Analysis for Circular Tunnel Based on Modified Lade Criterion considering Strain Softening and Dilatancy." Advances in Civil Engineering 2021 (October 25, 2021): 1–11. http://dx.doi.org/10.1155/2021/4872558.

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Modified Lade criterion can not only describe the strength properties of many kinds of rocks well but also has simple and practical parameters. Although the elastoplastic solution of circular tunnel has been extensively investigated, the method based on modified Lade criterion considering the effect of the intermediate principal stress, strain-softening behavior, and dilatancy has not yet been studied. In this paper, a new numerical procedure based on modified Lade criterion is proposed to calculate the elastoplastic solutions for surrounding rock of the circular tunnel. The comparisons of str
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39

Gui, Meen-Wah, and Chun-Ming Yu. "Rate of strength increase of unsaturated lateritic soil." Canadian Geotechnical Journal 45, no. 9 (2008): 1335–43. http://dx.doi.org/10.1139/t08-065.

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Lateritic soil is a kind of residual soil that is widely distributed in Asia. The water table of the soil is normally very deep so the upper part of the soil is often unsaturated. The largest lateritic soil area in Taiwan is the Linkou terrace. Because the soil here is loosely cohered and consolidated, the problem of slope instability and landslides has always been a major concern. To evaluate the triggering mechanism of landslides, it is necessary to obtain the failure criterion that represents both the saturated and unsaturated conditions of the soil before any analysis is carried out. The p
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Gao, Min, Zhengzhao Liang, Shanpo Jia, and Jiuqun Zou. "Tensile Properties and Tensile Failure Criteria of Layered Rocks." Applied Sciences 12, no. 12 (2022): 6063. http://dx.doi.org/10.3390/app12126063.

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Rocks are less resistant to tension than to compression or shear. Tension cracks commonly initiate compression or shear failure. The mechanical behavior of layered rocks under compression has been studied extensively, whereas the tensile behavior still remains uncertain. In this paper, we study the effect of layer orientation on the strength and failure patterns of layered rocks under direct and indirect tension through experimental and numerical testing (RFPA2D: numerical software of Rock Failure Process Analysis). The results suggest that the dip angle of the bedding planes significantly aff
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41

Jen, Ming Hwa R., Yi Chun Sung, and Yu Chung Tseng. "Notched Strength Prediction and Verification of APC-2 Composite Laminates at Elevated Temperature." Advanced Materials Research 79-82 (August 2009): 1563–66. http://dx.doi.org/10.4028/www.scientific.net/amr.79-82.1563.

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The notched strength of AS-4/PEEK (APC-2) composite laminates with a central hole at elevated temperature was systematically studied by both analytical and empirical methods. First, the APC-2 cross-ply [0/90]4s panels were fabricated and cut into samples. Each sample was drilled a hole in the center with five kinds of diameters, such as d=0(unnotched), 1, 2, 3, and 4mm. Then, the samples were subjected to quasi-static tensile tests at elevated temperatures, including 25°C (RT), 75, 100, 125, 150 and 175°C, to measure their mechanical properties. The average values of received notched strength
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42

Singh, Mahendra, Anil Raj, and Bhawani Singh. "Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks." International Journal of Rock Mechanics and Mining Sciences 48, no. 4 (2011): 546–55. http://dx.doi.org/10.1016/j.ijrmms.2011.02.004.

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43

Singh, Mahendra, and Bhawani Singh. "Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks." International Journal of Rock Mechanics and Mining Sciences 51 (April 2012): 43–52. http://dx.doi.org/10.1016/j.ijrmms.2011.12.007.

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Zhu, Hehua, Qi Zhang, Boqi Huang, and Lianyang Zhang. "A constitutive model based on the modified generalized three-dimensional Hoek–Brown strength criterion." International Journal of Rock Mechanics and Mining Sciences 98 (October 2017): 78–87. http://dx.doi.org/10.1016/j.ijrmms.2017.07.012.

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El-Hajjar, R. F., and M. T. Lo Ricco. "Modified average stress criterion for open hole tension strength in presence of localised wrinkling." Plastics, Rubber and Composites 41, no. 9 (2012): 396–406. http://dx.doi.org/10.1179/1743289812y.0000000011.

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Wang, Ding-Jian, Huiming Tang, Peiwu Shen, and Yi Cai. "A Parabolic Failure Criterion for Transversely Isotropic Rock: Modification and Verification." Mathematical Problems in Engineering 2019 (March 4, 2019): 1–12. http://dx.doi.org/10.1155/2019/8052560.

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It is of great significance to develop a failure criterion that can describe the orientation-dependent behavior of transversely isotropic rocks. This paper presents a simplified parabolic model that is successful in predicting the strengths of rocks under different confining pressures and bedding angles. The model is a modified version of the normal parabolic criterion for intact rocks. The two orientation-dependent parameters (σcβ and kβ) in the model show trigonometric relationships with the bedding angle, and they can be readily determined through uniaxial and triaxial compression tests. Th
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Yu, Jincai, Cheng Cheng, Yuan Xie, and Peng Chen. "Strength Parameters and Failure Criterion of Granite After High-Temperature and Water-Cooling Treatment." Applied Sciences 15, no. 13 (2025): 7481. https://doi.org/10.3390/app15137481.

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Granite is the main rock type in hot dry rock reservoirs, and hydraulic fracturing is always required during the process of geothermal production. It is necessary to understand the strength parameters and failure criterion of granite after high-temperature and water-cooling treatment. In this paper, laboratory uniaxial and triaxial compression experiments are carried out on granite samples after high-temperature and water-cooling treatment. Combined with some experimental data collected from pre-existing studies, the variation behaviors of cohesion (c), the internal friction angle (φ) and tens
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Cristofoli, Francesca, Elisa Sorrentino, Giulia Guerri, et al. "Variant Selection and Interpretation: An Example of Modified VarSome Classifier of ACMG Guidelines in the Diagnostic Setting." Genes 12, no. 12 (2021): 1885. http://dx.doi.org/10.3390/genes12121885.

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Variant interpretation is challenging as it involves combining different levels of evidence in order to evaluate the role of a specific variant in the context of a patient’s disease. Many in-depth refinements followed the original 2015 American College of Medical Genetics (ACMG) guidelines to overcome subjective interpretation of criteria and classification inconsistencies. Here, we developed an ACMG-based classifier that retrieves information for variant interpretation from the VarSome Stable-API environment and allows molecular geneticists involved in clinical reporting to introduce the nece
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Dai, Zhenwei, Luqi Wang, Kaiqiang Zhang, Lin Wang, and Xuecheng Gao. "Implementation of the Barton–Bandis Nonlinear Strength Criterion into Mohr–Coulomb Sliding Failure Model." Advances in Materials Science and Engineering 2022 (February 12, 2022): 1–13. http://dx.doi.org/10.1155/2022/1590884.

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The stability of rocky slope is determined mainly by discontinuities. The discrete element calculation method can be used to analyze the geometric features of rock structures and to deal with the nonlinear deformation and destruction of the rock mass that may be affected by the discontinuities. In this paper, the Barton–Bandis (B-B) nonlinear strength criterion was introduced to improve the Mohr–Coulomb (M-C) slip model of joint slope. The modified model could reflect the real-time shear strength in a changing stress state. Using the numerical calculation of the shear test of the structural pl
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LIU, X. M., Z. L. LIU, X. C. YOU, J. F. NIE, and Z. ZHUANG. "THE STABILITY OF FCC CRYSTAL Cu UNDER UNIAXIAL LOADING IN [001] DIRECTION." Modern Physics Letters B 23, no. 15 (2009): 1871–80. http://dx.doi.org/10.1142/s0217984909020035.

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Uniaxial loading tests of copper with inter-atomic potential finite-element model are carried out to determine the corresponding ideal tension and compression strength using the modified Born stability criteria. The influence of biaxial stresses applied perpendicularly to the [100] loading axis, on the ideal strength is investigated, and tension-compression asymmetry in ideal strength under [100] loading is also studied. The results suggest that asymmetry for yielding strength of [100] nanowires may result from anisotropic character of crystal instability. Moreover, the results also reveal tha
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