上海交通大学学报(英文版) ›› 2012, Vol. 17 ›› Issue (5): 619-628.doi: 10.1007/s12204-012-1334-5
WANG Zhong-chang1,2* (王忠昶), WANG Hai-tao1,2 (王海涛), YANG Qing2 (杨庆)
出版日期:
2012-10-30
发布日期:
2012-11-16
通讯作者:
WANG Zhong-chang1,2* (王忠昶)
E-mail: wazoch@163.com
WANG Zhong-chang1,2* (王忠昶), WANG Hai-tao1,2 (王海涛), YANG Qing2 (杨庆)
Online:
2012-10-30
Published:
2012-11-16
Contact:
WANG Zhong-chang1,2* (王忠昶)
E-mail: wazoch@163.com
摘要: The damage critical curved surface is derived by considering the related effect of isotropic damage and degradation of cohesion and internal friction angle of Mohr-Coulomb strength law. The characteristics of stress-displacement curve and networks of shear bands with the change of degree of damage, confining pressure and Poisson’s ratio are investigated numerically by monitoring the stress-displacement values in the process of deformation of samples under plane strain and different initial conditions. The dependence of elastic-plastic response of localization is discussed. The non-uniqueness of the solution of equation is given. The orientation angle of shear band is derived by considering the related effect of isotropic damage and degradation of cohesion and internal friction angle. The orientation angle of shear band obtained by numerical simulation is contrasted to the orientation angle by measuring Mohr circle. It is shown that peak strength and residual strength depend on confining pressure. The networks of shear bands begin to appear in phase II of elasticity and develop in soften phase, and the shear band is formed in the phase of residual strength. As the degree of damage increases, axial displacement at the points of bifurcation and shear band decreases. The orientation angle of shear band increases with the increase of the damage degree. The orientation angle of shear band obtained by numerical simulation and measuring Mohr circle is not much difference when the damage degree is equivalent. The Mohr-Coulomb theory may predict the localized instability of sample by considering the degradation of cohesion and internal friction angle.
中图分类号:
WANG Zhong-chang1,2* (王忠昶), WANG Hai-tao1,2 (王海涛), YANG Qing2 (杨庆). Analysis of Localization of Mohr-Coulomb Strength Law with Damage Effect[J]. 上海交通大学学报(英文版), 2012, 17(5): 619-628.
WANG Zhong-chang1,2* (王忠昶), WANG Hai-tao1,2 (王海涛), YANG Qing2 (杨庆). Analysis of Localization of Mohr-Coulomb Strength Law with Damage Effect[J]. Journal of shanghai Jiaotong University (Science), 2012, 17(5): 619-628.
[1] Lu Yun-de, Ge Xiu-run, Jiang Yu, et al. Study on conventional triaxial compression test of complete process for marble and constitutive equation [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(15):2489-2493 (in Chinese). [2] Wang Jian-guo, Wang Zheng-wei, Ma Shao-peng.Test study on deformation field evolution of rock material under cyclic load [J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(Sup2): 3336-3341(in Chinese). [3] Pan Yi-shan, Yang Xiao-bin, Ma Shao-peng, et al.Experimental study on the deformation localization of rock-soil material [J]. Journal of China Coal Society,2002, 27(3): 281-284 (in Chinese). [4] Pan Bing, Xie Hui-min, Xia Yong, et al. Largedeformation measurement based on reliable initial guess in digital image correlation method [J]. Acta Optica Sinica, 2009, 29(2): 400-600 (in Chinese). [5] Zhang Dong-ming, Hu Qian-ting, Wang Hao. Digital speckle experimental research on deformation localization of soft rock [J]. Journal of China Coal Society,2011, 36(4): 567-571 (in Chinese). [6] Rudnicki J W, Rice J R. Conditions for the localization of deformation in pressure-sensitive dilatant materials [J]. Journal of the Mechanics and Physics of Solids, 1975, 23(6): 371-394. [7] Rice J R, Rudnicki J W. A note on some features of the theory of localization of deformation [J]. International Journal of Solids Structure, 1980, 16: 597-605. [8] Vardoulakis I, Karlsruhe B R D. Bifurcation analysis of the triaxial test on sand samples [J]. Acta Mechanica, 1979, 32: 35-54. [9] Zhang Yong-qiang, Song Li, Yu Mao-hong. Unified solution of discontinuous bifurcation for plane strain problems [J]. China Civil Engineering Journal, 2004,37(4): 54-59 (in Chinese). [10] Zhao Ji-dong, Zhou Wei-yuan, Huang Yan-song, et al. A damage localization bifurcation model for rockconcrete-like materials and its application [J]. Chinese Journal of Geotechnical Engineering, 2003, 25(1): 80-83 (in Chinese). [11] Wang Xue-bing, Pan Yi-shan, Yu Hai-jun. Axial response of rock specimen considering strain rate gradient effect in uniaxial compression [J]. Rock and Soil Mechanics, 2003, 24(6): 943-946 (in Chinese). [12] Hill R. Some basic principles in the mechanics of solids without nature time [J]. Journal of Mechanics and Physics of Solids, 1959, 7(3): 209-225. [13] Zhang Hong-wu. Uniqueness and localization bifurcation analysis solution of saturated porous media[J]. Acta Mechanica Sinica, 2000, 32(6): 686-697 (in Chinese). |
[1] | ZHUANG Weimin (庄蔚敏), WANG Pengyue (王鹏跃), AO Wenhong (熬文宏), CHEN Gang (陈刚) . Experiment and Simulation of Impact Response of Woven CFRP Laminates with Different Stacking Angles[J]. J Shanghai Jiaotong Univ Sci, 2021, 26(2): 218-230. |
[2] | YU Zelin, SUN Pengwen, WANG Dong. Fatigue Life Prediction for Flange Connecting Bolts of Wind Turbine Tower[J]. Journal of Shanghai Jiao Tong University(Science), 2020, 25(4): 526-530. |
[3] | GAO Jianxiong (高建雄), AN Zongwen (安宗文), MA Qiang (马强), ZHAO Shendan (赵申诞). Probability Model of Residual Strength of Materials Under Uncertain Cyclic Load[J]. Journal of Shanghai Jiao Tong University (Science), 2020, 25(2): 266-272. |
[4] | WANG Menghan* (王梦寒), XIAO Guiqian (肖贵乾), WANG Jinqiang (王晋强), LI Zhi (李志). Optimization of Clinching Tools by Integrated Finite Element Model and Genetic Algorithm Approach[J]. Journal of Shanghai Jiao Tong University (Science), 2019, 24(2): 262-272. |
[5] | HU Jun *(胡俊), REN Jianwei (任建伟), WU Deyi (吴德义). Dynamic Mechanical Properties of EPS Concrete Under Impact Loading[J]. Journal of Shanghai Jiao Tong University (Science), 2019, 24(1): 94-100. |
[6] | ZHOU Yu (周宇), DI Shengkui (狄生奎), XIANG Changsheng (项长生), WANG Lixian (王立宪). Damage Detection for Simply Supported Bridge with Bending Fuzzy Stiffness Consideration[J]. sa, 2018, 23(2): 308-319. |
[7] | LIU Jianhui (刘俭辉), WEI Yaobing (韦尧兵), YAN Changfeng (剡昌锋), LANG Shanshan (郎珊珊). Method for Predicting Crack Initiation Life of Notched Specimen Based on Damage Mechanics[J]. sa, 2018, 23(2): 286-290. |
[8] | JAFARI Abouzar, DUGNANI Roberto*. Estimation of Load-Induced Damage and Repair Cost in Post-Tensioned Concrete Rocking Walls[J]. sa, 2018, 23(1): 122-131. |
[9] | DING Daweia,b* (丁大为), ZHANG Xiaoyunb (张肖芸), WANG Niana,b* (王年), LIANG Donga,b (梁. Hybrid Control of Delay Induced Hopf Bifurcation of Dynamical Small-World Network[J]. 上海交通大学学报(英文版), 2017, 22(2): 206-215. |
[10] | GAO Hui-ying (高会英), ZUO Fang-jun (左芳君), LU Zhi-qiang (吕志强),ZHU Shun-peng (朱顺鹏), . Residual Life Prediction Based on Nonlinear Fatigue Damage Accumulation Model[J]. 上海交通大学学报(英文版), 2015, 20(4): 449-453. |
[11] | ZUO Fang-jun (左芳君), ZHU Shun-peng (朱顺鹏), GAO Hui-ying (高会英),L¨U Zhi-qiang (吕志强),. Stochastic Fatigue Life and Reliability Prediction Based on Residual Strength[J]. 上海交通大学学报(英文版), 2015, 20(3): 331-337. |
[12] | CAO Wei (曹威), MA Ying-xin (马英鑫), YIN Wei-hai* (殷卫海). Synchrotron Radiation X-Ray Inducing a Significant Increase in the CD38 Level of Rodent Testes by Generating Oxidative Stress[J]. 上海交通大学学报(英文版), 2014, 19(6): 669-674. |
[13] | CHENG Cheng (程 成), CHE Ai-lan* (车爱兰), CAO Yong-kang (曹永康). Application of Non-Detective Techniques in Traditional Masonry Structures[J]. 上海交通大学学报(英文版), 2013, 18(3): 306-310. |
[14] | YU Songa* (虞松), ZHAO Junb (赵军). Investigation on Blanking of Thick Sheet Metal Using the Ductile Fracture Initiation and Propagation Criterion[J]. 上海交通大学学报(英文版), 2012, 17(5): 531-536. |
阅读次数 | ||||||||||||||||||||||||||||||||||||||||||||||||||
全文 313
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||
摘要 1192
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||