| 一种岩石统计损伤本构模型的研究 |
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| 引用本文： | 杨建平,陈卫忠,黄 胜.一种岩石统计损伤本构模型的研究[J].岩土力学,2010,31(Z2):7-11. |
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| 作者姓名： | 杨建平 陈卫忠 黄 胜 |
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| 作者单位： | 1. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室，武汉 430071；2. 铁道第四勘察设计院集团有限公司，武汉 430063 |
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| 基金项目： | 国家自然科学基金重大国际合作项目（No. 50720135906）；国家自然科学基金（No. 41072238）。 |
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| 摘 要： | 基于岩石的非均质性，假设岩石微元粘聚力服从Weibull分布，微元破坏后其粘聚力降为0，结合统计理论和岩石剪切面上剪力平衡方程，建立了岩石发生剪切破坏时的损伤演化方程。该损伤演化方程考虑了破坏微元的抗压和抗剪能力，能够反映岩石峰后强度逐步丧失过程和残余强度。将该模型编入有限元程序，数值计算了不同围压下岩石应力-应变全过程曲线，与试验曲线比较取得了很好的一致性。
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| 关 键 词： | 统计 损伤演化 模型 非均质性 残余强度 |
| 收稿时间： | 2010-07-23 |
Study of a statistic damage constitutive model for rocks |
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| YANG Jian-ping,CHEN Wei-zhong,HUANG Sheng.Study of a statistic damage constitutive model for rocks[J].Rock and Soil Mechanics,2010,31(Z2):7-11. |
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| Authors: | YANG Jian-ping CHEN Wei-zhong HUANG Sheng |
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| Institution: | 1. State Key Laboratory of Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. China Railway Siyuan Survey and Design Group Co., Ltd., Wuhan 430063, China |
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| Abstract: | Considering the heterogeneity of the rock, cohesion for elements throughout the rock is supposed to follow a Weibull distribution, and decreases to zero when element fails according to Mohr-Coulomb criterion. A damage evolution equation for rock undergoing compression is derived based on the statistic theory and shear force equilibrium equation on the shear failure plane. The derived damage evolution equation is reasonable because it considers the failed elements ability of resisting pressure and frictional shear force. A statistic damage constitutive model is then established and verified by comparing the simulated finite element method results with laboratory triaxial testing results. Numerical results show that the developed model simulates the peak and residual strength of triaxial tests very well. |
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| Keywords: | statistics damage evolution model heterogeneity residual strength |
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