A refined micromechanical damage–friction model with strength prediction for rock-like materials under compression
A refined micromechanical damage–friction model with strength prediction for rock-like materials under compression
复制标题
一种精细的微机械损伤摩擦模型，可预测受压岩石材料的强度
DOI：
10.1016/j.ijsolstr.2015.02.005
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发表时间：
2015-05
影响因子：
3.6
通讯作者：
J.F. Shao
中科院分区：
文献类型：
--
作者：
Q.Z. Zhu;J.F. Shao
微缺陷处的非弹性变形和损伤演化是控制准脆性固体宏观力学行为的两个重要的非线性机制。本文讨论了微裂纹中两个耗散过程的统一框架：摩擦滑动引起的非弹性变形和裂纹扩展引起的损坏，通常在压缩下的粘性材料中出现并强烈耦合。这项工作的贡献有三个：（i）基于 Mori-Tanaka 方法，针对多裂纹族的一般情况，确定了由基体相和随机定向和分布的便士形微裂纹组成的代表性单元体积的自由焓。现在通过使用两个方向相关的张量算子以优雅的方式呈现本构公式； (ii) 摩擦准则是根据施加到微裂纹上的局部应力来制定的。该局部应力包含一个反应力项，可以对材料硬化/软化行为进行统一建模：摩擦引起的硬化归因于摩擦剪切的累积，而与损伤相关的软化则由裂纹扩展和聚结引起； (iii) 最初，强度预测是通过损伤-摩擦耦合分析来实现的。在此过程中，揭示了抗损伤性的基本特征，从而产生了一种适合描述和建模准脆性材料非线性力学行为的新型损伤准则。此外，建立本地标准中的参数与实验室测试的实验数据之间的跨尺度关系，这在多尺度建模中始终很有吸引力。作为验证的第一阶段，完善的微观力学模型最终应用于模拟三轴压缩下花岗岩的实验室测试。
Inelastic deformation and damage evolution at microdefects are two essential nonlinear mechanisms that govern macroscopic mechanical behaviors of quasi-brittle solids. The present paper deals in a unified framework with two dissipative processes in microcracks: inelastic deformation due to frictional sliding and damage by crack growth, usually arising and strongly coupled in cohesive materials under compression. Contributions by this work are threefold: (i) based on the Mori–Tanaka method, the free enthalpy of the representative elementary volume composed of a matrix phase and randomly oriented and distributed penny-shaped microcracks is determined for the general case of multiple crack families. The constitutive formulations are now presented in an elegant manner by using two orientation-dependent tensorial operators; (ii) the friction criterion is formulated in terms of the local stress applied onto microcracks. This local stress contains a back stress term that allows unified modeling of material hardening/softening behavior: friction-induced hardening is attributed to the cumulation of frictional shearing while damage-related softening is induced by crack growth and coalescence; (iii) originally, strength prediction is achieved through damage–friction coupling analyses. In that process, a basic feature of the damage resistance is revealed, leading to a novel damage criterion suitable for describing and modeling nonlinear mechanical behavior of quasi-brittle materials. Moreover, trans-scale relationship between the parameters in the local criteria and experimental data from laboratory tests is set up, which is always appealing in multiscale modeling. As a first phase of validation, the refined micromechanical model is finally applied to simulate laboratory tests on a granite under triaxial compression.
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影响因子：
2.4
作者：
Y. Benveniste
通讯作者：
Y. Benveniste
DOI：
10.1016/j.ijsolstr.2011.12.006
发表时间：
2012-03
影响因子：
3.6
作者：
N. Xie;Q. Zhu;J. Shao;Lihua Xu
通讯作者：
N. Xie;Q. Zhu;J. Shao;Lihua Xu
DOI：
10.1002/nag.551
发表时间：
2007-02
影响因子：
4
作者：
A. Jefferson;T. Bennett
通讯作者：
A. Jefferson;T. Bennett
DOI：
10.1016/j.ijrmms.2013.09.003
发表时间：
2013-12-01
影响因子：
7.2
作者：
Zhao, X. G.;Cai, M.;Ma, L. K.
通讯作者：
Ma, L. K.
北山花岗岩损伤引起的渗透率变化的实验表征和微观力学模拟
DOI：
10.1016/j.ijrmms.2014.07.002
发表时间：
2014-10-01
影响因子：
7.2
作者：
Chen, Yifeng;Hu, Shaohua;Jing, Lanru
通讯作者：
Jing, Lanru