A statistical damage constitutive model for softening behavior of rocks

介观物理学 本构方程 损伤力学 软化 岩石力学 变形(气象学) 岩土工程 地质学 有限元法 统计物理学 机械 结构工程 工程类 数学 物理 统计 海洋学 量子力学
作者
Xiang Li,Wengui Cao,Yonghua Su
出处
期刊:Engineering Geology [Elsevier BV]
卷期号:143-144: 1-17 被引量:251
标识
DOI:10.1016/j.enggeo.2012.05.005
摘要

A basic theory of damage mechanics was introduced to deal with the deformation of strain softening for rocks. In this theory, a statistical method was used to describe rock properties on a mesoscopic scale in order to generate realistic behavior at a macroscopic scale. First, some relevant concepts of damage mechanics theory were summarized. This summary was followed by the concise presentation of a damage model established for rocks. Subsequently, the effect of the damage threshold on the evolution of rock damage was analyzed based on this damage model. An evolution equation of the damage for rocks was then formulated by incorporating statistical considerations, as it underlies a corresponding method of measuring the mesoscopic element strength in characterizing the influence of the damage threshold. A statistical damage constitutive model for rocks was further proposed whereby the phenomenon of strain softening can be reflected. A simple, yet practical procedure for identifying the model parameters was provided and an associated flow for solving this constitutive model was also presented. In order to demonstrate the effectiveness of the proposed constitutive model, comparative analyses between experimental data and theoretical results were offered using the illustrative examples, and the discussions on several issues related to the rock behavior of this model were eventually performed.
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