一种岩石损伤流变模型及数值分析

根据石膏角砾岩的蠕变特性，建立石膏角砾岩的损伤流变模型；推导有限元计算中黏弹塑性损伤流变模型黏性应变的计算公式，结合初应变法的基本原理，分析模型的有限元求解过程；用MATLAB编制了损伤流变模型的平面应变有限元计算程序。利用编制的程序对石膏角砾岩蠕变试验进行有限元分析，有限元计算结果与蠕变试验结果吻合得较好，表明采用统计损伤理论研究岩石的非线性流变是可行、有效的。

Damage rheological constitutive model for numerical simulation to gypsum breccias

According to the creep characteristics of gypsum breceias, a damage theological constitutive model for gypsum breceias was established. Formulas for finite element calculation of visco-strain for the visco-elastic-plastic damage theological model were deduced, and the solving procedure was analyzed based on the basic principle of initial strain method. Then the program for finite element calculation of plane strain was compiled with MATLAB, and applied to finite element analysis of creep of gypsmn breceias. The calculated result was in good agreement with the test data; therefore, the statistical damage theory is effective for research of nonlinear rheology of rocks.