弹脆塑性软化本构理论的特点及其数值计算

The characteristics of elasto-brittle-plastic softening constitutive theory and its numerical calculation

对大型复杂工程岩体结构，其材料的宏观力学性能的变形劣化是结构在外界条件作用下变形增加和稳定性降低的主要因素之一。本文通过引入应力跌落时发生各向同性软化的假定，给出了完整的弹脆塑性本构积分的数值格式和增量型弹脆塑性有限元求解算法。由典型结构的数值解与相应的解析解比较可见，本文数值解的精度是令人满意的。这说明本文弹脆塑性本构积分数值格式是合理的、有效的。所设计的有限元计算程序能够用于弹脆塑性材料组成的结构的力学行为的分析。

For large-scale complicated rockmass,the strain-degradiation of its macro-scopic mechanical properities is one of the princinpal factor for the increasing of deformation values.In this paper, it is assumed that the strain softening is isotropic during the stress-drop taking place.The numerical scheme for elasto-brittle-plastic constitutive integration and corresponding incremental finite element solution scheme have been proposed. Compared with the corresponding analytical solution of a typical structure,the accuracy of the numerical results obtained in this paper is satisfactory.It is appeared that the numerical integration scheme is reasonable.The computational program designed here is suitable for the mechanical analysis of the elasto-brittle-plsatic structure.