脆性固体损伤和局部软化的有限元分析

本文研究混凝土、岩石一类工程中常用的应变软化材料的有限元分析方法。在作者以往有关粘塑性损伤本构模型的工作基础上，给出了一组便于有限元计算的本构方程表达式。包括损伤弹性矩阵和局部损伤软化矩阵，分别运用于计算硬化和软化阶段的有限元刚度矩阵；对所提出的本构方程的实验验证计算和一些算例的有限元数值分析，表明文中给出的本构方程是可行的，相应的有限元算法能较好地对损伤固体的局部软化效应进行数值分析，并可成功地追踪应力应变响应的软化曲线

Finite element analysis of strain softening response for damaged materials

The present work is aimed at the finite element implementation of the viscoplastic softening damage model for strain softening materials.The stiffness matrix of the finite element system equations is evaluated by a damaged elastic matrix for pre critical hardening response,and the local damaged softening matrix for post critical softening response.The somputational techniques for tracing numerically the softening path is studied with the arc length method,Four examples are chosen to show the numerical results of the deformation response with damage and softening.