裂纹尖端场弹塑性分析的加权残数法及塑性应力强度因子的计算  

A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors

作　　者：张宁生[1] 赵学仁[1] 薛大为[1] 

机构地区：[1]北京理工大学

出　　处：《应用数学和力学》1991年第12期1055-1066,共12页Applied Mathematics and Mechanics

摘　　要：本文以幂强化材料,平面应变情形为例,系统地提出了裂纹尖端场弹塑性分析的加权残数法,并根据此法,得出了裂纹尖端场的解析式弹塑性近似解.在此基础上.对整个裂纹区域,构造了弹塑性解叠加非线性有限元计算塑性应力强度因子的方法,从而为裂纹尖端场和整个裂纹体的分析和计算,提供了一个方法.In this paper, a weighted residual method for the elastic-plastic analysis near a crack tip is systematically given by taking the model of power-law hardening under plane strain condition as a sample. The elastic-plastic solutions of the crack tip field and an approach based on the superposition of the nonlinear finite element method on the complete solution in the whole crack body field, to calculate the plastic stress intensity factors, are also developed. Therefore, a complete analysis based on the calculation both for the crack tip field and for the whole crack body field is provided.

关 键 词：裂纹尖端场 断裂力学 应力强度因子 

分 类 号：O346.1[理学—固体力学]