关于某些断裂力学问题分析方法的探讨

本文对裂纹问题提出了一组方案。对于弹性裂纹问题,本文推广了钱伟长在奇异项上叠加普通有限元的方法,使之可用于Ⅰ型、Ⅱ型及Ⅰ、Ⅱ混合型裂纹的应力强度因子的计算;对于弹塑性裂纹问题,本文给出了一种求解平面应变Ⅰ型裂纹近似解析解的方法。

FURTHER EXPLORATION ON THE METHODOLOGY OF ANALYSIS IN SOME ASPECTS OFFRACTURE MECHANICS

A set of analytical approaches are outlined in the present paper for some critical problems in fracture mechanics. Chien Weizang's method, i. e.,a superposition technique of crack tip singularity terms on the conventional finite element displacement modes,is extended to the calculation of stress intensity factors for mode-I, mode I , as well as mixed mode linear elastic fracture problems. For the elastic-plastic crack problems , an approximate closed-form analysis for plane strain, mode-I situation is presented.