拉载下环向穿透裂纹位于圆柱壳固定端的弹塑性解

Elastic-plastic solutions for circumferential through-cracks at the fixed end of cylindrical shells loaded by tension

基于薄壳半膜力理论和Dugdale模型,针对环向穿透裂纹位于其固定端的圆柱壳,推导了其在轴拉载荷作用下的裂纹尖端张开位移(CTOD)、J积分、由裂纹所引起的附加变形等一套相对完整的弹塑性解。除少数数值求根外,均为显式计算,并可涵盖塑性破坏。该解可方便地用于不同断裂参数、裂纹长度以及几何参数的系列计算,弥补了目前缺乏本问题理论解析解的不足。

According to the semi-membrane theory of cylindrical shells and by the application of Dugdale model,a set of complete elastic-plastic solutions are developed for circumferential through-cracks at the fixed end of cylindrical shells loaded by tension.Solutions include the crack tip opening displacement(CTOD),the J-integral and the effects of the crack on the compliance of the cylinder.Except a few numerical root-finding calculations,the proposed solutions are obtained mostly by explicit equations and valid for the full plasticity on the crack section.This method has filled the gap of analytical solution to such problems which can be used for the series calculation of different fracture parameters,crack lengths and geometric parameters.