非线性裂纹扩展分析(一)

Nonlinear Analysis on the Crack Extension (Par One)

应用可动边界的变分问题,研究了非线性弹性理论的裂纹扩展。根据能量泛函的驻值条件,建立了任意元素的围道积分定理,由围道积分定理可求得裂纹边界的能量;并通过能量泛函数二阶变分,得到了亚临界裂纹扩展条件及临界裂纹扩展条件。

With the variational principle of variable boundary, we study the crack extension on nonlinear elasto-plastic conditions. Based on the stationary condition of energy functional we get the energy release quantity along the boundary, and with the second variation of energy functional we obtain the sub-critical and critical conditions of crack extension