固体的断裂分析

ANALYSIS OF FRACTURES FOR NONLINEAR SOLIDS

用能量泛函变分理论分析了断裂问题 ,建立了非线性固体任意元素的边界变分定理 ,即裂纹扩展时 ,处于动力平衡状态的条件。由此求得动态裂纹扩展时 ,沿裂纹边界的能量释放量和能量释放率 (动态裂纹扩展力 )。

Fractures are analysed with the variational problem of energy functional and the boundary variational theorem of an arbitrary element for nonlinear solids is established, i.e.the equilibrium condition on the dynamics for the crack extension. Based on the boundary variational theorem, the energy release quantity and energy release rate(dynamical crack extension force) along the crack boundary are obtained.