关于含裂纹的复合材料的一个细观断裂模型

本文研究复合材料的小范围屈服断裂过程.首先,提出了含裂纹复合材料的一个细观断裂模型,其中对裂纹顶端的外部地区采用连续介质各向异性描述,对裂纹顶端的小范围地区则采用多相的描述.多相区中考虑三种材料成分,即纤维、界面和基体,它们都可被看作是非线性的,并计入有限变形的影响.我们应用边界层——非线性有限元方法作出本问题的解.     

论三维非线性断裂动力学中的路径无关积分

本文讨论三维非线性断裂动力学中的路径无关积分,它是文[4]关于二维情况结果的拓充.在研究三维非线性固体中埋藏裂纹或表面裂纹的动力传播问题中,这种拓充是必要的.固体介质是非线性弹性的或弹塑性的的情况均被加以考虑,并作出了相应的向量型路径无关积分.解释了这种路径无关积分的力学意义,它被证明联系于动力裂纹扩展力,因而,它们可用于构作非线性断裂动力学中的断裂准则.     

On path-independent integrals in three-dimensional nonlinear fracture dynamics

This paper deals with the path-independent integrals in non-linear three-dimensional fracture dynamics.Both the nonli-near elastic case and the elastic-plastic case are considered,and some path-independent integrals have been worked out.Forexplaining the physical meaning of these integrals,a speci-men with plane notch is considered,and the relation betweenthe integral and dynamical crack extension force is establish-ed.Thus.such integrals may serve as a fracture criterionin nonlinear fracture dynamics.