基于扩展有限元研究非均质材料的应力强度因子

Investigation of Stress Intensity Factors for Nonhomogeneous Materials Using Extended Finite Element Method

用含裂纹尖端增强函数的扩展有限元借助相互作用积分,研究静态载荷作用下颗粒增强复合材料的断裂行为。假定基体和颗粒都是弹性材料,研究不同颗粒位置对基体裂纹尖端的应力强度因子的影响。用MATLAB编程,数值模拟了中心裂纹,单边裂纹扩展和孔边裂纹扩展,含刚性颗粒和柔性颗粒时裂纹尖端不同的应力强度因子或能量释放率的变化。

The extended finite element meth6d （XFEM） containing crack tip enhancement function is used to study the fracture behavior of particle filled composites under static loading with the help of interaction integration. In this paper both the matrix and particles are supposed to be elastic materials. Based on this assumption the effect of parti- cles＇ location on the stress intensity factor is discussed. In addition both the fixed crack and crack propagation are modeled by the commercial software MATLAB. The model with rigid particles and the model with flexible particles are considered respectively and their analysis indicate that the variation of stress intensity factor and the variation of energy release rate for the model with rigid particles are both respectively different from those for the model with flexible particles.