平面弹性介质多孔多裂纹问题的一种数值方法

提出了平面弹性介质中多孔洞多裂纹相互作用问题的一种数值计算方 法. 通过把适于单一裂纹的Bueckner原理扩充到含有多孔洞多裂纹的一般体系，将原问题 分解为承受远处载荷不含裂纹不含孔洞的均匀问题，和在远处不承受载荷但在裂纹面上和孔 洞表面上承受面力的多孔洞多裂纹问题. 于是，以应力强度因子作为参量的问题可以通过考 虑后者(多孔洞多裂纹问题)来解决，而利用提出的杂交位移不连续法，这种多孔 洞多裂纹问题是容易数值求解的. 算例说明该数值方法对分析平面弹性介质中多孔洞多裂纹 相互作用的问题既简单又有效.

A numerical method for analyzing multiple void-crack interaction in a plane elastic media

This paper presents an approach to modeling a general system containing multiple interacting cracks and voids in a plane elastic media. By extending Bueckner's principle suited for a crack to a general system containing multiple interacting cracks and voids, the original problem is divided into a homogeneous problem (the one without cracks and voids) subjected to remote loads and a multiple void-crack problem in an unloaded body with applied tractions on the surfaces of cracks and voids. Thus, the results in terms of stress intensity factors (SIFs) can be obtained by considering the latter problem, which is analyzed easily by means of the Hybrid Displacement Discontinuity Method (HDDM) proposed recently by the author. Many test examples are included to illustrate that the method is very simple and effective for analyzing arbitrary multiple cracks and voids in a plane elastic media.