孔洞裂纹问题的一种数值方法  

A NUMERICAL APPROACH FOR VOID-CRACK INTERACTION

作　　者：闫相桥[1] 

机构地区：[1]哈尔滨工业大学复合材料研究所,哈尔滨150001

出　　处：《固体力学学报》2006年第2期198-202,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10272037)资助

摘　　要：研究孔洞与裂纹的相互作用问题,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来解决,而利用笔者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孔洞与裂纹的相互作用既简单又有效.This paper studies a general system containing multiple interacting cracks and voids in a plane elastic media. By extending Buecknet＇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 the stress intensity factors （SIFs） can be obtained by considering the latter problem, which can be easily analyzed by means of the Hybrid Displacement Discontinuity Method （HDDM） proposed recently by the author. The numerical results illustrate that the method is very simple, yet accurate for analyzing void-crack interaction in a plane elastic media.

关 键 词：裂纹 孔洞 边界元 应力强度因子 裂尖单元 位移不连续 

分 类 号：O346.1[理学—固体力学]