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闫相桥. 平面弹性介质多孔多裂纹问题的一种数值方法[J]. 力学学报, 2004, 36(5): 604-610. DOI:10.6052/0459-1879-2004-5-2004-061
引用本文: 闫相桥. 平面弹性介质多孔多裂纹问题的一种数值方法[J]. 力学学报, 2004, 36(5): 604-610.DOI:10.6052/0459-1879-2004-5-2004-061
A numerical method for analyzing multiple void-crack interaction in a plane elastic media[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(5): 604-610. DOI:10.6052/0459-1879-2004-5-2004-061
Citation: A numerical method for analyzing multiple void-crack interaction in a plane elastic media[J].Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(5): 604-610.DOI:10.6052/0459-1879-2004-5-2004-061

平面弹性介质多孔多裂纹问题的一种数值方法

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

  • 摘要: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.

    Abstract:This paper presents an approach to modeling a generalsystem containing multiple interacting cracks and voids in a plane elasticmedia. By extending Bueckner's principle suited for a crack to a generalsystem containing multiple interacting cracks and voids, the originalproblem is divided into a homogeneous problem (the one without cracks andvoids) subjected to remote loads and a multiple void-crack problem in anunloaded body with applied tractions on the surfaces of cracks and voids.Thus, the results in terms of stress intensity factors (SIFs) can beobtained by considering the latter problem, which is analyzed easily bymeans of the Hybrid Displacement Discontinuity Method (HDDM) proposedrecently by the author. Many test examples are included to illustrate thatthe method is very simple and effective for analyzing arbitrarymultiple cracks and voids in a plane elastic media.

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