主要期刊论文

Modeling complex crack problems using the numerical manifold method




作者: G.W Ma, XM An, HH Zhang, LX Li
发表/完成日期: 2009-08-18
期刊名称: International Journal of Fracture
期卷: 156
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论文简介
In the numerical manifold method, there
are two kinds of covers, namely mathematical cover and physical cover. Mathematical covers are independent of the physical domain of the problem, over which
weight functions are defined. Physical covers are the intersection of the mathematical covers and the physical domain, overwhich cover functions with unknowns to be determined are defined. With these two kinds of covers, the method is quite suitable for modeling discontinuous problems. In this paper, complex crack problems such as multiple branched and intersecting cracks are studied to exhibit the advantageous features of the numerical manifold method. Complex displacement discontinuities across crack surfaces are modeled by different cover functions in a natural and straightforward manner. For the crack tip singularity, the asymptotic near tip field is incorporated to the cover function of the singular physical cover. By virtue of the domain form of the interaction integral, the mixed mode stress intensity factors are evaluated for three typical examples. The excellent results showthat the numerical manifold method is prominent in modeling the complex crack problems.