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Modeling complex crack problems using the numerical manifold method
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- Modeling complex crack problems using the numerical manifold method
- 发表刊物：
- International Journal of Fracture
- 摘要：
- 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.
- 合写作者：
- G.W Ma, XM An, HH Zhang, LX Li
- 卷号：
- 156
- 页面范围：
- 21-35
- 是否译文：
- 否
- 发表时间：
- 2009-08-18
