Multigrid methods for the computation of singular solutions and stress intensity factors III: interface singularities
โ Scribed by Susanne C. Brenner; Li-yeng Sung
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 204 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
โฆ Synopsis
It is shown in this paper that two-dimensional interface problems with large jumps in the coefficients can be solved effectively by the piecewise linear finite element method on quasi-uniform grids. This is achieved by combining the full multigrid methodology, the singular function representation of the solution and the extraction formulas for stress intensity factors. The robustness of the algorithm is demonstrated by numerical experiments.
๐ SIMILAR VOLUMES
The method of singular integral equations has become a classical method for solving plane and antiplane, static and dynamic crack problems in isotropic and anisotropic elasticity, particularly in cases where no closed-form solutions are available. In this paper, very simple methods are suggested for
As is well-known, an efficient numerical technique for the solution of Cauchy-type singular integral equations along an open interval consists in approximating the integrals by using appropriate numerical integration rules and appropriately selected collocation points. Without any alterations in thi