A boundary collocation method is developed for analyzing cracked thin plates. Complex stress functions which satisfy the equilibrium equations of an infinite domain having a single crack are first derived. As the functions have also satisfied the stress singularity at the crack tips, it is only nece
Boundary collocation method for analyzing perforated plate problems
β Scribed by C.W. Woo; L.W.Samson Chan
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 926 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0013-7944
No coin nor oath required. For personal study only.
β¦ Synopsis
The problem of a two-dimensional plate weakened by an array of holes of arbitrary location is analyzed using the M~khelishvili complex variable fo~~a~on and least square boundary collocation method. Several sets of complex stress functions are proposed in this article in solving the perforated plate problem with and without the interaction effect between holes and crack. In addition, the method has been extended to the problem of cracks emanating from one of the holes in a perforated plate. The results in this article compare favorably with the existing solutions.
π SIMILAR VOLUMES
## Abstract This work introduces the weighted radial basis collocation method for boundary value problems. We first show that the employment of leastβsquares functional with quadrature rules constitutes an approximation of the direct collocation method. Standard radial basis collocation method, how
Singularly perturbed boundary value problems often have solutions with very thin layers in which the solution changes rapidly. This paper concentrates on the case where theses layers occur near the boundary, although our method can be applied to problems with interior layers. One technique to deal w
In this paper we implement a spectral method for solving initial boundary value problems which is in between the Galerkin and collocation methods. In this method the partial differential equation and initial and boundary conditions are collocated at an overdetermined set of points and the approximat