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Analysis of Two-Dimensional Thin Structures (From Micro- to Nano-Scales) Using the Singular Boundary Method
| Content Provider | Semantic Scholar |
|---|---|
| Author | Shen, Dejian |
| Copyright Year | 2015 |
| Abstract | This study investigates the applicability of the singular boundary method (SBM), a recent developed meshless boundary collocation method, for the analysis of two-dimensional (2D) thin structural problems. The troublesome nearly-singular kernels, which are crucial in the applications of SBM to thin shapes, are dealt with efficiently by using a non-linear transformation technique. Promising SBM results with only a small number of boundary nodes are obtained for thin structures with the thickness-to-length ratio is as small as 1E-9, which is sufficient for modeling most thin layered coating systems as used in smart materials and micro-electro-mechanical systems. The advantages, disadvantages and potential applications of the proposed method, as compared with the finite element (FEM) and boundary element methods (BEM), are also discussed. AMS subject classifications: 65N15, 65N38 |
| Starting Page | 597 |
| Ending Page | 609 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.4208/aamm.2013.m454 |
| Volume Number | 7 |
| Alternate Webpage(s) | https://admin.global-sci.org/uploads/Issue/AAMM/v5n7/57_597_short.pdf |
| Alternate Webpage(s) | https://doi.org/10.4208/aamm.2013.m454 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
