We present asymptotic approximations of Green's kernels for operators of linear elasticity in planar and three dimensional domains containing small subdomains, with either Neumann or Dirichlet boundary conditions whic~ correspond to solids with voids or rigid inclusions. The main feature of these approximations is their uniformity with respect to the independent variables. The asymptotic formulae are supplied with rigorous remainder estimates. We present numerical experiments, comparing the asymptotic approximations and finite element numerical simulations, which show the effectiveness of our approach.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:486934 |
| Date | January 2007 |
| Creators | Nieves, Michael John |
| Publisher | University of Liverpool |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
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