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Title: Uniform asymptotic approximations of Green's tensors for perforated elastic bodies
Author: Nieves, Michael John
ISNI:       0000 0001 3446 7176
Awarding Body: University of Liverpool
Current Institution: University of Liverpool
Date of Award: 2007
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available