Asymptotic expansions for high-contrast linear elasticity

We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2016-03, Vol.295, p.25-34
Main Authors: Poveda, Leonardo A., Huepo, Sebastian, Calo, Victor M., Galvis, Juan
Format: Article
Language:English
Subjects:
Asymptotic expansions
Asymptotic properties
Computation
Convergence
Elasticity
High-contrast coefficients
Highly inelastic inclusion
Linear elasticity problem
Mathematical analysis
Mathematical models
Norms
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Description
Summary:We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H1 norm.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2015.03.021