An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities

Elena Beretta; Elisa Francini

doi:10.1137/050648596

An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities

Elena Beretta, Elisa Francini

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a plane isotropic homogeneous elastic body with thin elastic inhomogeneities in the form of small neighborhoods of simple smooth curves. We derive a rigorous asymptotic expansion of the boundary displacement field as the thickness of the neighborhoods goes to zero.

Original language	English (US)
Pages (from-to)	1249-1261
Number of pages	13
Journal	SIAM Journal on Mathematical Analysis
Volume	38
Issue number	4
DOIs	https://doi.org/10.1137/050648596
State	Published - 2006

Keywords

Asymptotic formulas
Lamé system
Thin inhomogeneities

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/050648596

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abstract = "We consider a plane isotropic homogeneous elastic body with thin elastic inhomogeneities in the form of small neighborhoods of simple smooth curves. We derive a rigorous asymptotic expansion of the boundary displacement field as the thickness of the neighborhoods goes to zero.",

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KW - Lamé system

KW - Thin inhomogeneities

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An asymptotic formula for the displacement field in the presence of thin elastic inhomogeneities

Abstract

Keywords

ASJC Scopus subject areas

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