Uniform Asymptotic Solutions of Two-Dimensional Problems of Elasticity for the Domain Exterior to a Thin Region

DOI10.1137/0144001zbMath0528.73015OpenAlexW1965008984MaRDI QIDQ3309150

Dorel Homentcovschi

Publication date: 1984

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0144001

zbMATH Keywords

momentsconcentrated forcesasymptotic method of Handelsman and Kellerboundary conditions lead to system of linear integral equationsdomain exterior to thin region Dfirst three terms of uniform asymptotic solution for two-dimensional elasticity problemsline inside thin regionperturbation of external fieldpolynomial boundary datasmall parameter epsilon is thinness ratio of Dsuperposition of elastic potentials

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotics of solutions to integral equations (45M05) Elastic materials (74B99)

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