A thick-point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis. - Institut Camille Jordan Accéder directement au contenu
Article Dans Une Revue Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Année : 2021

A thick-point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis.

Résumé

The present paper proposes an approximation of the influence of a small inclusion, having different stiffness, in an elastic medium restricting its cinematics to a finite dimensional space. The problem, for the unknown displacement, is written in accordance of transmission conditions between elastic medium and inclusion. The multi-scale asymptotic expansions techniques, by using some corrective terms, are introduced to model the inclusion influence in both initial and approximated problems. Finally, some error estimates for asymptotic expansions are presented and different strategies are compared.
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Dates et versions

hal-02886370 , version 1 (01-07-2020)

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Arnaud Heibig, Nidhal Mannai, Adrien Petrov, Yves Renard. A thick-point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis.. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021, 101 (10), pp.e202000170. ⟨10.1002/zamm.202000170⟩. ⟨hal-02886370⟩
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