Impedance operator of a curved thin layer in linear elasticity with voids-Reference-Cited by-同舟云学术

Impedance operator of a curved thin layer in linear elasticity with voids

Published:2024-04-12 Issue:12 Volume:47 Page:10137-10156
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Abdallaoui Athmane¹^ORCID,Berkani Amirouche²^ORCID,Kelleche Abdelkarim³^ORCID

Affiliation:

1. Laboratoire de Mathématiques et Physique Appliquées École Normale Supérieure de Bou Saâda Bou Saâda Algeria

2. Faculty of Sciences and Applied Sciences University Akli Mohand Oulhadj of Bouira Bouira Algeria

3. Faculté des Sciences et de la technologie Université Djilali Bounaâma Soufay, Khemis Miliana Algeria

Abstract

We consider a two‐dimensional transmission problem of linear elasticity with voids in a fixed domain coated by a curved thin layer . Our aim is to model the effect of the thin layer on the fixed domain by an impedance boundary condition. For that, we use the techniques of asymptotic expansion to approximate the transmission problem by an impedance problem set in the fixed domain , and we prove an error estimate for the approximate impedance problem.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10114

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