Structural stability in porous elasticity-Reference-Cited by-同舟云学术

Structural stability in porous elasticity

Published:2006-03-30 Issue:2073 Volume:462 Page:2593-2605
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Chiriţă S¹,Ciarletta M²,Straughan B³

Affiliation:

1. Faculty of Mathematics, Al. I. Cuza University700506 Iaşi, Romania

2. Department of Engineering Information and Applied Mathematics, University of Salerno84084 Fisciano (SA), Italy

3. Department of Mathematical Sciences, Durham UniversityDurham DH1 3LE, UK

Abstract

We consider the linearized system of equations for an elastic body with voids as derived by Cowin & Nunziato. We demonstrate that the solution depends continuously on changes in the coefficients, which couple the equations of elastic deformation and of voids. It is also shown that the solution to the coupled system converges, in an appropriate measure, to the solutions of the uncoupled systems as the coupling coefficients tend to zero.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2006.1695

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