Strain gradient theory of porous solids with initial stresses and initial heat flux

Dorin Ieşan

doi:10.3934/dcdsb.2014.19.2169

Article Contents

2014, Volume 19, Issue 7: 2169-2187. Doi: 10.3934/dcdsb.2014.19.2169

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Strain gradient theory of porous solids with initial stresses and initial heat flux

Dorin Ieşan^1,

1.
Department of Mathematics, "Al.I. Cuza" University, and Octav Mayer Institute of Mathematics (Romanian Academy), 700508, Iaşi

Received: February 28, 2013

Revised: April 30, 2013

Published: August 2014

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Abstract

In this paper we present a strain gradient theory of thermoelastic porous solids with initial stresses and initial heat flux. First, we establish the equations governing the infinitesimal deformations superposed on large deformations. Then, we derive a linear theory of prestressed porous bodies with initial heat flux. The theory is capable to describe the deformation of chiral materials. A reciprocity relation and a uniqueness result with no definiteness assumption on the elastic constitutive coefficients are presented.

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Mathematics Subject Classification: 74B10, 74B15, 74E20, 74F05, 74H25.

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