Thermodynamics of inhomogeneous ferroelectrics

Maugin, Gerard; Restuccia, Liliana

doi:10.2140/jomms.2008.3.1113

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Thermodynamics of inhomogeneous ferroelectrics

Gerard A. Maugin and Liliana Restuccia

Vol. 3 (2008), No. 6, 1113–1123

DOI: 10.2140/jomms.2008.3.1113

Abstract

In a previous paper within the framework of the theory of inhomogeneities, the balance law of the so-called pseudomomentum for ferroelectrics was worked out exploiting the presence of material forces. Electric polarization density per unit mass and its gradient were introduced as state variables in the state vector. In this paper, starting from the pseudomomentum balance equation, we construct, in a systematic way, the material energy balance law for ferroelectrics which plays a crucial role in applications related to the study of fracture.

Keywords

Eshelbian mechanics, material inhomogeneities, fracture mechanics

Milestones

Received: 13 March 2008

Accepted: 26 April 2008

Published: 1 August 2008

Authors

Gerard A. Maugin
Université Pierre et Marie Curie Institut Jean Le Rond d’Alembert Case 162 4 place Jussieu 75252 Paris Cedex 05 France

Liliana Restuccia
Università di Messina Dipartimento di Matematica Contrada Papardo, Salita Sperone 31 98166 Sant’ Agata, Messina Italy

Vol. 3, No. 6, 2008

Gerard A. Maugin and Liliana Restuccia

Abstract

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