Vol. 3, No. 6, 2008

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Thermodynamics of inhomogeneous ferroelectrics

Gerard A. Maugin and Liliana Restuccia

Vol. 3 (2008), No. 6, 1113–1123

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.

Eshelbian mechanics, material inhomogeneities, fracture mechanics
Received: 13 March 2008
Accepted: 26 April 2008
Published: 1 August 2008
Gerard A. Maugin
Université Pierre et Marie Curie
Institut Jean Le Rond d’Alembert
Case 162
4 place Jussieu
75252 Paris Cedex 05
Liliana Restuccia
Università di Messina
Dipartimento di Matematica
Contrada Papardo, Salita Sperone 31
98166 Sant’ Agata, Messina