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Proceedings Paper

Constitutive relations for finite deformations of transversely isotropic piezoelectric porous materials
Author(s): Romesh C. Batra; J. S. Yang
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Paper Abstract

Based on the theory of invariants, polynomial constitutive relations for transversely isotropic piezoelectric porous materials are derived from the polynomial integrity bases for an energy density function depending on the strain tensor, porosity gradient and the electric field. They are assumed to be smooth functions of their arguments, are expanded about the values their arguments take in the reference configuration and all terms up to the quadratic terms in the gradients of the mechanical displacement, the electric potential and the change in volume fraction are kept. The second order constitutive relations so obtained are then specialized to the case of infinitesimal deformations and weak electric fields, and also to the case of infinitesimal deformations and strong electric fields.

Paper Details

Date Published: 5 May 1995
PDF: 9 pages
Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); doi: 10.1117/12.208867
Show Author Affiliations
Romesh C. Batra, Virginia Polytechnic Institute and State Univ. (United States)
J. S. Yang, Rensselaer Polytechnic Institute (United States)


Published in SPIE Proceedings Vol. 2442:
Smart Structures and Materials 1995: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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