5 May 1995 Constitutive relations for finite deformations of transversely isotropic piezoelectric porous materials
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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.
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Romesh C. Batra, Romesh C. Batra, J. S. Yang, J. S. Yang, } "Constitutive relations for finite deformations of transversely isotropic piezoelectric porous materials", Proc. SPIE 2442, Smart Structures and Materials 1995: Mathematics and Control in Smart Structures, (5 May 1995); doi: 10.1117/12.208867; https://doi.org/10.1117/12.208867
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