期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 46, 期 10, 页码 1315-1323出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2011.06.010
关键词
Invariants; Electra-sensitive materials; Constitutive restrictions; Nonlinear elasticity; Transversely isotropic materials
类别
资金
- Fondecyt (Chile) [11085024]
- Ministerio de Ciencia e Innovacion in Spain [DPI2008-03769]
A constitutive framework for electro-sensitive materials in the context of non-linear elasticity is analyzed. Constitutive equations are given in terms of energy functions that depend on several invariants. The study includes both the analysis of the invariants, which are present in the energy functions, and the analysis of constitutive restrictions that have to be obeyed by the constitutive functions. Isotropic as well as non-isotropic electro-sensitive elastomers are studied. The set of invariants that describe each material model is analyzed under two homogeneous deformations: (i) an uniaxial elongation and (ii) a simple shear deformation. These deformations are chosen since they are relevant to specific experiments, from which one may try to fit constitutive equations. The constitutive restrictions developed are based on classical ones used for isotropic non-linear elastic materials, in particular, are based on the Baker-Ericksen inequality and the ellipticity condition. (C) 2011 Elsevier Ltd. All rights reserved.
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