A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids. (English) Zbl 1446.74123
Summary: In this communication a spectral constitutive equation for nonlinear viscoelastic-electroactive bodies with short-term memory response is developed, using the total stress formulation and the electric field as the electric independent variable. Spectral invariants, each one with a clear physical meaning and hence attractive for use in experiment, are used in the constitutive equation. A specific form for constitutive equation containing single-variable functions is presented, which are easy to analyze compared to multivariable functions. The effects of viscosity and an electric field are studied via the results of boundary value problems for cases considering homogeneous distributions for the strains and the electric field, and some these results are compared with experimental data.
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
| 74D10 | Nonlinear constitutive equations for materials with memory |
Keywords:
nonlinear viscoelasticity; spectral physical invariant; deformation indicator; rate of deformation indicator; total stress formulationReferences:
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