A generalized strain model for spectral rate-dependent constitutive equation of transversely isotropic electro-viscoelastic solids

We model the constitutive equation for nonlinear electro-viscoelastic transversely isotropic solids with short term memory via a generalized strain method, where the method is a change with respect to the methods that have been done in the last decades regarding mechanics of nonlinear solids. Our generalized strain model uses spectral invariants with a clear physical interpretation and hence they are attractive for use in experiments. The constitutive equation contains single-variable functions, which are easy to deal with when compared to multivariable functions. The effects of viscosity and electric fields are analysed via the boundary value problem results. The efficacy the proposed prototype is scrutinized by comparing our theory with experimental data.