One-dimensional nonlinear model of generalized thermo-electroelasticity

Abstract We investigate a one-dimensional restriction of nonlinear model thermo-electroelasticity in extended thermodynamics and the quasi-electrostatic regime (see Ghaleb et al. Int J Eng Sci 119:29–39, 2017. https://doi.org/10.1016/j.ijengsci.2017.06.010 ). An additional dependence thermal conductivity relaxation time on temperature heat flux is introduced. The aim present work to assess effect some quadratic couplings between mechanical, electric fields. Such are known have crucial stability solutions. It confirmed that there two speeds wave propagation disturbances, coupled thermoelastic wave. Formulae provided for both speeds, showing their explicit temperature, field. purely case briefly considered. results may be useful description broad range interactions large polarizable slabs electro-thermoelastic materials design such materials.