A visco-hyperelastic model characterizing the electromechanical behavior of nonhomogeneous soft material

In this work, a model is proposed extending the basic concept of particle of continuum mechanics combining the distribution of polymer chain. Particularly, the general mechanical behavior of complex system, including complex geometry of interface and material defect, can be described by the local distribution of polymer chain. Furthermore, the local density of the polymer chain derived from the Gaussian statistics has been introduced and related to the electromechanical behavior. When the system is in thermodynamic equilibrium, the free surface charge density is modified according to the external voltage and deformation. The total stress field, which includes the electrical effect, has emerged as a function of deformation and time history. Eventually, the model is fitted to experimental data available in the literature.