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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. [ABSTRACT FROM AUTHOR]

Dielectric polymers show complex mechanical behaviors with different boundary conditions, geometry size and pre-stress. A viscoelastic model suitable for inhomogeneous deformation is presented integrating the Kelvin-Voigt model in a new form in this work. For different types of uniaxial tensile test loading along the length direction of sample, single-step-relaxation tests, loading–unloading tests and tensile–creep–relaxation tests the improved model provides a quite favorable comparison with the experiment results. Moreover, The mechanical properties of test sample with several length–width ratios under different boundary conditions are also invested. The influences of the different boundary conditions are calculated with a stress applied on the boundary point and the result show that the fixed boundary will increase the stress compare with homogeneous deformation. In modeling the effect of pre-stress in the shear test, three pre-stressed mode are discussed. The model validation on the general mechanical behavior shows excellent predictive capability. [ABSTRACT FROM AUTHOR]