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An electro-mechanically coupled visco-hyperelastic-plastic constitutive model is established in this work to describe the cyclic deformation of dielectric elastomers (DEs) by addressing the significant ratchetting and cyclic stress-softening behaviors of DEs resulting from the coupled visco-hyperelasticity, plasticity and electro-mechanical effects. First, a visco-hyperelastic-plastic constitutive model is constructed in the framework of large deformation to incorporate the visco-hyperelasticity and plasticity of DEs, simultaneously. The typical Ogden's formulation is employed for the description of basic hyperelastic response; multiple relaxation mechanisms are adopted to capture the time-dependent viscoelastic part; and a finite plastic flow rule based on the arc-length description is proposed to describe the plastic one. Then, within the framework of nonlinear electro-mechanically coupling approach and by assuming quasi …