Commonly-used dielectric elastomers are known to be affected by dissipative processes such as viscoelasticity and current leakage, which adversely affect their performance. In this manuscript published in International Journal of Applied Mechanics, we present a theory to model dissipative dielectric elastomers. This model is implemented in a commercial finite element solver ABAQUS by developing new user-defined elements. Our finite-element implementation will serve as a simulation platform to guide the design of practical dielectric elastomer transducers.