The insurgence of compression induces wrinkling in actuation devices based on EAPs thin films leading to a sudden decrease of performances up to failure. Based on the classical tension field theory for thin elastic membranes (e.g.[11]), we provide a general framework for the analysis of the insurgence of in-plane compression in membranes of electroactive polymers (EAPs). Our main result is the deduction of a (voltage-dependent) domain in the stretch space which represents tensile configurations. Under the assumption of Mooney-Rivlin materials, we obtain that for growing values of the applied voltage the domain contracts, vanishing at a critical voltage above which the polymer is wrinkled for any stretch configuration. Our approach can be easily implemented in numerical simulations for more complex material behaviors and provides a tool for the analysis of compression instability as a function of the elastic moduli.Keywords: actuators, electroactive polymers (EAP), compression instability, non-linear elasticity.The growing interest in electroactive polymers as actuator devices, ranging from medical, biological, robotic, and energy harvesters, results from their qualities such as lightweight, small size, low-cost, flexibility, fast response [8,7,3]. A typical device consists of a thin sheet of electroactive polymer sandwiched between two compliant electrodes. The simple mechanism of actuation releases on an electromechanical coupling of the Coulomb forces acting between the electrodes and the elastic forces inside the layer. The electrostatic forces acting on the sheet faces induce a transversal extension that is used as a mean of actuation.In this paper we are mainly concerned with compression induced insta-