A special sensor/actuator device based on dielectric elastomer (DEA) was studied and specialized to be used in applications for the space in the frame of the European Space Agency. The work illustrates the research project modeling procedure adopted to simulate the mechanical behavior of this material based on a finite element theory approach. The Mooney-Rivlin's hyperelastic and Maxwell's electrostatic models provide the theoretical basis to describe its electro-mechanic behavior. The validation of the procedure is performed through a numerical-experimental correlation between the response of two prototypes of sensor/actuator developed by the Risø Danish research center and the 3D finite element model simulations. An investigation concerning a possible application in the space environment of DEA actuators is also presented.