When electrically stimulated, electroactive polymers (EAPs) respond with mechanical deformation. The goal of this work is to design electrode and EAP layouts simultaneously in structures by using density-based, multi-material topology optimization. In this novel approach the layout of electrodes and EAP material are not given a priori but is a result from the topology optimization. Material interpolation based on exponential functions is introduced, allowing a large flexibility to control the material interpolation. The electric field in the surrounding free space is modeled using a truncated extended domain method. Numerical examples that demonstrates the method's ability to design arbitrary EAP and electrode layouts are presented. In these optimized structures, electrode material is continuously connected from the electrical sources to opposite sides of the EAP material and thereby concentrating the electric field to the EAP material which drives the deformation.

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