In this work the inverse motion problem for electroelasticity is considered. For given loads and boundary conditions, and a given deformed shape of the electro elastic body, the initially unknown undeformed configuration is sought. The boundary-value problem for the inverse motion is obtained by reparameterization of the forward motion equations in terms of the inverse deformation map. In order to account for incompressibility, a mixed formulation is adopted. The finite element method is used to calculate the undeformed configuration for an electro-active gripper application.
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Inverse-Motion-Based Modeling for Electromechanics With Application to Electrostrictive Polyurethane
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Ask, A, Denzer, R, Menzel, A, & Ristinmaa, M. "Inverse-Motion-Based Modeling for Electromechanics With Application to Electrostrictive Polyurethane." Proceedings of the ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 2: Mechanics and Behavior of Active Materials; Integrated System Design and Implementation; Bio-Inspired Materials and Systems; Energy Harvesting. Stone Mountain, Georgia, USA. September 19–21, 2012. pp. 167-173. ASME. https://doi.org/10.1115/SMASIS2012-8049
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