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21 July 2004 Generalized multifield Von-Karman equations for large deflection of artificial muscle plates
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Recent advances in manufacturing of multifunctional materials that respond to multi-field excitation have motivated the design and prototyping of sensing and actuating devices for various applications aiming to improve functionality and decrease overall cost. Computer aided design is one of the techniques utilized for achieving these goals. However, it requires the development and integration of behavioral evolution models for the respective materials. This paper addresses the initiation of an effort to develop a computational implementation of a theoretical methodology for describing such systems in a way that allows accurate prediction of their behavior within their state space. Continuum mechanics, irreversible thermodynamics, and electrodynamics are utilized to derive the general four dimensional multiphysics field equations of materials used for artificial muscle applications along with the appropriate constitutive theories. The generalized nonlinear Von-Karman equations expressing the behavior of multi-field artificial muscle-based materials are derived as a special case of electric multi-hygrothermoelasticity developed as the closest theory for modeling the behavior electro-hygro-thermo-elasto-active materials. Numerical solution examples of these equations are presented for the case of an ionic polymeric material structure.
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John G. Michopoulos "Generalized multifield Von-Karman equations for large deflection of artificial muscle plates", Proc. SPIE 5387, Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics, (21 July 2004);

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