Chiang Mai Journal of Science

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Electro/magneto-sensitive elastomers (EMSE) have shown great potentialities as sensors and actuators. Because of the strong electromagnetic-structural coupling and the large deformations they involve, managing the response of such materials should require analytical models and numerical simulation. Mathematical models for EMSE exist. However, their classical formulation turns out to be quite awkward and rather difficult to implement. One of the main concerns is the form of the electromagnetism equations. Indeed, from the continuum physics standpoint, the classical Maxwell's equations obey the Eulerian formalism, which is not well suited for dealing with deformable solids. In this context, this paper presents the Lagrangian electro/magneto-statics and shows the advantages it involves in the study of EMSE.

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