Finite Element Analysis of the Electromagnetics of Continuum
Shuaiqi Song, Lijie Grace Zhang, James D. Lee*
Department of Mechanical and Aerospace Engineering, The George Washington University, Washington, DC, USA
* Corresponding Author: James D. Lee. Email: 
Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2026.080567
Received 12 February 2026; Accepted 27 April 2026; Published online 18 May 2026
Abstract
The theory of thermomechanical-electromagnetic coupling was constructed. The finite element analysis of thermo-visco-elastic-plastic-electromagnetic continuum was formulated. Then the problem of wave propagation in this continuum was solved in two stages. In Stage I, a nearly static thermomechanical solution of a hollow cylinder, subject to twist and temperature gradient, was obtained. Then, in Stage II, the problem of wave propagation of scalar and vector potentials, due to deformation and temperature gradient, was solved. In the second approach, in Stage I, the static electric field and static magnetic field are obtained through static scalar and vector potentials, then in Stage II, the dynamic solutions of temperature, plastic strains, von Mises stress, and current were solved.
Keywords
Electromagnetics of continuum; finite element formulation; constitutive theory; thermo-visco-elastic-plastic-electromagnetic material; geometrically nonlinear; scalar and vector potentials
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