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A micromorphic electromagnetic theory
Institution:1. Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan 701, Taiwan;2. Tainan Hydraulics Laboratory, National Cheng Kung University, Tainan 701, Taiwan;1. School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA;2. Ray W. Herrick Laboratories, Purdue University, West Lafayette, IN 47907, USA;1. Mechanical Engineering Department, University of Kansas, 1530 W 15th Street, Learned Hall, Lawrence, KS 66047-7609, United States;2. Civil, Environmental and Architectural Engineering Department, University of Kansas, 1530 W 15th Street, Learned Hall, Lawrence, KS 66045-7609, United States
Abstract:This work is concerned with the determination of both macroscopic and microscopic deformations, motions, stresses, as well as electromagnetic fields developed in the material body due to external loads of thermal, mechanical, and electromagnetic origins. The balance laws of mass, microinertia, linear momentum, moment of momentum, energy, and entropy for microcontinuum are integrated with the Maxwell’s equations. The constitutive theory is constructed. The finite element formulation of micromorphic electromagnetic physics is also presented. The physical meanings of various terms in the constitutive equations are discussed.
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