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Are Field Derivatives Needed in Linear Constitutive Relations?
Authors:A Lakhtakia and W S Weiglhofer
Institution:(1) CATMAS - Computational and Theoretical Materials Sciences Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, Pennsylvania, 16802-1401, U.S.A.;(2) Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Great Britain
Abstract:General linear constitutive relations need not contain any dependence on field derivatives, and the standard boundary conditions need not be modified. We show that the answer to the question asked as the title of this communication is therefore in the negative.
Keywords:Constitutive relations  Linear material  Non-local material  Nonhomogeneous material  Aging material  Microphysical electromagnetism  Boundary conditions
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