Nonlinear magnetoelastostatics: Energy functionals and their second variations
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2013Metadata
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Bustamante Plaza, Roger
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Nonlinear magnetoelastostatics: Energy functionals and their second variations
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Abstract
Two variational principles for nonlinear magnetoelastostatics are studied, considering a magnetosensitive body completely
surrounded by free space extending to infinity. The functionals depend on the deformation function as one of
the independent variables, and on either the scalar magnetic potential or the magnetic vector potential as the independent
magnetic variable. Alternative representations for the energy densities are given for free space, from which simple
expressions for the first and second variations of the functionals are obtained.
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Artículo de publicación ISI
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Mathematics and Mechanics of Solids 18(7): 760–772
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