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Conservation laws in linear elasticity based upon divergence transformations
Authors:T J Delph
Institution:(1) Department of Mechanical Engineering and Mechanics, Lehigh University, 18015 Bethlehem, PA, U.S.A.
Abstract:The existence of conservation laws in linear elasticity based upon divergence transformations of the Lagrangian density function is investigated. It is found that there exist a set of conservation laws which correspond to infinitesimal homogeneous perturbations of the strain and velocity fields. These conservation laws have a unique feature not shared by other conservation laws in linear elasticity in that they contain an arbitrary free parameter.
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