Conservation laws in linear elasticity based upon divergence transformations |
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Authors: | T J Delph |
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Institution: | (1) Department of Mechanical Engineering and Mechanics, Lehigh University, 18015 Bethlehem, PA, U.S.A. |
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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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