Anisotropic elastic materials capable of a three-dimensional deformation (static or dynamic) with only one displacement component and uncoupling of all three displacement components |
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Authors: | TCT Ting |
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Institution: | Emeritus of University of Illinois at Chicago, United States Division of Mechanics and Computation, Stanford University, Durand 262, Stanford, CA 94305, United States |
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Abstract: | It is shown that there are anisotropic elastic materials that are capable of a non-uniform three-dimensional deformation with only one displacement component. For wave propagation, the equation of motion can be cast in the form of the differential equation for acoustic waves. For elastostatics, the equation of equilibrium reduces to Laplace’s equation. The material can be monoclinic, orthotropic, tetragonal, hexagonal or cubic. There are also anisotropic elastic materials that uncouple all three displacement components. The governing equation for each of the uncoupled displacement can be cast in the form of the differential equation for acoustic waves in the case of dynamic or Laplace’s equation in the case of static. The material can be orthotropic, tetragonal, hexagonal or cubic. |
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Keywords: | Wave propagation Elastostatics One-component displacement Uncoupling of all three displacements Anisotropic elastic materials Acoustic waves |
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