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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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journal contribution
posted on 02.03.2012, 00:00 by T. C. T. Ting
It is shown that there are anisotropic elastic materials that are capable of a nonuniform 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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NOTICE: this is the author’s version of a work that was accepted for publication in Wave Motion. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Wave Motion, 49(1): 217-220:DOI: 10.1016/j.wavemoti.2011.09.001







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