Upper bound on wave speeds in anisotropic materials based on elastic projection operators Online publication date: Thu, 08-Jan-2009
by Q.H. Zuo
International Journal of Theoretical and Applied Multiscale Mechanics (IJTAMM), Vol. 1, No. 1, 2009
Abstract: An upper bound on the speeds of waves propagating along an arbitrary direction in an elastic material with general anisotropy has been developed from an additive decomposition of the acoustic tensor. Several examples of materials with different elastic symmetries (cubic, tetragonal) are presented. A validation is provided by comparing the upper bounds for copper and tin crystals with numerical solutions of the eigenvalue problems.
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