WAVE-PROPAGATION SIMULATION IN AN ELASTIC ANISOTROPIC (TRANSVERSELY ISOTROPIC) SOLID

1 January 1988

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 41 (3) , 319-346
https://doi.org/10.1093/qjmam/41.3.319

Abstract

A new formulation for wave-propagation simulation in a transversely isotropic material is presented. A pseudospectral time-integration technique to solve the equation of motion is used, where the propagation is done by a direct expansion of the evolution operator by a Chebycheff polynomial series. Examples of wave propagation in different homogeneous materials and comparison with analytical solutions in the symmetry axis, show that the new method is highly accurate. The present numerical simulation can be very important in determining the solution of elastodynamic problems when the analytical solutions are either very complicated or unknown.

Keywords

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