TY - JOUR
T1 - Wave-propagation simulation in an elastic anisotropic (transversely isotropic) solid
AU - Carcione, J. M.
AU - Kosloff, D.
AU - Kosloff, R.
PY - 1988/8
Y1 - 1988/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=77957208007&partnerID=8YFLogxK
U2 - 10.1093/qjmam/41.3.319
DO - 10.1093/qjmam/41.3.319
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AN - SCOPUS:77957208007
SN - 0033-5614
VL - 41
SP - 319
EP - 346
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
IS - 3
ER -