Some Invariant Solutions of Two-Dimensional Elastodynamics in Linear Homogeneous Isotropic Materials
Year: 2013
Author: Houguo Li, Kefu Huang
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 212–221
Abstract
Invariant solutions of two-dimensional elastodynamics in linear homogeneous isotropic materials are considered via the group theoretical method. The second order partial differential equations of elastodynamics are reduced to ordinary differential equations under the infinitesimal operators. Three invariant solutions are constructed. Their graphical figures are presented and physical meanings are elucidated in some cases.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m1257
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 212–221
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Elastodynamics