TY - JOUR
T1 - Some Invariant Solutions of Two-Dimensional Elastodynamics in Linear Homogeneous Isotropic Materials
AU - Li , Houguo
AU - Huang , Kefu
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 212
EP - 221
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1257
UR - https://global-sci.org/intro/article_detail/aamm/66.html
KW - Elastodynamics
KW - group theoretical method, invariant solution.
AB - <p style="text-align: justify;">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.</p>