Some group invariant solutions of the two-dimensional elastodynamics problem in linear homogeneous isotropic materials are considered using the group-theoretical method.In the polar coordinate system,three group invar...Some group invariant solutions of the two-dimensional elastodynamics problem in linear homogeneous isotropic materials are considered using the group-theoretical method.In the polar coordinate system,three group invariant solutions are constructed by the invariants of the Lie group,which are admitted by the governing equations for the two-dimensional elastodynamics problem.The graphical figures of the group invariant solutions are presented,and the physical meanings of the group invariant solutions are expounded in some cases.展开更多
文摘Some group invariant solutions of the two-dimensional elastodynamics problem in linear homogeneous isotropic materials are considered using the group-theoretical method.In the polar coordinate system,three group invariant solutions are constructed by the invariants of the Lie group,which are admitted by the governing equations for the two-dimensional elastodynamics problem.The graphical figures of the group invariant solutions are presented,and the physical meanings of the group invariant solutions are expounded in some cases.