| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Group Invariant Solutions of the Two-Dimensional Elastodynamics Problem in the Polar Coordinate System |
| LI Hou-Guo, HUANG Ke-Fu** |
| Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871 |
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| Cite this article: |
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Abstract 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.
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Received: 24 April 2012
Published: 31 July 2012
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| PACS: |
46.05.+b
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(General theory of continuum mechanics of solids)
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02.20.Sv
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(Lie algebras of Lie groups)
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