Plane elastic standing waves of finite amplitude |
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| Authors: | M M Carroll |
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| Institution: | (1) Department of Mechanical Engineering, University of California, 94720 Berkeley, Ca., U.S.A. |
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| Abstract: | A plane standing wave solution is obtained for homogeneous, isotropic, incompressible nonlinearly elastic solids. The motion describes the nonlinear interaction of two oppositely propagating, circularly polarized waves. It is used to obtain exact steady state solutions for nonlinear vibrations of a plate and for reflection and transmission of finite amplitude, circularly polarized waves at a plane interface. |
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