Transient waves in inhomogeneous anisotropic elastic plates |
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| Authors: | Prof. H. Cohen R. S. D. Thomas |
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| Affiliation: | (1) Department of Civil Engineering, University of Manitoba, Winnipeg, Manitoba, Canada;(2) Departments of Applied Mathematics and Mechanical Engineering, University of Manitoba, Winnipeg, Manitoba, Canada |
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| Abstract: | Summary This paper considers the problem of transient wave propagation in elastic Cosserat plates that may be anisotropic, inhomogeneous, or of variable thickness. The methods of rays and of singular wave curves are combined to find and integrate the transport equations governing growth-decay behaviour of the extensional and bending wave modes to derive a common general formula involving the material parameters and wave geometry. For inhomogeneous isotropic plates of variable thickness, conditions for the uncoupling of the wave modes are obtained and some special cases are worked out in detail. |
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