Definitions
The ray method is used to solve the boundary value problems that lead to the propagation of two-dimensional shock waves in anisotropic plates of constant thickness, taking into account rotatory inertia and transverse shear deformations, as well as the coupling of extensional and transverse vibrational modes.
Introduction
Transient wave propagation in an anisotropic plate was the main topic discussed in Cohen and Thomas (1985). The dynamical behavior of elastic anisotropic plates taking into account rotatory inertia and transverse shear deformations was considered in Mindlin and Spencer (1967), Kaczkowski (1960), and Krasyukov (1966). In particular, differential equations were derived in Mindlin and Spencer (1967) for the coupled extensional and transverse vibrational modes of an anisotropic plate of constant thickness, which have the form of two subsystems: the equations of a...
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References
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Rossikhin, Y.A., Shitikova, M.V. (2019). Plane Transient Waves in Anisotropic Layer, Ray Expansion Approach. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_104-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_104-1
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