Boundary-Value Dynamic Problems of Thin Bodies, Ray Expansion Approach
The nonstationary boundary-value problems of thin bodies are those connected with the transient wave propagation in thin bodies in the form of wave surfaces of strong or weak discontinuities generated by the external excitation.
It is known that the models of thin bodies based on the Kirchhoff-Love hypothesis allow one to achieve reasonable accuracy when solving a set of practical problems. However, in some cases this scheme is found to be incomplete. This is particularly true for the dynamic processes in thin bodies connected with the propagation of strain waves. The case in point is the deformation excited by impact or otherwise way in a certain zone of the thin body and subsequently imparted to different directions along its middle surface by means of wave motions. In this case, being within the limits of the classical Kirchhoff-Love concepts and having...
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