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Dispersive and Dissipative Effects During the Propagation of Plane Shear Waves in Plates which Interact with Linear Elastic and Nonlinear Elastic Foundations

  • Vladimir I. Erofeev,
  • Daniil A. Butygin,
  • Maksim I. Korsakov,
  • Alexey O. Malkhanov

摘要

The dynamics of a viscoelastic plate which lies on a nonlinear elastic foundation, the dynamics of a linear elastic plate interacting with a viscoelastic medium and the dynamics of a linear elastic plate lying on a nonlinear viscous foundation, as well as the dynamics of a nonlinear elastic plate which lies on a periodically inhomogeneous foundation are considered. Such models can describe the behavior of elements of engineering structures during surface treatment. The peculiarities of the propagation of shear acoustic waves used for non-destructive testing of near-surface layers of structural materials are studied.