The axisymmetric Lamb's problem for a finite prestrained half-space covered with a finite prestretched layer


Akbarov S.

INTERNATIONAL APPLIED MECHANICS, vol.43, no.3, pp.351-360, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1007/s10778-007-0031-9
  • Title of Journal : INTERNATIONAL APPLIED MECHANICS
  • Page Numbers: pp.351-360
  • Keywords: Lamb's problem, finite initial strains, half-space, Treloar potential, time-harmonic stress field, WAVE PROPAGATION, SURFACE

Abstract

The piecewise-homogeneous body model and the three-dimensional linearized theory of elastic waves in prestressed bodies are used to solve the axisymmetric time-harmonic Lamb's problem for a finite prestrained half-space covered with a finite prestretched layer. It is assumed that the half-space and layer are incompressible and their deformation is described by the Treloar potential. The normal stress at the interface is calculated.