Shear waves in finite strain generated at the surface of a viscoelastic half-space

J. D. Achenbach*, D. P. Reddy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

An initially undisturbed viscoelastic half-space is subjected to a monotonically increasing transverse particle velocity at the surface. The ensuing transient wave motion in finite strain is studied. By employing the theory of propagating surfaces of discontinuity the complete solution for the displacement is obtained as a Taylor expansion about the time of arrival of the wave front. It is shown that the coefficients in the expansion are the solutions of linear, inhomogeneous, ordinary differential equations of the first-order. The series solution is valid at all times, if the elastic stress-deformation curve corresponding to the initial values of the viscoelastic kernel functions are concave with respect to the deformation gradient axis.

Original languageEnglish (US)
Pages (from-to)527-539
Number of pages13
JournalInternational Journal of Engineering Science
Volume5
Issue number6
DOIs
StatePublished - Jun 1967

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

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