Transient shear waves in two joined elastic quarter spaces

J. D. Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


A half space composed of two joined elastic quarter spaces of different material properties is subjected to time-varying shear tractions, which are applied parallel to the plane of juncture. The method of homogeneous solutions is used to solve the transient wave-propagation problem for the case that the surface tractions vary in time as Dirac delta functions. For surface tractions varying in time as Heaviside step functions, Du-hamel superposition is employed to derive closed-form expressions for the shear stress in the plane of juncture. The interface shear stress shows a logarithmic singularity at the free surface.

Original languageEnglish (US)
Pages (from-to)491-496
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Issue number3
StatePublished - 1964

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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