The propagation of stress discontinuities according to the coupled equations of thermoelasticity

Jan Drewes Achenbach*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The method of the characteristics is used to study the influence of thermomechanical coupling on the magnitudes of discontinuities at the wavefronts of dilatational waves. A set of unified equations is employed, which is applicable to plane, cylindrical and spherical waves. The thermal conductivity is taken as a function of the space coordinate. For cylindrical and spherical symmetry the discontinuity at the wavefront of a diverging wave is subjected to both material damping and decay due to geometry. The sharp wavefront is attenuated over a very short distance. For converging waves the material damping is counteracted by an increase in magnitude due to geometry. It is shown that material damping is predominant, except at extremely small distances from the center which fall outside the realm of continuum theory.

Original languageEnglish (US)
Pages (from-to)342-351
Number of pages10
JournalActa Mechanica
Volume3
Issue number4
DOIs
StatePublished - Dec 1 1967

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

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