State-space approach to two-dimensional generalized thermoelasticity problems

Hany H. Sherief, Mohamed N. Anwar

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)

Abstract

In this work the state-space formulation for two-dimensional problems of generalized thermoelasticity with one relaxation time is introduced. Laplace and Fourier integral transforms are used The resulting formulation is applied to a problem of a thick plate subject to heating that varies exponentially with time on parts of its upper and lower surfaces. The Fourier transforms are inverted analytically. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically for the problem considered.

Original languageEnglish
Pages (from-to)567-590
Number of pages24
JournalJournal of Thermal Stresses
Volume17
Issue number4
DOIs
Publication statusPublished - Jan 1 1994

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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