Buckling in response to applied heat sources

Jaime Cisternas, Philip Holmes, Ioannis G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We consider the problem of thermoelastic buckling of slender rods and thin plates subject to specified heat sources on their surfaces. The situation arises in experiments in which the heat sources are either distributed in space (heat produced by exothermic heterogeneous chemical reactions catalyzed on the surface of a thin elastic crystal) or are more localized (laser beam heating of the crystal). The steady heat balance equation is solved for the unbuckled rod (plate), taking into account conduction and radiation losses. The resulting temperature fields induce buckling, which is studied analytically and numerically as a bifurcation problem in the appropriate nonlinear elastostatic equilibrium equations.

Original languageEnglish (US)
Pages (from-to)71-100
Number of pages30
JournalPhysica D: Nonlinear Phenomena
Issue number1-4
StatePublished - Mar 15 2003

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


  • Applied heat sources
  • Laser beam heating
  • Thermoelastic buckling


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