Thermoelastic Waves in Microstructured Solids

Arkadi Berezovski, Mihhail Berezovski

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Thermoelastic wave propagation suggests a coupling between elastic deformation and heat conduction in a body. Microstructure of the body influences the both processes. Since energy is conserved in elastic deformation and heat conduction is always dissipative, the generalization of classical elasticity theory and classical heat conduction is performed differently. It is shown in the paper that a hyperbolic evolution equation for microtemperature can be obtained in the framework of the dual internal variables approach keeping the parabolic equation for the macrotemperature. The microtemperature is considered as a macrotemperature fluctuation. Numerical simulations demonstrate the formation and propagation of thermoelastic waves in microstructured solids under thermal loading.

Original languageAmerican English
Title of host publicationContinuous Media with Microstructure
DOIs
StatePublished - Feb 10 2016

Keywords

  • Internal Variable
  • Free Energy Density
  • Internal Heat Source
  • Dissipation Inequality
  • Hyperbolic Heat Conduction

Disciplines

  • Mechanics of Materials
  • Numerical Analysis and Computation
  • Partial Differential Equations
  • Applied Mathematics

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