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Contribution to Book
Thermoelastic Waves in Microstructured Solids
Continuous Media with Microstructure
  • Arkadi Berezovski, Tallinn University of Technology
  • Mihhail Berezovski, Embry-Riddle Aeronautical University
Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Book Chapter
Publication/Presentation Date
2-10-2016
Abstract/Description

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.

DOI
https://doi.org/10.1007/978-3-319-28241-1_9
Publisher
Springer
Citation Information
Berezovski A., Berezovski M. (2016) Thermoelastic Waves in Microstructured Solids. In: Albers B., Kuczma M. (eds) Continuous Media with Microstructure 2. Springer, Cham