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.
Publication Title
Continuous Media with Microstructure
DOI
https://doi.org/10.1007/978-3-319-28241-1_9
Publisher
Springer
Scholarly Commons Citation
Berezovski A., Berezovski M. (2016) Thermoelastic Waves in Microstructured Solids. In: Albers B., Kuczma M. (eds) Continuous Media with Microstructure 2. Springer, Cham
Included in
Mechanics of Materials Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
