Thermoelastic Waves in Microstructured Solids
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.
KeywordsInternal Variable Free Energy Density Internal Heat Source Dissipation Inequality Hyperbolic Heat Conduction
The research was supported by the EU through the European Regional Development Fund and by the Estonian Research Council project PUT 434.
- 3.Eringen, A.C.: Microcontinuum Field Theories. Springer (1999)Google Scholar
- 7.Ignaczak, J., Ostoja-Starzewski, M.: Thermoelasticity with Finite Wave Speeds. Oxford University Press (2009)Google Scholar
- 8.Straughan, B.: Heat Waves, vol. 177. Springer Science and Business Media (2011)Google Scholar
- 21.Lienhard, J.H.: A Heat Transfer Textbook. Courier Corporation (2011)Google Scholar
- 25.LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge University Press (2002)Google Scholar
- 26.Guinot, V.: Wave Propagation in Fluids: Models and Numerical Techniques. Wiley (2012)Google Scholar