Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
5-1-2013
Abstract/Description
Numerical simulations of the thermoelastic response of a microstructured material on a thermal loading are performed in the one-dimensional setting to examine the influence of temperature gradient effects at the microstructure level predicted by the thermoelastic description of microstructured solids (Berezovski et al. in J. Therm. Stress. 34:413–430, 2011). The system of equations consisting of a hyperbolic equation of motion, a parabolic macroscopic heat conduction equation, and a hyperbolic evolution equation for the microtemperature is solved by a finite-volume numerical scheme. Effects of microtemperature gradients exhibit themselves on the macrolevel due to the coupling of equations of the macromotion and evolution equations for macro- and microtemperatures.
Publication Title
Acta Mechanica
DOI
https://doi.org/10.1007/s00707-013-0884-4
Publisher
Springer
Grant or Award Name
Estonian Science Foundation (grant No. 8702)
Scholarly Commons Citation
Berezovski, A., & Berezovski, M. (2013). Influence of Microstructure on Thermoelastic Wave Propagation. Acta Mechanica, 224(11). https://doi.org/10.1007/s00707-013-0884-4
Included in
Mechanics of Materials Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
Additional Information
Dr. Mihhail Berezovski was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.