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- Title
Modeling of smart materials with thermal effects: Dynamic and quasi-static evolution.
- Authors
Bonaldi, Francesco; Geymonat, Giuseppe; Krasucki, Françoise
- Abstract
We present a mathematical model for linear magneto-electro-thermo-elastic continua, as sensors and actuators can be thought of, and prove the well-posedness of the dynamic and quasi-static problems. The two proofs are accomplished, respectively, by means of the Hille-Yosida theory and of the Faedo-Galerkin method. A validation of the quasi-static hypothesis is provided by a nondimensionalization of the dynamic problem equations. We also hint at the study of the convergence of the solution to the dynamic problem to that to the quasi-static problem as a small parameter - the ratio of the largest propagation speed for an elastic wave in the body to the speed of light - tends to zero.
- Subjects
SMART materials; THERMOPHYSICAL properties; DYNAMICAL systems; MAGNETOELECTRONICS; GALERKIN methods
- Publication
Mathematical Models & Methods in Applied Sciences, 2015, Vol 25, Issue 14, p2633
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202515500578