Modeling of smart materials with thermal effects: dynamic and quasi-static evolution - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2015

Modeling of smart materials with thermal effects: dynamic and quasi-static evolution

Résumé

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.
Fichier principal
Vignette du fichier
article_REVISED.pdf (701.14 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01167897 , version 1 (24-06-2015)

Identifiants

Citer

Francesco Bonaldi, Giuseppe Geymonat, Françoise Krasucki. Modeling of smart materials with thermal effects: dynamic and quasi-static evolution. Mathematical Models and Methods in Applied Sciences, 2015, 25 (14), pp.2633-2667. ⟨10.1142/S0218202515500578⟩. ⟨hal-01167897⟩
222 Consultations
280 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More