Dynamic and quasi-electromagnetostatic evolution of a thermoelectromagnetoelastic body

Christian Licht (1, 2, 3, 4) , Somsak Orankitjaroen (3, 4) , Panumart Sawangtong (5) , Thibaut Weller (1, 2)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 M3 - Mathématiques et Modélisations en Mécanique
3 Department of Mathematics
4 Centre of Excellence in Mathematics
5 Department of mathematics

A standard technique of evolution equations in Hilbert spaces of possible states with finite energy supplies results of existence and uniqueness for the dynamic evolution of a thermoelectromagnetoelastic body and for its " quasi-electromagnetostatic approximation " whose relevance is established through a convergence result as a parameter, accounting for the ratio of the speed of elastic wave propagation to the celerity of the light, goes to zero.

Mots clés: Thermoelectromagnetoelasticity Dynamic evolution; Quasi-electromagnetostatic evolution; Semi-group of linear operators; Nondimensionalization; Sensors; Actuators

Domaines: Electromagnétisme; Mécanique des solides [physics.class-ph]; Thermique [physics.class-ph]

Christian Licht, Somsak Orankitjaroen, Panumart Sawangtong, Thibaut Weller. Dynamic and quasi-electromagnetostatic evolution of a thermoelectromagnetoelastic body. Comptes Rendus Mécanique, 2017, 345 (5), pp.344 - 352. ⟨10.1016/j.crme.2017.03.005⟩. ⟨hal-01576851⟩