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Article Dans Une Revue Mathematics and Mechanics of Solids Année : 2017

An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators

Résumé

We present an asymptotic two-dimensional plate model for linear magneto-electro-thermo-elastic sensors and actuators, under the hypotheses of anisotropy and homogeneity. Four different boundary conditions pertaining to electromagnetic quantities are considered, leading to four different models: the sensor-actuator model, the actuator-sensor model, the actuator model and the sensor model. We validate the obtained two-dimensional models by proving weak convergence results. Each of the four plate problems turns out to be decoupled into a flexural problem, involving the transversal displacement of the plate, and a certain partially or totally coupled membrane problem.
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Dates et versions

hal-01207392 , version 1 (01-10-2015)

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Francesco Bonaldi, G. Geymonat, F. Krasucki, M. Serpilli. An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators. Mathematics and Mechanics of Solids, 2017, 22 (4), pp.798-822. ⟨10.1177/1081286515612885⟩. ⟨hal-01207392⟩
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