This paper is concerned with the formal deduction of piezoelectric plate models in microstretch elasticity, by means of an asymptotic analysis with respect to a small parameter ε, being the thickness of the plate. Two different boundary conditions pertaining to electric quantities are considered, leading to two different models: the sensor model and the actuator model, respectively. Each of the two plate problems turns out to be decoupled into a bending problem and a certain microstretch membrane problem, partially coupled with the electric behavior.
Asymptotic piezoelectric plate models in microstretch elasticity / Serpilli, Michele. - In: ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 1521-4001. - ELETTRONICO. - 98:3(2018), pp. 454-473. [10.1002/zamm.201700073]
Asymptotic piezoelectric plate models in microstretch elasticity
SERPILLI, Michele
2018-01-01
Abstract
This paper is concerned with the formal deduction of piezoelectric plate models in microstretch elasticity, by means of an asymptotic analysis with respect to a small parameter ε, being the thickness of the plate. Two different boundary conditions pertaining to electric quantities are considered, leading to two different models: the sensor model and the actuator model, respectively. Each of the two plate problems turns out to be decoupled into a bending problem and a certain microstretch membrane problem, partially coupled with the electric behavior.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
