Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits | Zendy

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Modeling of thin isotropic elastic plates with small piezoelectric inclusions and distributed electric circuits

Author(s) -

Ca Éric,

Lenczner Michel

Publication year - 2013

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3050

Subject(s) - piezoelectricity , isotropy , elasticity (physics) , mathematics , zero (linguistics) , mathematical analysis , dimension (graph theory) , boundary value problem , work (physics) , transverse isotropy , linear elasticity , physics , materials science , acoustics , composite material , finite element method , structural engineering , pure mathematics , engineering , optics , linguistics , philosophy , thermodynamics

This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation, with various kinds of electric boundary conditions. We derive the corresponding effective models when the thickness a of the plate and the characteristic dimension ϵ of the inclusions tend together to zero, in the two following situations: first, when a ≃ ϵ , and second, when a ∕ ϵ tends to zero. Copyright © 2013 John Wiley & Sons, Ltd.

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