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Finite element approximation of piezoelectric plates
Author(s) -
Auricchio F.,
Bisegna P.,
Lovadina C.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010228)50:6<1469::aid-nme82>3.0.co;2-i
Subject(s) - piezoelectricity , finite element method , scheme (mathematics) , bending , element (criminal law) , mathematical analysis , mathematics , structural engineering , materials science , engineering , composite material , law , political science
A Reissner–Mindlin‐type modellization of piezoelectric plates is here considered in a suitable variational framework. Both the membranal and the bending behaviour are studied as the thickness of the structure tends to zero. A finite element scheme able to approximate the solution is then proposed and theoretically analysed. Some numerical results showing the performances of the scheme under consideration are discussed. Copyright © 2001 John Wiley & Sons, Ltd.