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Finite Element Analysis of Piezothermoelastic Smart Structures
Author(s) -
Andreas Görnandt,
Ulrich Gabbert
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200008014127
Subject(s) - finite element method , thermal , smart material , field (mathematics) , computer science , iterative and incremental development , mathematics , process (computing) , electric field , mechanical engineering , mathematical optimization , structural engineering , materials science , physics , engineering , thermodynamics , composite material , software engineering , quantum mechanics , pure mathematics , operating system
In many applications of piezoelectrically controlled smart structures, the functionality of the system has to be guaranteed in extremely hot and cold thermal environments. Consequently, the thermal effect is very important and must be taken into account in the design process of such structures. This results in a fully coupled formulation of piezothermoelastic material behaviour. Based on a weak formulation of the equilibrium conditions and the coupled constitutive equations of this three field problem a general finite element concept is presented. Static as well as dynamic responses of combined thermal, electric and mechanical excitations are considered. An iterative solution strategy is proposed to solve the coupled field problem in an effective way.

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