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Finite element method for piezoelectric vibration
Author(s) -
Allik Henno,
Hughes Thomas J. R.
Publication year - 1970
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/nme.1620020202
Subject(s) - finite element method , piezoelectricity , mixed finite element method , vibration , extended finite element method , mathematical analysis , tetrahedron , stiffness matrix , stiffness , matrix (chemical analysis) , element (criminal law) , mathematics , analogy , classical mechanics , physics , structural engineering , materials science , geometry , engineering , acoustics , composite material , linguistics , philosophy , political science , law
A finite element formulation which includes the piezoelectric or electroelastic effect is given. A strong analogy is exhibited between electric and elastic variables, and a ‘stiffness’ finite element method is deduced. The dynamical matrix equation of electroelasticity is formulated and found to be reducible in form to the well‐known equation of structural dynamics, A tetrahedral finite element is presented, implementing the theorem for application to problems of three‐dimensional electroelasticity.