Journal
COMPUTATIONAL MECHANICS
Volume 31, Issue 6, Pages 461-468Publisher
SPRINGER
DOI: 10.1007/s00466-003-0450-3
Keywords
Treffiz method; piezoelectric; anti-plane; finite element
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Applications of the Treffiz finite element method to anti-plane electroelastic problems are presented in this paper. A dual variational functional is constructed and used to derive Treffiz finite element formulation. Special trial functions which satisfy boundary conditions are also used to develop a special purpose element with local defects. The performance of the proposed element model is assessed by an example and comparison is made with results obtained by other approaches. The Trefftz finite element approach is demonstrated to be ideally suited for the analysis of the anti-plane problem.
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