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Finite element dual analysis in piezoelectric crack estimation. (English) Zbl 1095.74046

Gao, David Y., Complementary, duality and symmetry in nonlinear mechanics. Proceedings of the IUTAM symposium, Shanghai, China, August 13–16, 2002. Dedicated Professor Wei-Zhang Chien on the occasion of his 90th birthday. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7887-0/hbk). Advances in Mechanics and Mathematics 6, 339-353 (2004).
The authors propose an alternative approach to study an electromechanically coupled system of piezoelectric cracks. The dual path-independent integrals and the related bound theorems are presented. The dual piezoelectric finite elements are formulated and implemented in the bound analysis.
For the entire collection see [Zbl 1058.74011].

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74R10 Brittle fracture
74F15 Electromagnetic effects in solid mechanics
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