000014221 001__ 14221
000014221 005__ 20161115100145.0
000014221 04107 $$aeng
000014221 046__ $$k2016-08-21
000014221 100__ $$aZhao, Yingtao
000014221 24500 $$aPolynomial Stress Functions for Piezoelectric Problems and Their Application in ATF Method

000014221 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014221 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014221 506__ $$arestricted
000014221 520__ $$2eng$$aIn this paper, the analytical trial fimction method for the 8-node hybrid element (ATF-Q8) is generalized to piezoelectric plane problems. Based on generalized Lekhnitskii’s formalism, systematic schemes are given to determine all the n—th independent polynomial stress functions for piezoelectric problems, and the results can be degenerated to the case of anisotropic problem and isotropic problem. Complete polynomial stress fimctions are introduced as the trial fimctions of the generalized ATF method for analysis of piezoelectric problems. Unlike the isotropic case, the trail polynomials are related to the material constants. In the end, the new explicit polynomial stress fimctions are implemented in the ATF-Q8 element method to solve some numerical cases to test the accuracy of this approach.

000014221 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014221 653__ $$a

000014221 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014221 720__ $$aZhao, Yingtao
000014221 8560_ $$ffischerc@itam.cas.cz
000014221 8564_ $$s124860$$uhttps://invenio.itam.cas.cz/record/14221/files/PO.SM04-1.27.241.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1996, code PO.SM04-1.27.241
.
000014221 962__ $$r13812
000014221 980__ $$aPAPER