Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition

Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition Full article

Journal

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
ISSN: 0044-2267

Output data

Year: 2014, Volume: 94, Number: 9, Pages: 730-739 Pages count : 10 DOI: 10.1002/zamm.201200229

Tags

Crack; Energy functional; Nonpenetration condition; Timoshenko's plate; Variational inequality

Authors

Lazarev N.P. ¹ , Rudoy E.M. ²

Affiliations

1	North-Eastern Federal University, Yakutsk, 677891, Russian Federation
2	Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

An equilibrium problem for an elastic transversely isotropic Timoshenko's plate with a curvilinear crack is considered. On the crack faces, the nonpenetration conditions, which have the form of inequalities (conditions of the Signorini type), are given. By using a sufficiently smooth perturbation determined in the middle plate plane, the variation of plate geometry is specified. The formula of the derivative of the plate energy functional with respect to the perturbation parameter is deduced. © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Lazarev N.P. , Rudoy E.M.
Shape sensitivity analysis of Timoshenko's plate with a crack under the nonpenetration condition
ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2014. V.94. N9. P.730-739. DOI: 10.1002/zamm.201200229 WOS Scopus РИНЦ OpenAlex

≡ Web of science:	WOS:000341775100005
≡ Scopus:	2-s2.0-84908575989
≡ Elibrary:	23997926
≡ OpenAlex:	W2161848035