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Title: An analysis of a contact problem for a cylindrical shell: A primary and dual formulation (English)
Author: Bock, Igor
Author: Lovíšek, Ján
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 28
Issue: 6
Year: 1983
Pages: 408-429
Summary lang: English
Summary lang: Slovak
Summary lang: Russian
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Category: math
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Summary: In this paper the contact problem for a cylindrical shell and a stiff punch is studied. The existence and uniqueness of a solution is verified. The finite element method is discussed. (English)
Keyword: sequence converges strongly to solution
Keyword: existence
Keyword: frictionless
Keyword: linear elastic cylindrical shell
Keyword: rigid stamp
Keyword: no numerical applications
Keyword: governing relations
Keyword: weak form of the problem
Keyword: dual formulation
Keyword: saddle functional
Keyword: unique solution of the FE approximation exists
MSC: 49J40
MSC: 73T05
MSC: 74A55
MSC: 74B99
MSC: 74G30
MSC: 74H25
MSC: 74H99
MSC: 74K15
MSC: 74M15
MSC: 74S05
MSC: 74S30
idZBL: Zbl 0534.73091
idMR: MR0723202
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Date available: 2008-05-20T18:23:27Z
Last updated: 2015-06-19
Stable URL: http://hdl.handle.net/10338.dmlcz/104054
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Reference: [6] J. Haslinger I. Hlaváček: Contact between elastic bodies II. Finite element analysis.Apl. mat. 26, 1981, p. 263-290. MR 0623506
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Reference: [10] N. Kikuchi T. Oden: Contact problems in elasticity.SIAM, Philadelphia, 1981.
Reference: [11] N. Kikuchi Y. Joon Song: Penalty, finite-element approximations of a class of unilateral problems in linear elasticity.Quarterly of Appl. Math. Vol. XXXVIV No 1. April 1981. MR 0613950
Reference: [12] D. Kinderlehrer G. Stampacchia: An introduction to variational inequalities and their applications.Academic Press, 1980. MR 0567696
Reference: [13] A. C. Kravčuk: On Hertz's problem for linearly and nonlinearly elastic bodies of finite dimensions.(Russian). Prikladnaja matematika i mechanika, 1977, t. 41, No 2, s. 28-30. MR 0464840
Reference: [14] J. L. Lions: Quelques méthodes de résolution děs problèmes aux limites non linéaires.Dunod, Paris, 1969. Zbl 0189.40603, MR 0259693
Reference: [15] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia Praha, 1967. MR 0227584
Reference: [16] J. Nečas I. Hlaváček: Mathematical theory of elastic and elasto-plastic bodies: An introduction.Elsevier 1981. MR 0600655
Reference: [17] B. L. Pelech: Generalized theory of shells.(Russian). Lvov 1978.
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