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Title: Contact problem of two elastic bodies. I (English)
Author: Janovský, Vladimír
Author: Procházka, Petr
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 25
Issue: 2
Year: 1980
Pages: 87-109
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated. (English)
Keyword: two-dimensional version of tunnel wall
Keyword: isotropic elastic bodies
Keyword: infinitesimal displacement
Keyword: continuous
Keyword: uniqueness
Keyword: existence
MSC: 35J65
MSC: 49A29
MSC: 49D15
MSC: 65N10
MSC: 73T05
MSC: 74A55
MSC: 74M15
idZBL: Zbl 0442.73115
idMR: MR0560325
DOI: 10.21136/AM.1980.103843
Date available: 2008-05-20T18:13:51Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] G. Duvaut J. L. Lions: Inequalities in Mechanics and Physics.Springer Verlag, Berlin 1976. MR 0521262
Reference: [2] M. Fremond: Dual formulation for potentials and complementary energies. Unilateral boundary conditions. Applications to the finite element method.In: The Mathematics of Finite Elements and Applications, J. R. Whiteman (editor). Academia Press, London 1973.
Reference: [3] I. Hlaváček J. Nečas: On inequalities of Korn's type II.Arch. Rat. Mech. Anal., 36, 312 - 334, 1970. MR 0252845, 10.1007/BF00249519
Reference: [4] V. Janovský: Contact problem of two elastic bodies.Technical Report BICOM 77-2, Institute of Computational Math., Brunel University, Uxbridge, England.
Reference: [5] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Mason, Paris, 1967. MR 0227584
Reference: [6] M. Cotlar R. Cignoli: An Introduction to Functional Analysis.North-Holland Publishing Co., Amsterdam, 1974. MR 0405049


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