Displaying similar documents to “Inequalities of Korn's type, uniform with respect to a class of domains”

Korn's inequality uniform with respect to a class of axisymmetric bodies

Ivan Hlaváček (1989)

Aplikace matematiky

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The Korn's inequality involves a positive constant, which depends on the domains, in general. We prove that the constants have a positive infimum, if a class of bounded axisymmetric domains and axisymmetric displacement fields are considered.

Contact problem of two elastic bodies. I

Vladimír Janovský, Petr Procházka (1980)

Aplikace matematiky

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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.