Displaying similar documents to “Dual finite element analysis for contact problem of elastic bodies with an enlarging contact zone”

Contact between elastic perfectly plastic bodies

Jaroslav Haslinger, Ivan Hlaváček (1982)

Aplikace matematiky

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If the material of the bodies is elastic perfectly plastic, obeying the Hencky's law, the formulation in terms of stresses is more suitable than that in displacements. The Haar-Kármán principle is first extended to the case of a unilateral contact between two bodies without friction. Approximations are proposed by means of piecewise constant triangular finite elements. Convergence of the method is proved for any regular family of triangulations.

A finite element analysis for elastoplastic bodies obeying Hencky's law

Ivan Hlaváček (1981)

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Using the Haar-Kármán principle, approximate solutions of the basic boundary value problems are proposed and studied, which consist of piecewise linear stress fields on composite triangles. The torsion problem is solved in an analogous manner. Some convergence results are proven.

Finite element analysis of the Signorini problem in semi-coercive cases

Ivan Hlaváček, Ján Lovíšek (1980)

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The plane Signorini problem is considered in the cases, when there exist non-trivial rigid admissible displacements. The existence and uniqueness of the solution and the convergence of piecewise linear finite element approximations is discussed.