On a type of Signorini problem without friction in linear thermoelasticity

Jiří Nedoma

Displaying similar documents to “On a type of Signorini problem without friction in linear thermoelasticity”

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

Ivan Hlaváček, Ján Lovíšek (1980)

Aplikace matematiky

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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.

On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case

Jiří Nedoma (1987)

Aplikace matematiky

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The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary $Γ_{α}$ of a polygonal domain $G \subset R^{2}$ is given. The rate of convergence is proved if the exact solution is sufficiently regular. ...

A frictionless contact problem for viscoelastic materials.

Barboteu, Mikäel, Han, Weimin, Sofonea, Mircea (2002)

Journal of Applied Mathematics

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Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary

Van Bon Tran (1988)

Aplikace matematiky

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The Poisson equation with non-homogeneous unilateral condition on the boundary is solved by means of finite elements. The primal variational problem is approximated on the basis of linear triangular elements, and $O (h)$ -convergence is proved provided the exact solution is regular enough. For the dual problem piecewise linear divergence-free approximations are employed and $O (h^{3 / 2})$ -convergence proved for a regular solution. Some a posteriori error estimates are also presented.

Mixed finite element analysis of semi-coercive unilateral contact problems with given friction

Ivan Hlaváček (2007)

Applications of Mathematics

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A unilateral contact 2D-problem is considered provided one of two elastic bodies can shift in a given direction as a rigid body. Using Lagrange multipliers for both normal and tangential constraints on the contact interface, we introduce a saddle point problem and prove its unique solvability. We discretize the problem by a standard finite element method and prove a convergence of approximations. We propose a numerical realization on the basis of an auxiliary “bolted” problem and the...