Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach

Zdeněk Kestřánek

Displaying similar documents to “Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach”

Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.

Silveira, Ricardo A.M., Pereira, Wellington L.A., Gonçalves, Paulo B. (2008)

Mathematical Problems in Engineering

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Unilateral contact applications using FEM software

M. Stavroulaki, G. Stavroulakis (2002)

International Journal of Applied Mathematics and Computer Science

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Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with...

Computational methods for estimation in the modeling of nonlinear elastomers

H. T. Banks, Nancy J. Lybeck, M. J. Gaitens, B. C. Muñoz, L. C. Yanyo (1996)

Kybernetika

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Contact between elastic bodies. III. Dual finite element analysis

Jaroslav Haslinger, Ivan Hlaváček (1981)

Aplikace matematiky

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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L 2$ -error estimate is proven provided the exact solution is regular enough.

Unconstrained finite element for geometrical nonlinear dynamics of shells.

Coda, Humberto Breves, Paccola, Rodrigo Ribeiro (2009)

Mathematical Problems in Engineering

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Approximation and numerical solution of contact problems with friction

Jaroslav Haslinger, Miroslav Tvrdý (1983)

Aplikace matematiky

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The present paper deals with numerical solution of the contact problem with given friction. By a suitable choice of multipliers the whole problem is transformed to that of finding a saddle-point of the Lagrangian function $ℒ$ on a certain convex set $K \times Λ$ . The approximation of this saddle-point is defined, the convergence is proved and the rate of convergence established. For the numerical realization Uzawa’s algorithm is used. Some examples are given in the conclusion.