This article is devoted to the development of a new heuristic algorithm for the solution of the general variational inequality arising in frictional contact problems. The existing algorithms devised for the treatment of the variational inequality representing frictional contact rely on the decomposi
Reliable solution of a Signorini contact problem with friction
✍ Scribed by Ivan Hlaváček
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 130 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1070-5325
No coin nor oath required. For personal study only.
✦ Synopsis
A Signorini contact problem with an approximate model of friction is analysed, when Lamé coefficients, body forces and friction coefficients are uncertain, being prescribed in a given set of admissible functions. Three kinds of criteria, characterizing the stress intensity, are chosen to define three maximization problems. Approximate problems are proposed on the basis of finite elements and the solvability of both the original and the approximate maximization problem is proved. Some theoretical convergence analysis is presented.
📜 SIMILAR VOLUMES
We consider a mathematical model which describes the bilateral quasistatic contact of a viscoelastic body with a rigid obstacle. The contact is modelled with a modified version of Coulomb's law of dry friction and, moreover, the coefficient of friction is assumed to depend either on the total slip o
This article is concerned with the development, implementation and application of variational inequalities to treat the general elastodynamic contact problem. The solution strategy is based upon the iterative use of two subproblems. Quadratic programming and Lagrange multipliers are used to solve th
A contact enforcement algorithm has been developed for matrix-free quasistatic finite element techniques. Matrix-free (iterative) solution algorithms such as non-linear conjugate gradients (CG) and dynamic relaxation (DR) are desirable for large solid mechanics applications where direct linear equat
A coupled thermoviscoelastic frictional contact problem is investigated. The contact is modelled by the Signorini condition for the displacement velocities and the friction by the Coulomb law. The heat generated by friction is described by a non-linear boundary condition with at most linear growth.