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Sufficient conditions of non-uniqueness for the Coulomb friction problem

✍ Scribed by Riad Hassani; Patrick Hild; Ioan Ionescu


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
284 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

We consider the Signorini problem with Coulomb friction in elasticity. Sufficient conditions of non‐uniqueness are obtained for the continuous model. These conditions are linked to the existence of real eigenvalues of an operator in a Hilbert space. We prove that, under appropriate conditions, real eigenvalues exist for a non‐local Coulomb friction model. Finite element approximation of the eigenvalue problem is considered and numerical experiments are performed. Copyright Β© 2003 John Wiley & Sons, Ltd.


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Sufficient conditions for the unique sol
✍ AndrΓ‘s Recski πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 562 KB

## Abstract Combinatorial necessary and sufficient conditions for the unique solvability of linear networks containing __n__‐ports are well known for the β€˜general’ case. They are only __necessary__ if relations among __n__‐port parameters are also taken into consideration. In the present paper com