Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Theoretical analysis of discrete contact problems with Coulomb friction

Tomáš Ligurský — 2012

Applications of Mathematics

A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction ℱ depending on the spatial variable is analysed. It is shown that a solution exists for any ℱ and is globally unique if ℱ is sufficiently small. The Lipschitz continuity of this unique solution as a function of ℱ as well as a function of the load vector f is obtained. Furthermore, local uniqueness of solutions for arbitrary ℱ > 0 is studied. The question of existence of locally Lipschitz-continuous...

Approximation and numerical realization of 3D contact problems with given friction and a coefficient of friction depending on the solution

Jaroslav Haslinger;  Tomáš Ligurský — 2009

Applications of Mathematics

The paper presents the analysis, approximation and numerical realization of 3D contact problems for an elastic body unilaterally supported by a rigid half space taking into account friction on the common surface. Friction obeys the simplest Tresca model (a slip bound is given a priori) but with a coefficient of friction ℱ which depends on a solution. It is shown that a solution exists for a large class of ℱ and is unique provided that ℱ is Lipschitz continuous with a sufficiently small modulus of...

Page 1

Download Results (CSV)