Since 1980, a considerable attention of applied mathematicians has been devoted to unilateral contact problems with Coulomb friction, cf. [2] and the references therein. Concerning the static case, our comprehension has reached a fairly satisfactory level. In [1], the authors have developed a numerical approach to a class of optimization problems, where one computes optimal shape of a 2D elasti...

Friction plays an important role in creating damping mechanism structures.In this paper a study was conducted to analyze coulomb friction andfrictional energy dissipation with stone blocks single degreeof freedom system by discrete and continuum modeling finite element-based software ABAQUS. Discrete approach wasused study. It found that both approaches gave similar results.

We simulate the response of dense granular material to shear. Our simulations use a micromechanical model which includes realistic material models for each deformable grain, and a Coulomb friction model for interactions between grains. We measure the probability density function (PDF) governing the volume distribution of stress for monodisperse and polydisperse samples, circular and polygonal g...

For the static contact problem with limited interpenetration with the obstacle the existence of solutions is proved. The frictionless case is studied at first, then the problem with Coulomb friction is investigated as well. The body has nowhere a Dirichlet boundary value condition prescribed. In both cases, if the prescribed bound of the interpenetratiom tends to 0, the solutions tend to a solu...

A review of literature shows that little progress has been made towards quantifying the manipulator characteristics necessary to provide a given performance at a given task. Controlled single factor experiments can be performed by simulating the characteristics of interest and inserting them into the dynamics via the joint control system. Backlash, Coulomb friction, and many other important eff...