We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy’s Law. At the triple point where air and liquid meet the solid substrate, the liquid assumes a constant, non-zero contact angle (partial wetting). We show local and global well-posedness of this free boundary problem in the presence of the ...

Cohesive-frictional and rough powders are the subject of this study. The behavior under isotropic compression is examined for different material properties involving Coulomb friction, rolling-resistance and contact-adhesion. Under isotropic compression, the density continuously increases according to Bauers exponential law, see Ref. (Bauer 1999). However, at a certain pressure/density, the beha...

This Article is brought to you for free and open access by the Mechanical Engineering at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Mechanical Engineering Faculty Works by an authorized administrator of Digital Commons@Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. Re...

This Article is brought to you for free and open access by the Mechanical Engineering at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Mechanical Engineering Faculty Works by an authorized administrator of Digital Commons@ Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. R...

This Article is brought to you for free and open access by the Mechanical Engineering at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Mechanical Engineering Faculty Works by an authorized administrator of Digital Commons@Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. Re...

We show that the thermodynamics of ideal gases may be derived solely from the Democritean concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion, aside from the law of energy conservation. Only a single corpuscle in contact with a heat bath submitted to a z and t-invariant force is considered. Most of the end results a...

The goal is to analyze the semi-smooth Newton method applied to the solution of contact problems with friction in two space dimensions. The primal-dual algorithm for problems with the Tresca friction law is reformulated by eliminating primal variables. The resulting dual algorithm uses the conjugate gradient method for inexact solving of inner linear systems. The globally convergent algorithm b...

Industrial robots are confronted with performing tasks where a contact with their environment occurs. Therefore, a need for control algorithms with position tracking performance and the force control ability appears. Up to date a lot of algorithms were proposed which deal with robot motion and force control. In this paper a robust impedance control law based on an attractive theory of sliding m...

The object studied in this paper is a pair ((; Y), where is a random surface in I R N and Y random vector eld on I R N. The pair is jointly stationary, i.e. its distribution is invariant under translations. The vector eld Y is smooth outside but may have discontinuities on. Gauss' divergence theorem is applied to derive a ow conservation law for Y. For I R 1 this specializes to a well-known rat...