Towards a statistical theory of solid dry friction

Towards a statistical theory of solid dry friction

Wearless dry friction of an elastic block of weight N , driven by an external force F over a rigid substrate, is investigated. The slider and substrate surfaces are both microscopically rough, interacting via a repulsive potential that depends on the local overlap. The model reproduces Amontons’s laws which state that the kinetic friction force is proportional to the normal loading force N and ...

Towards a Statistical Theory of Clustering

The goal of this paper is to discuss statistical aspects of clustering in a framework where the data to be clustered has been sampled from some unknown probability distribution. Firstly, the clustering of the data set should reveal some structure of the underlying data rather than model artifacts due to the random sampling process. Secondly, the more sample points we have, the more reliable the...

Towards a Statistical Theory of Texture Evolution

Under standard processing conditions, many materials possess polycrystalline microstructures composed of a large number of small monocrystalline grains separated by grain boundaries. The energetics and connectivity of the grain boundaries network plays a crucial role in defining the properties of a material across a wide range of scales. A central problem in materials science is to develop tech...

Identification of a system with dry friction

Dynamics of dry friction: A numerical investigation

We perform extended numerical simulation of the dynamics of dry friction, based on a model derived from the phenomenological description proposed by Baumberger et al. @Nature ~London! 367, 544 ~1994!# and Heslot et al. @Phys. Rev. E 49, 4973 ~1994!#. Under a quasistationary approximation, the model is related to the Dieterich-Ruina aging ~or slowness! law, which was introduced by Dieterich @Pur...