Adhesive contact mechanics: From deterministic to stochastic description

An atomic interaction-based continuummodel for adhesive contact mechanics

A micro/nano-scale computational contact mechanics model is proposed to study the adhesive contact between deformable bodies. To model adhesive contact, an interatomic interaction potential is incorporated into the framework of nonlinear continuum mechanics. The ensuing contact model is cast into an efficient finite element formulation which is implemented using an updated Lagrangian approach. ...

Speed-Density Relationship: From Deterministic to Stochastic

Traffic flow is a many-car system with complex and stochastic movement. It is difficult to describe the system dynamics solely using deterministic models which describe average system behaviors. Therefore, a stochastic speed-density relationship is proposed as a further step forward to overcome the well-known drawbacks of deterministic models. Modeling results show that by taking care of second...

Large deformation contact mechanics of a pressurized long rectangular membrane. II. Adhesive contact.

In part I of this work, we presented a theory for adhesionless contact of a pressurized neo-Hookean plane-strain membrane to a rigid substrate. Here, we extend our theory to include adhesion using a fracture mechanics approach. This theory is used to study contact hysteresis commonly observed in experiments. Detailed analysis is carried out to highlight the differences between frictionless and ...

Mechanics: From Newton's Laws to Deterministic Chaos (Florian Scheck)

Stochastic description of the deterministic Ricker ’ s population model

We adopt the ’0-1’ test for chaos using Brownian motion chains to identify the dynamics of the Ricker’s population model. In the ’0-1’ test ’0’ is related to regular motion while ’1’ is associated with chaotic motion. The identified regular and chaotic types of solutions have been confirmed by means of recurrence plots.