The solution of three-dimensional friction contact problems

✍ Scribed by A.S. Kravchuk

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 391 KB
• Volume: 72
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2008.07.014

✦ Synopsis

A variational method is developed for solving friction contact problems, in which the friction obeys Coulomb's of friction law in velocities, and numerical solutions of three-dimensional problems of the contact of a sphere, a cylinder of finite length and a cube with an elastic half-space are constructed. It is established that the maximum frictional forces correspond to a boundary point of the regions of adhesion and slippage. When the number of steps,increase this maximum decreases, and the distribution of the frictional forces becomes smoother. Certain undesirable effects that can arise during numerical implementation of the method -numerical artefacts -are described. These effects can occur in the numerical solution of problems with a different physical content, the mathematical structure of which is similar to the structure of the contact problems investigated, as the artefacts are caused by the presence of unilateral constraints and by the dependence on external effects of the region in which unilateral constraints with an equally sign occur. This problem is solved by an appropriate choice of the load-step zero approximations.