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Title of Article

THE PUNCH SHAPE OPTIMIZATION IN CONTACT PROBLEMS WITH FRICTION


Issue
4
Date
2011

Article type
scientific article
UDC
 
Pages
1383-1384
Keywords
 


Authors
Banichuk N.V.
Institut problem mekhaniki im. A.Yu. Ishlinskogo RAN, Moskva

Ivanova S.Yu.
Institut problem mekhaniki im. A.Yu. Ishlinskogo RAN, Moskva


Abstract
The contact problem of punch shape optimization under constraints on the applied forces and moments is considered. The motion of the punch is investigated in a quasi-static formulation, taking into account the friction forces. The optimal punch shape is found as a solution of the optimization problem of determining the pressure distribution acting on an elastic half-space in a 3D formulation. The new decomposition of the optimization problem into a separate solution of the problem of the best possible external action and a solution of the problem of the penetration of the punch into elastic medium with friction is discussed. As an example the solution of a rectangular punch penetration is presented.

File (in Russian)