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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 23
ADVANCES IN SIMULATION AND INTERACTION TECHNIQUES
Edited by: M. Papadrakakis and B.H.V. Topping
Paper IV.4

Finite Element Approach for an Optimal Shape Design of Large Displacement Contact Problems

A. Myslinski

System Research Institute, Warsaw, Poland

Full Bibliographic Reference for this paper
A. Myslinski, "Finite Element Approach for an Optimal Shape Design of Large Displacement Contact Problems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 191-196, 1994. doi:10.4203/ccp.23.4.4
Abstract
The paper is concerned with the shape optimal design of large displacement contact problem. The contact with the prescribed friction is assumed. The optimal design problem consists in finding the domain boundary in the contact zone to minimize the contact stress. The mixed finite element method is used to discretize this optimization problem. The necessary optimality condition is formulated. The augmented Lagrangian approach is used to solve numerically the state system. The conjugate gradient method with projection is used as an optimization method. Numerical examples are provided.

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