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Paper IV.2

Application of a Finite Element Method for the Solution of Three Dimensional Contact Problems

S.N. Korobeinikov*, V.V. Alyokhin* and M.I. Bondarenko#

*Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
#Scientific Center High Speed Rolling Stock, University of Railway Community, Moscow, Russia

doi:10.4203/ccp.23.4.2

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S.N. Korobeinikov, V.V. Alyokhin, M.I. Bondarenko, "Application of a Finite Element Method for the Solution of Three Dimensional Contact Problems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 165-175, 1994. doi:10.4203/ccp.23.4.2

Abstract

This paper is concerned with the solution of three dimensional nonlinear contact problems of solid mechanics by the finite element method. The contact conditions are imposed using the incremental potentials of the contact forces. The Lagrange multiplier method as well as penalty function one are used to formulate these potentials. The Coulomb's law is used to solve the contact problems accounting for the friction condition. These contact conditions lead to contact matrices and force vectors which are added to conventional finite element matrices and vectors. The solutions to various sample static and dynamic tree dimensional contact problems are presented to demonstrate the applicability of these algorithms.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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.2 Application of a Finite Element Method for the Solution of Three Dimensional Contact Problems S.N. Korobeinikov, V.V. Alyokhin and M.I. Bondarenko# *Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia #Scientific Center High Speed Rolling Stock, University of Railway Community, Moscow, Russia doi:10.4203/ccp.23.4.2 purchase the full-text of this paper Full Bibliographic Reference for this paper S.N. Korobeinikov, V.V. Alyokhin, M.I. Bondarenko, "Application of a Finite Element Method for the Solution of Three Dimensional Contact Problems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 165-175, 1994. doi:10.4203/ccp.23.4.2 Abstract This paper is concerned with the solution of three dimensional nonlinear contact problems of solid mechanics by the finite element method. The contact conditions are imposed using the incremental potentials of the contact forces. The Lagrange multiplier method as well as penalty function one are used to formulate these potentials. The Coulomb's law is used to solve the contact problems accounting for the friction condition. These contact conditions lead to contact matrices and force vectors which are added to conventional finite element matrices and vectors. The solutions to various sample static and dynamic tree dimensional contact problems are presented to demonstrate the applicability of these algorithms. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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