Using multiple point constraints in finite element analysis of two dimensional contact problems

C.H. Liu, I Cheng, An-Chi Tsai, Lo-Jung Wang and J.Y. Hsu

Abstract

Two-dimensional elastic contact problems, including normal, tangential, and rolling contacts, are treated with the finite element method in this study. Stress boundary conditions and kinematic conditions are transformed into multiple point constraints for nodal displacements in the finite element method. Upon imposing these constraints into the finite element system equations, the calculated nodal stresses and nodal displacements satisfy stress and displacement contact conditions exactly. Frictional and frictionless contacts between elastically identical as well as elastically dissimilar materials are treated in this study. The contact lengths, sizes of slip and stick regions, the normal and the shear stresses can be found.

Key Words

contact mechanics; rolling contact; tangential contact; finite element method; multiple point constraints.

Address

C.H. Liu: Department of Mechanical and Elector-mechanical Engineering, Tamkang University, Tamsui, Taipei Shien, Taiwan, R.O.C. I Cheng: Department of Mechanical and Elector-mechanical Engineering, Tamkang University, Tamsui, Taipei Shien, Taiwan, R.O.C. An-Chi Tsai: Department of Mechanical and Elector-mechanical Engineering, Tamkang University, Tamsui, Taipei Shien, Taiwan, R.O.C. Lo-Jung Wang: UL International Services Ltd.-Taiwan Branch, 1\'st Fl 260 Da-Yeh Road, Peitou, Taipei City, Taiwan, R.O.C. J.Y. Hsu: Vivotek Inc., 6F 192 Lien-Cheng Rd., Chung-Ho, Taipei Shien, Taiwan, R.O.C.

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