Discussion on application of piece-wise linear weight functions in 2D contact problems

• Autorzy: Klisiński M. , Luo Ch. , Postek E.
• Języki publikacji: EN

Abstrakty

EN

Standard higher order finite elements often perform unsatisfactory in contact problems. The major difficulties are caused by uneven distribution of nodal forces resulting in oscillating contact pressures. The paper presents a new approach that eliminates this drawback. The weight functions are chosen in such a way that even distributions of nodal forces are obtained. It is achieved by applying piece-wise linear functions. Two new 2D isoparametric quadratic elements are derived: 6-node triangle and 8-node quadrilateral, and tested in many examples. The new elements have unsymmetric stiffness matrices, but the provided examples show their good performance in contact problems.

Słowa kluczowe

EN

contact problem; finite element method

PL

metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 3
• Strony: 320--337
• Opis fizyczny: Bibliogr. 11 poz., tab., rys., wykr.

Twórcy

autor

Klisiński M.

• Division of Structural Mechanics, Lulea University of Technology, SE-971 87, Lulea, Sweden

autor

Luo Ch.

• Division of Structural Mechanics, Lulea University of Technology, SE-971 87, Lulea, Sweden

autor

Postek E.

• Division of Structural Mechanics, Lulea University of Technology, SE-971 87, Lulea, Sweden

Bibliografia

• [1] ABAQUS User's Manual, Version 5.7. Hibbitt, Karlsson & Sorensen, Inc, 1997.
• [2] K.J. Bathe. Finite Element Procedures in Engineering Analysis. Prentice Hall, pp. 341-379, 1982.
• [3] R. Buczkowski and M. Kleiber. Elasto-plastic interface model for 3D-frictional orthotropic contact problems. Int. J. Numer. Methods Eng., 40: 599-619, 1997.
• [4] R.D. Cook. Concepts and Applications of Finite Element analysis. John Wiley & Sons, pp. 181-183, 311-315, 1981.
• [5] A. Jarzębowski, J. Maciejewski. Some remarks on the applicability of rectangular elements to plane strain boundary value problems. Computer Assisted Mechanics and Engineering Sciences, 5: 299-309, 1998.
• [6] M. Kleiber (Ed.). Handbook of Computational Solid Mechanics. Springer, pp. 25-31, 1998.
• [7] M. Kleiber, C. Woźniak. Nonlinear Mechanics of Structures. Polish Scientific Publishers, pp. 229-232, 379-380, 1991.
• [8] J.T. Oden, E.B. Pires. Algorithms and numerical results for finite element approximations of contact problems with non-classical friction laws. Computers & Structures, 19: 137-147, 1984.
• [9] N. Ottosen and H. Petersson. Introduction to the Finite Element Method. Prentice Hall, pp. 142-156, 1992.
• [10] T. Uchiyama. Petrov-Galerkin finite element method for gas liquid two-phase flow based on an incompressible two-fluid model. Nuclear Engineering and Design, 193: 145-157, 1999.
• [11] P. Wriggers, T. Vu Van and S. Stein. Finite element formulation of large deformation impact-contact problems with friction. Computers & Structures, 37: 319-331, 1990.