Abstract
The paper is concerned with the solution of two-dimensional nonlinear contact problems of solid mechanics by the finite element method. The Lagrange multiplier method so as penalty function one are used. The solutions of some 2/D contact problems are presented.
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References
K.J. Bathe. Finite element procedures in engineering analysis. Prentice-Hall, Englewood Cliffs, N.J., 1982.
K.J. Bathe,A.B. Chaudhary. A solution method for planar and axisymmetrical contact problem. Int. J. Numer. Meth. Eng., 1985, vol.21, pp. 65–88.
A.B. Chaudhary, K.J. Bathe. A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Computers & Structures, 1986, vol.24, No.6, pp. 855–873.
T.J.R. Hughes et al. A finite-element method for a class of contact-impact problems. Comp. Meth. Appl. Mech. Eng., 1976, vol.8, No.3, pp. 249–276.
N.G. Burago, V.N. Kukudzhanov. Solution of elastoplastic problems by the finite-element method. Institute of Mechanics Prob-lems, USSR Academy of Sciences, preprint No.326, 1988, 63 p.
F.M. Guerra, R.V. Browning. Comparison of two slideline methods using ADINA. Computers & Structures, 1983, vol.17, No.5–6, pp. 819–834.
B. Nour-Omid and P. Wriggers. A two-level iteration method for solution of contact problems. Comp. Meth. Appl. Mech. Eng., 1986, vol.54, pp. 131–144.
N. Chandrasekaran, W.E. Haisler, R.E. Goforth. Finite element analysis of Hertz contact problem with friction. Finite Elements in Analysis and Design, 1987, vol.3, pp. 39–56.
N. Kikuchi, J.T. Oden. Contact problems in elastostatic. In: Finite Elements: Special problems in solid mechanics, vol.4 (ed. by J.T. Oden and G. Carey), Prentice-Hall, Englewood Cliffs, N.J., 1984, pp. 158–212.
S.N. Korobeinikov, V.P. Agapov, M.I. Bondarenko, A.N. Soldatkin. The general purpose nonlinear finite element structural analysis program PIONER, Trans. Int. Conf. Numer. Methods and Applications, Sofia, 1989, pp. 228–233.
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© 1992 Springer Basel AG
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Korobeinikov, S.N., Alyokhin, V.V. (1992). Application of a Finite-Element Method to Two-Dimensional Contact Problems. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_19
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DOI: https://doi.org/10.1007/978-3-0348-8627-7_19
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9705-1
Online ISBN: 978-3-0348-8627-7
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