Summary
A combination of a direct method (LU decomposition, for example) and the Gauss-Seidel iterations is employed to solve finite element equations subjected to frictional contact conditions. Developed solutions algorithm appears to be very efficient attaining a rapid convergence at a fractional increase in computing time over the conventional elastic solutions. It is found that Coulomb’s law must be applied in an incremental form for an adequate representation of the friction.
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References
Gladwell, G.M.L.: Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff, The Netherland 1980.
Jinn, J.T.: An Iterative Solution Method for Finite Element Analysis of Frictional Contact of Elastic Bodies, Ph.D. Thesis, The Ohio State University, 1988.
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© 1988 Springer-Verlag Berlin Heidelberg
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Lee, J.K., Jinn, J.T., Advani, S.H. (1988). An Iterative Solution Method for Frictional Contact Problems. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_246
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DOI: https://doi.org/10.1007/978-3-642-61381-4_246
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64818-2
Online ISBN: 978-3-642-61381-4
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