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An Iterative Solution Method for Frictional Contact Problems

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Computational Mechanics ’88

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

  1. Gladwell, G.M.L.: Contact Problems in the Classical Theory of Elasticity, Sijthoff and Noordhoff, The Netherland 1980.

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  2. 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

  • eBook Packages: Springer Book Archive

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