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Exterior Penalty Methods for Contact Problems in Elasticity

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Nonlinear Finite Element Analysis in Structural Mechanics

Summary

This paper reviews recent results of Oden, Kikuchi, and Song [4] on the use of exterior penalty methods as a basis for finite element approximations of contact problems in linear elasticity.

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References

  1. Kikuchi, N.; Oden, J.T.: Contact Problems in Elasticity. SIAM, Philadelphia, (to appear).

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  2. Oden, J.T.; Kikuchi, N.: Finite Element Methods for Constrained Problems in Elasticity. International Journal for Numerical Methods in Engineering, (to appear).

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  3. Oden, J.T.; Kikuchi, N.: A Study of Penalty Methods for Problems in Nonlinear Elasticity, IUTAM Symposium Proceedings, Pergamon Press, Oxford, (to appear).

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  4. Oden, J.T.; Kikuchi, N.; Song, Y.J.: Reduced Integration and Exterior Penalty Methods for Finite Element Approximations of Contact Problems in Incompressible Elasticity, TICOM Report 80–2, Austin, Texas, 1980

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  5. Song, Y. J.; Oden, J.T.; Kikuchi, N.: R.I.P. Methods for Problems in Elasticity, TICOM Report 80–7, Austin, Texas, 1980.

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© 1981 Springer-Verlag Berlin Heidelberg

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Oden, J.T. (1981). Exterior Penalty Methods for Contact Problems in Elasticity. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_33

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  • DOI: https://doi.org/10.1007/978-3-642-81589-8_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81591-1

  • Online ISBN: 978-3-642-81589-8

  • eBook Packages: Springer Book Archive

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