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Augmented Lagrangian Methods for a Class of Nonconvex Contact Problems in Structural Mechanics

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 103))

Abstract

In Bielski and Telega (1998) the study of unilateral contact problems for elastic plates was started. Such a study was next extended to the linear Koiter shell model in Telega et al. (2001). The aim of the present contribution is to develop augmented Lagrangian methods applicable to nonconvex unilateral contact problems arising in structural mechanics. To this end we have extended the approach proposed by Ito and Kunisch (1990, 1995) for convex problems. An illustrative example pertains to a geometrically nonlinear elastic beam.

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References

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© 2002 Springer Science+Business Media Dordrecht

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Bielski, W.R., Gałka, A., Telega, J.J. (2002). Augmented Lagrangian Methods for a Class of Nonconvex Contact Problems in Structural Mechanics. In: Contact Mechanics. Solid Mechanics and Its Applications, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1154-8_27

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  • DOI: https://doi.org/10.1007/978-94-017-1154-8_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6099-0

  • Online ISBN: 978-94-017-1154-8

  • eBook Packages: Springer Book Archive

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