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Inelastic Analysis of Structures under Variable Loads pp 289–314Cite as

Upper Bounds on Post-Shakedown Quantities in Poroplasticity

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 83))

Abstract

In this paper various inequalities are established in coupled poroplasticity. These provide upper bounds that can be computed directly for various history-dependent post-shakedown quantities. The main features of the constitutive and computational models considered are as follows: two-phase material; full saturation; piecewise linearization of yield surfaces and hardening; associativity; linear Darcy law; finite element space-discretization in Prager’s generalized variables. The results achieved are illustrated by comparative numerical tests.

Dedicated to the memory of Professor P. D. Panagiotopoulos.

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Author information

Authors and Affiliations

  1. Department of Structural Engineering, Technical University (Politecnico), Piazza L. da Vinci 32, 20133, Milan, Italy

    G. Cocchetti & G. Maier

Authors
  1. G. Cocchetti
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  2. G. Maier
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Editor information

Editors and Affiliations

  1. Institut für allgemeine Mechanik, Rheinisch-Westfälische Technische Hochschule Aachen, Germany

    Dieter Weichert

  2. Department of Structural Engineering, Technical University (Politecnico) of Milan, Italy

    Giulio Maier

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© 2000 Kluwer Academic Publishers

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Cocchetti, G., Maier, G. (2000). Upper Bounds on Post-Shakedown Quantities in Poroplasticity. In: Weichert, D., Maier, G. (eds) Inelastic Analysis of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9421-4_18

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  • DOI: https://doi.org/10.1007/978-94-010-9421-4_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0382-0

  • Online ISBN: 978-94-010-9421-4

  • eBook Packages: Springer Book Archive

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