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Fundamentals of Direct Methods in Poroplasticity

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Inelastic Behaviour of Structures under Variable Repeated Loads

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 432))

Abstract

A nonlinear initial-boundary-value coupled problem, central to poroplasticity, is formulated under the hypotheses of small deformations, quasi-static regime, full saturation, linear Darcy diffusion law and piecewise-linearized stable and hardening poroplastic material model. After a preliminary nonconventional multifield (mixed) finite element modelling, shakedown and upper bound theorems are presented and discussed, numerically tested and applied to dam engineering situations using commercial linear and quadratic programming solvers. Limitations of the presented methodology and future prospects are discussed in the conclusions.

Dedicated to the memory of Professor Andrzej Gawecki.

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Author information

Authors and Affiliations

  1. Technical University (Politecnico) of Milan, Milan, Italy

    Giulio Maier & Giuseppe Cocchetti

Authors
  1. Giulio Maier
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  2. Giuseppe Cocchetti
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Editor information

Editors and Affiliations

  1. Institut für Allgemeine Mechanik, Rheinisch-Westfälische Technische Hochschule Aachen, Templergraben, 64, 52056, Aachen, Germany

    Dieter Weichert

  2. Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Giulio Maier

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© 2002 Springer-Verlag Wien

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Maier, G., Cocchetti, G. (2002). Fundamentals of Direct Methods in Poroplasticity. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2558-8_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83687-3

  • Online ISBN: 978-3-7091-2558-8

  • eBook Packages: Springer Book Archive

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