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Continuum Mechanics, Nonlinear Finite Element Techniques and Computational Stability

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Progress in Computational Analysis of Inelastic Structures

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 321))

Abstract

This three lectures course will give a modern concept of finite-element- analysis in nonlinear solid mechanics using material (Lagrangian) and spatial (Eulerian) coordinates. Elastic response of solids is treated as an essential example for the geometrically and material nonlinear behavior. Furthermore a brief introduction in stability analysis and the associated numerical algorithms will be given.

A main feature of these lectures is the derivation of consistent linearizations of the weak form of equilibrium within the same order of magnitude, taking also into account the material laws in order to get Newton-type iterative algorithms with quadratic convergence.

The lectures are intended to introduce into effective discretizations and algorithms based on a well founded mechanical and mathematical analysis.

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Author information

Authors and Affiliations

  1. T. H. Darmstadt, Darmstadt, Germany

    P. Wriggers

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  1. P. Wriggers
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Editor information

Editors and Affiliations

  1. University of Hannover, Germany

    E. Stein

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© 1993 Springer-Verlag Wien

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Wriggers, P. (1993). Continuum Mechanics, Nonlinear Finite Element Techniques and Computational Stability. In: Stein, E. (eds) Progress in Computational Analysis of Inelastic Structures. International Centre for Mechanical Sciences, vol 321. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2626-4_5

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  • DOI: https://doi.org/10.1007/978-3-7091-2626-4_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82429-0

  • Online ISBN: 978-3-7091-2626-4

  • eBook Packages: Springer Book Archive

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