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Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics pp 257–319Cite as

Constitutive Relation Error Estimators and Adaptivity in Structural Engineering

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 416))

Abstract

The basic aspects of error estimators based on residuals on the constitutive relations which have been developed for the past 20 years in particular at Cachan are given. The crucial point is detailed; it is the construction of equilibrated stress fields from the computed finite element solution and the data. Adaptive computational strategies are also described and applied to 2 and 3D engineering examples.

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Author information

Authors and Affiliations

  1. LMT-Cachan (ENS Cachan / CNRS / Univ. Paris 6), 61, avenue du Président Wilson, 94235, Cachan Cedex, France

    Pierre Ladevèze

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  1. Pierre Ladevèze
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Editors and Affiliations

  1. University of Hannover, Germany

    Erwin Stein

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Ladevèze, P. (2005). Constitutive Relation Error Estimators and Adaptivity in Structural Engineering. In: Stein, E. (eds) Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics. CISM International Centre for Mechanical Sciences, vol 416. Springer, Vienna. https://doi.org/10.1007/3-211-38060-4_5

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  • DOI: https://doi.org/10.1007/3-211-38060-4_5

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-26975-6

  • Online ISBN: 978-3-211-38060-4

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