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Application of the Wavelet-element Method to Linear Random Materials

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Novel Approaches in Civil Engineering

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 14))

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Abstract

This paper is devoted to the statistical study of the effective linear properties of random materials, that is to say microstructures are random lattices given by a stochastic process. The local numerical procedure associated to homogenization techniques is based on a wavelet-element method. The numerical results are compared with classical theories. A new approach is obtained in order to determine these effective properties if the details of the microstructure are not well-known.

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Author information

Authors and Affiliations

  1. Laboratoire de Mécanique et Génie Civil, cc 048, Université Montpellier II, F-34095, Montpellier Cedex 5, France

    Frédéric Lebon

  2. Faculté de Mathématiques et d’Informatique, Université de Picardie, F-80039, Amiens, France

    Serge Dumont

Authors
  1. Frédéric Lebon
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  2. Serge Dumont
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Editor information

Editors and Affiliations

  1. Laboratoire Lagrange, Laboratoire Central des Ponts et Chaussées, 75732, Paris cedex 15, France

    Michel Frémond

  2. Laboratoire Lagrange, Università di Roma, Via di Tor Vergata 110, 00133, Roma, Italy

    Franco Maceri

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© 2004 Springer-Verlag Berlin Heidelberg

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Lebon, F., Dumont, S. (2004). Application of the Wavelet-element Method to Linear Random Materials. In: Frémond, M., Maceri, F. (eds) Novel Approaches in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45287-4_28

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  • DOI: https://doi.org/10.1007/978-3-540-45287-4_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07529-2

  • Online ISBN: 978-3-540-45287-4

  • eBook Packages: Springer Book Archive

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