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Boundary Element Advances in Solid Mechanics pp 167–204Cite as

The Symmetric Galerkin BEM in Linear and Non-Linear Fracture Mechanics

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 440))

Abstract

The symmetric Galerkin boundary element method is applied to the analysis of fracture processes involving also heterogeneous (zonewise homogeneous) domains accounting for the presence of interfaces between different subdomains. This method is characterized by the combined use of static and kinematic sources (i.e. traction and displacement discontinuities) to generate a symmetric integral operator and its space-discretization in the Galerkin weighted-residual sense. By virtue of this procedure and in analogy with the analysis of fractures in homogeneous bodies, some meaningful properties (e.g. symmetry and sign definiteness) of key continuum operators are preserved in the discrete form. Some numerical examples are presented, concerning both two-dimensional and threedimensional analyses.

This text was written in the frame of a reasearch project supported by a MURST grant (“Cofinanziamento”) on “Integrity Assesment of Large Dams”

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Author information

Authors and Affiliations

  1. Department of Structural Engineering, Politecnico of Milan, Italy

    Attilio Frangi & Giulio Maier

Authors
  1. Attilio Frangi
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  2. Giulio Maier
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Editors and Affiliations

  1. University of Patras, Greece

    Dimitri Beskos

  2. Technical University of Milan, Italy

    Giulio Maier

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Frangi, A., Maier, G. (2003). The Symmetric Galerkin BEM in Linear and Non-Linear Fracture Mechanics. In: Beskos, D., Maier, G. (eds) Boundary Element Advances in Solid Mechanics. International Centre for Mechanical Sciences, vol 440. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2790-2_4

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  • DOI: https://doi.org/10.1007/978-3-7091-2790-2_4

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  • Print ISBN: 978-3-211-00378-7

  • Online ISBN: 978-3-7091-2790-2

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