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

  • Attilio Frangi
  • Giulio Maier
Part of the International Centre for Mechanical Sciences book series (CISM, volume 440)


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.


Boundary Element Boundary Element Method Crack Front Process Zone External Action 
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Copyright information

© Springer-Verlag Wien 2003

Authors and Affiliations

  • Attilio Frangi
    • 1
  • Giulio Maier
    • 1
  1. 1.Department of Structural EngineeringPolitecnico of MilanItaly

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