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A Combined Element-Free Galerkin Method/ Arbitrary Lagrangian-Eulerian Formulation for Dynamic Crack Propagation

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IUTAM Symposium on Non-linear Singularities in Deformation and Flow

Abstract

The Element Free Galerkin (EFG) method is an alternative to the finite element method (FEM) which is an industrial standard tool for solving a wide variety of mechanics problems. However, for some highly nonlinear problems, some difficulties are not yet totally overcome. These difficulties generally arise from the inherent structure of the FEM and the topological knowledge it requires, namely the rigid connectivity defined by elements. In fracture problems, for instance, finite element edges provide natural lines along which cracks can grow. However, if the crack path is not known a priori, FEM requires remeshing in order to follow an arbitrary crack path.

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Author information

Authors and Affiliations

  1. LTAS-Continuum Mechanics and Thermomechanics, University of Liège, 21 Rue E. Solvay, B4000, Liège, Belgium

    J.-P. Ponthot

  2. Department of Civil and Mechanical Engineering, Northwestern University, Evanston, Il, 60208-3109, USA

    T. Belytschko

Authors
  1. J.-P. Ponthot
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  2. T. Belytschko
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Editor information

Editors and Affiliations

  1. Israel Institute of Technology, Technion, Haifa, Israel

    D. Durban (Faculty of Aerospace Engineering) (Faculty of Aerospace Engineering)

  2. Fluid Mechanics Department, Schlumberger Cambridge Research, Cambridge, UK

    J. R. A. Pearson

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© 1999 Springer Science+Business Media Dordrecht

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Ponthot, JP., Belytschko, T. (1999). A Combined Element-Free Galerkin Method/ Arbitrary Lagrangian-Eulerian Formulation for Dynamic Crack Propagation. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_19

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  • DOI: https://doi.org/10.1007/978-94-011-4736-1_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5991-6

  • Online ISBN: 978-94-011-4736-1

  • eBook Packages: Springer Book Archive

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