Effect of micro-defects on structure failure

Coupling asymptotic analysis and strong discontinuity

Authors

  • Virginie Bonnaillie- Noël IRMAR - UMR6625, ENS Cachan Bretagne, Univ. Rennes 1, CNRS, UEB av Robert Schuman, F-35170 Bruz
  • Delphine Brancherie Laboratoire Roberval, Université de Technologie de Compiègne - UMR6253 rue Personne de Roberval, BP 20529, F-60205 Compiègne cedex
  • Marc Dambrine LMAP – UMR5142 - Université de Pau et des Pays de l’Adour Avenue de l’Université, BP 1155 F-64013 Pau cedex
  • Sébastien Tordeux Mathematical Institute of Toulouse (Toulouse University, INSA-UMR5219) 135 avenue de Rangueil, F-31077 Toulouse
  • Grégory Vial IRMAR - UMR6625, ENS Cachan Bretagne, CNRS, UEB av Robert Schuman, F-35170 Bruz

DOI:

https://doi.org/10.13052/EJCM.19.165-175

Keywords:

multi-scale asymptotic analysis, singular perturbation, strong discontinuity, failure

Abstract

This work aims at taking into account the influence of geometrical defects on the behavior till complete failure of structures. This is achieved without any fine description of the exact geometry of the perturbations. The proposed strategy is based on two approaches: asymptotic analysis of Navier equations and strong discontinuity approach.

Downloads

Download data is not yet available.

References

Bonnaillie-Noël V., Dambrine M., Tordeux S., Vial G., “Interactions between moderately close

inclusions for the Laplace equation”, Math. Models Methods Appl. Sci., vol. 19, n° 10,

p. 1853-1882, 2009.

Brancherie D., Ibrahimbegovi´c A., “Novel anisotropic continuum-discrete damage model capable

of representing localized failure of massive structures. Part I: theoretical formulation

and numerical implementation”, Engineering Computations, vol. 26, n° 1-2, p. 100-127,

Chahine E., Laborde P., Pommier J., Renard Y., Salaun M., “Study of some optimal xfem type

methods”, Computational Methods in Applied Sciences, vol. 5, p. 27-40, 2007.

Dambrine M., Vial G., “Influence of a boundary perforation on the Dirichlet energy”, Control

and Cybernetics, vol. 34, n° 1, p. 117-136, 2005.

Melenk J.M., Babuška I., “The partition of unity finite element method: Basic theory and applications”,

Computer Methods in Applied Mechanics and Engineering, vol. 136, p. 289-314,

Oliver J., “Continuum Modelling of Strong Discontinuities in Solid Mechanics”, in D. Owen,

E. Oñate, E. Hinton (eds), Computational plasticity IV. Fundamentals and Applications,

Barcelone, p. 455-480, 1995.

Simo J.C., Oliver J., Armero F., “An Analysis of Strong Discontinuity Induced by Strain Softening

Solutions in Rate-Independent Solids”, Journal of Computational Mechanics, vol. 12,

p. 277-296, 1993.

Downloads

Published

2010-08-06

How to Cite

Noël, V. B.-., Brancherie, D. ., Dambrine, M., Tordeux, S. ., & Vial, G. . (2010). Effect of micro-defects on structure failure: Coupling asymptotic analysis and strong discontinuity. European Journal of Computational Mechanics, 19(1-3), 165–175. https://doi.org/10.13052/EJCM.19.165-175

Issue

2010: Vol 19 Iss 1-3

Section

Original Article