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Jean-Jacques Marigo


marigo.jean@numericable.fr

Books

2008

Journal articles

2009
H Ferdjani, R Abdelmoula, J J Marigo, S El Borgi (2009)  Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading   Continuum Mechanics and Thermodynamics 21: 1. 41-55 06  
Abstract: Abstract The main objective of this work is to prove that, with the Dugdale model, the small size defects, comparatively to the material characteristic length, are practically without influence on the limit load of structures. For that, we treat the case of a crack in a semi-infinite plane under anti-plane shear loading. Using integral transforms, the elasticity equations are converted analytically into a singular integral equation. The singular integral equation is solved numerically using Chebychev polynomials. Special care is needed to take into account the presence of jump discontinuities in the loading distribution along the crack lips.
Notes:
2008
2007
A Benallal, J J Marigo (2007)  Bifurcation and stability issues in gradient theories with softening   Modelling and Simulation in Materials Science and Engineering 15: 1.  
Abstract: A bifurcation and stability analysis is carried out here for a bar made of a material obeying a gradient damage model with softening. We show that the associated initial boundary-value problem is ill posed and one should expect mesh sensitivity in numerical solutions. However, in contrast to what happens for the underlying local damage model, the damage localization zone has a finite thickness and stability arguments can help in the selection of solutions.
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Book chapters

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Conference papers

2009
2007
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