On montre que l'on peut rendre compte de l'amorçage d'une fissure en utilisant uniquement la notion de minimum relatif de l'énergie globale, les critères d'amorçage obtenus dépendant du choix de la forme de l'énergie. En particulier dans le cas d'une énergie de volume élastique et d'une énergie de surface dépendant du saut de déplacement, le critère d'amorçage obtenu est un critère en contraintes du type courbe intrinsèque.
We show that it is possible to predict the onset of cracking by searching relative minima of the total energy of a body, the yield criterion depending on the choice of the energies. In particular in the case where the bulk energy is elastic and the surface energy depends on the jump of the displacement, we prove that the yield criterion is formulated in terms of the stress tensor and of intrinsic curve type.
Accepté le :
Publié le :
Keywords: Rupture, Elasticity, Surface energy, Fracture Mechanics, Calculus of Variations
Jérôme Laverne 1, 2 ; Jean-Jacques Marigo 1
@article{CRMECA_2004__332_4_313_0,
author = {J\'er\^ome Laverne and Jean-Jacques Marigo},
title = {Approche globale, minima relatifs et {Crit\`ere} {d'Amor\c{c}age} {en~M\'ecanique} de la {Rupture}},
journal = {Comptes Rendus. M\'ecanique},
pages = {313--318},
publisher = {Elsevier},
volume = {332},
number = {4},
year = {2004},
doi = {10.1016/j.crme.2004.01.014},
language = {fr},
}
TY - JOUR AU - Jérôme Laverne AU - Jean-Jacques Marigo TI - Approche globale, minima relatifs et Critère d'Amorçage en Mécanique de la Rupture JO - Comptes Rendus. Mécanique PY - 2004 SP - 313 EP - 318 VL - 332 IS - 4 PB - Elsevier DO - 10.1016/j.crme.2004.01.014 LA - fr ID - CRMECA_2004__332_4_313_0 ER -
Jérôme Laverne; Jean-Jacques Marigo. Approche globale, minima relatifs et Critère d'Amorçage en Mécanique de la Rupture. Comptes Rendus. Mécanique, Volume 332 (2004) no. 4, pp. 313-318. doi : 10.1016/j.crme.2004.01.014. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.014/
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