[Quelques remarques sur la nucléation et les longueurs d’initiation des fissures dans les matériaux fragiles à la lumière du critère énergétique de Dominique Leguillon]
Crack nucleation has been the subject of important contributions in the two last decades. Starting from the energy criterion of Leguillon (Eur. J. Mech.—A/Solids 21 (2002)), the present paper examines some consequences that follow directly from the perfectly brittle model. This enables to discuss whether a quasi-static modelling of nucleation is possible. Rigorous bounds for the loading level that triggers nucleation as well as for the set of observable crack lengths under dynamic conditions are established.
La nucléation des fissures a fait l’objet de contributions importantes au cours des deux dernières décennies. En partant du critère énergétique proposé par Leguillon (Eur. J. Mech.—A/Solids 21 (2002)), le présent article examine certaines conséquences qui découlent directement du modèle parfaitement fragile. Cela permet de discuter de la possibilité d’une modélisation quasi-statique de la nucléation. Des bornes rigoureuses sont établies pour le niveau de chargement déclenchant la nucléation ainsi que pour l’ensemble des longueurs de fissures observables dans des conditions dynamiques.
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Accepté le :
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Mots-clés : Initiation de fissure, Nucléation de fissure, Critère énergétique, Dynamique, Bornes
Luc Dormieux 1 ; Eric Lemarchand 1 ; Laurent Jeannin 2 ; Djimedo Kondo 3
CC-BY 4.0
@article{CRMECA_2025__353_G1_601_0,
author = {Luc Dormieux and Eric Lemarchand and Laurent Jeannin and Djimedo Kondo},
title = {Some remarks concerning the nucleation and initiation lengths of fractures in brittle materials in the light of {Dominique} {Leguillon{\textquoteright}s} energy criterion},
journal = {Comptes Rendus. M\'ecanique},
pages = {601--614},
publisher = {Acad\'emie des sciences, Paris},
volume = {353},
year = {2025},
doi = {10.5802/crmeca.296},
language = {en},
}
TY - JOUR AU - Luc Dormieux AU - Eric Lemarchand AU - Laurent Jeannin AU - Djimedo Kondo TI - Some remarks concerning the nucleation and initiation lengths of fractures in brittle materials in the light of Dominique Leguillon’s energy criterion JO - Comptes Rendus. Mécanique PY - 2025 SP - 601 EP - 614 VL - 353 PB - Académie des sciences, Paris DO - 10.5802/crmeca.296 LA - en ID - CRMECA_2025__353_G1_601_0 ER -
%0 Journal Article %A Luc Dormieux %A Eric Lemarchand %A Laurent Jeannin %A Djimedo Kondo %T Some remarks concerning the nucleation and initiation lengths of fractures in brittle materials in the light of Dominique Leguillon’s energy criterion %J Comptes Rendus. Mécanique %D 2025 %P 601-614 %V 353 %I Académie des sciences, Paris %R 10.5802/crmeca.296 %G en %F CRMECA_2025__353_G1_601_0
Luc Dormieux; Eric Lemarchand; Laurent Jeannin; Djimedo Kondo. Some remarks concerning the nucleation and initiation lengths of fractures in brittle materials in the light of Dominique Leguillon’s energy criterion. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 601-614. doi : 10.5802/crmeca.296. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.296/
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