A second gradient cohesive element for mode I crack propagation

Modeling strain localization with a second gradient model can become problematic at the late stages of softening response, when the second gradient terms become significant compared to the first gradient terms. This is particularly true for mode I crack problems where an unrealistic spreading of the...

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Vydané v:	Finite elements in analysis and design Ročník 204; s. 103732
Hlavní autori:	Jouan, Gwendal, Kotronis, Panagiotis, Caillerie, Denis, Collin, Frédéric
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.07.2022 Elsevier BV Elsevier
Predmet:	Analysis Applied Mathematics Civil engineering Cohesive element Computer Graphics and Computer-Aided Design Crack Crack propagation Cracks propagation Engineering (all) Engineering Sciences Engineering, computing & technology General Engineering Generalized continua Higher order continuum Higher-order continua Ingénierie civile Ingénierie, informatique & technologie Localization Mechanics Mechanics of materials Micromorphic continua Micromorphic continuum Mode I crack Propagation modes Regularisation Regularization Second gradient Strain localization Strain localizations Transition Cohesive element Micromorphic continua Strain localization Generalized continua Transition Higher-order continua Second gradient Regularization Crack strain localization second gradient crack micromorphic continua higher-order continua regularization generalized continua cohesive element transition
ISSN:	0168-874X, 1872-6925, 1872-6925
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Popis
Shrnutí:	Modeling strain localization with a second gradient model can become problematic at the late stages of softening response, when the second gradient terms become significant compared to the first gradient terms. This is particularly true for mode I crack problems where an unrealistic spreading of the localized zone can be encountered. To deal with these limitations, a novel second gradient interface element for mode I crack propagation problems is introduced. It is shown that the model is able to correctly reproduce all the different phases up to failure; the adherence phase, strain localization, the transition from localized strains to cohesive zones and full crack opening. •A detailed presentation of the virtual work principle for second gradient continua.•A better insight of some problems appearing when modeling crack in second gradient continua.•A novel second gradient cohesive element for mode I crack propagation (virtual work principle and numerical implementation).
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 scopus-id:2-s2.0-85124210272
ISSN:	0168-874X 1872-6925 1872-6925
DOI:	10.1016/j.finel.2022.103732