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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Bibliographic Details
Published in:Finite elements in analysis and design Vol. 204; p. 103732
Main Authors: Jouan, Gwendal, Kotronis, Panagiotis, Caillerie, Denis, Collin, Frédéric
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.07.2022
Elsevier BV
Elsevier
Subjects:
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
Online Access:Get full text
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Description
Summary: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).
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
scopus-id:2-s2.0-85124210272
ISSN:0168-874X
1872-6925
1872-6925
DOI:10.1016/j.finel.2022.103732