A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems

Due to their simplicity, cohesive zone models (CZMs) are very attractive to describe mixed-mode failure and debonding processes of materials and interfaces. Although a large number of coupled CZMs have been proposed, and despite the extensive related literature, little attention has been devoted to...

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Main Authors: R. Dimitri, M. Trullo, G. Zavarise, L. De Lorenzis
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2014-07-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/1257
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author R. Dimitri
M. Trullo
G. Zavarise
L. De Lorenzis
author_facet R. Dimitri
M. Trullo
G. Zavarise
L. De Lorenzis
author_sort R. Dimitri
collection DOAJ
description Due to their simplicity, cohesive zone models (CZMs) are very attractive to describe mixed-mode failure and debonding processes of materials and interfaces. Although a large number of coupled CZMs have been proposed, and despite the extensive related literature, little attention has been devoted to ensuring the consistency of these models for mixed-mode conditions, primarily in a thermodynamical sense. A lack of consistency may affect the local or global response of a mechanical system. This contribution deals with the consistency check for some widely used exponential and bilinear mixed-mode CZMs. The coupling effect on stresses and energy dissipation is first investigated and the path-dependance of the mixed-mode debonding work of separation is analitically evaluated. Analytical predictions are also compared with results from  numerical implementations, where the interface is described with zero-thickness contact elements. A node-to-segment strategy is here adopted, which incorporates decohesion and contact within a unified framework. A new thermodynamically consistent mixed-mode CZ model based on a reformulation of the Xu-Needleman model as modified by van den Bosch et al. is finally proposed and derived by applying the Coleman and Noll procedure in accordance with the second law of thermodynamics. The model holds monolithically for loading and unloading processes, as well as for decohesion and contact, and its performance is demonstrated through suitable examples.
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spelling doaj-art-b7bee715a1184d829f4fc06bad0e96fe2025-01-03T00:40:23ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932014-07-01829A consistency assessment of coupled cohesive zone models for mixed-mode debonding problemsR. DimitriM. TrulloG. ZavariseL. De LorenzisDue to their simplicity, cohesive zone models (CZMs) are very attractive to describe mixed-mode failure and debonding processes of materials and interfaces. Although a large number of coupled CZMs have been proposed, and despite the extensive related literature, little attention has been devoted to ensuring the consistency of these models for mixed-mode conditions, primarily in a thermodynamical sense. A lack of consistency may affect the local or global response of a mechanical system. This contribution deals with the consistency check for some widely used exponential and bilinear mixed-mode CZMs. The coupling effect on stresses and energy dissipation is first investigated and the path-dependance of the mixed-mode debonding work of separation is analitically evaluated. Analytical predictions are also compared with results from  numerical implementations, where the interface is described with zero-thickness contact elements. A node-to-segment strategy is here adopted, which incorporates decohesion and contact within a unified framework. A new thermodynamically consistent mixed-mode CZ model based on a reformulation of the Xu-Needleman model as modified by van den Bosch et al. is finally proposed and derived by applying the Coleman and Noll procedure in accordance with the second law of thermodynamics. The model holds monolithically for loading and unloading processes, as well as for decohesion and contact, and its performance is demonstrated through suitable examples.https://www.fracturae.com/index.php/fis/article/view/1257Cohesive zone modeling
spellingShingle R. Dimitri
M. Trullo
G. Zavarise
L. De Lorenzis
A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
Fracture and Structural Integrity
Cohesive zone modeling
title A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
title_full A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
title_fullStr A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
title_full_unstemmed A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
title_short A consistency assessment of coupled cohesive zone models for mixed-mode debonding problems
title_sort consistency assessment of coupled cohesive zone models for mixed mode debonding problems
topic Cohesive zone modeling
url https://www.fracturae.com/index.php/fis/article/view/1257
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