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Analysis of delamination of composite laminates via extended finite element method based on the layerwise displacement theory and cohesive zone method

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journal contribution
posted on 28.01.2022, 13:41 by Matheus Vilar Mota Santos, Murilo Sartorato, Anish RoyAnish Roy, Volnei Tita, Marcelo Leite Ribeiro
Composite laminates are being more employed as fundamental structures due to its low weight and high stiffness. To predict the material response in presence of damage can be demanding due to composite’s complex nature. Hence, superior computational models should be further investigated to speculate a more accurate composite behavior. This paper proposes an extended finite element procedure, based on the layerwise displacement theory, to simulate delamination to composite laminate. It is assumed a cohesive behavior to the damaged domain, described by a traction separation law. An extra degree of freedom associated to the strong discontinuity (delamination) is added at each layer top and bottom surface for out-of-plane displacement. This extra degree of freedom is only active on the failed nodes. To validate the model, a pre-delaminated composite analysis is performed and compared to results already reported in the literature. In addition, all stress components can be precisely calculated due to layer wise displacement field assumption, without any concern about the membrane and shear locking, not to mention its greater computational efficiency when compared to equivalent three-dimensional elements. Therefore, in the present work, it is shown the limitations and potentialities when a cohezive formulation is combined to extended finite element method using a new kind of approach. Additionally, this formulation makes easier to model delaminations using finite element method keeping a good accuracy without the need of cumbersome finite element models.


National Council for Scientific and Technological Development and Coordenac¸ao de ˜ Aperfeicoamento de Pessoal de N´ıvel Superior – Brasil (CAPES

National Council for Scientific and Technological Development (CNPq process number: 310656/2018- 4)

Fundac¸ao de Amparo ˜ a Pesquisa do Estado de Sao Paulo (FAPESP process number: ˜ 2015/13844-8)



  • Mechanical, Electrical and Manufacturing Engineering

Published in

Proceedings of the Institution of Mechanical Engineers Part L: Journal of Materials, Design and Applications


SAGE Publications


AM (Accepted Manuscript)

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© IMechE

Publisher statement

This paper was accepted for publication in the journal Proceedings of the Institution of Mechanical Engineers Part L: Journal of Materials, Design and Applications and the definitive published version is available at https://doi.org/10.1177/14644207211046177. Users who receive access to an article through a repository are reminded that the article is protected by copyright and reuse is restricted to non-commercial and no derivative uses. Users may also download and save a local copy of an article accessed in an institutional repository for the user's personal reference

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Prof Anish Roy. Deposit date: 26 January 2022