Tensile failure model of carbon fibre in unidirectionally reinforced epoxy composites with mean-field homogenisation

[en] This paper presents an extension of the so-called incremental-secant mean-field homogenisation (MFH) formulation accounting for fibre bundle failure and matrix cracking in Unidirectional (UD) composites. First a model for fibre bundle failure is developed bth failure probability of the carbon fibre described by a Weibull distribution. This fibre bundle failure model is then framed in a damage model of embedded bundles in a matrix by considering an exponential relation to describe the longitudinal stress build-up profile experimentally observed during failure of embedded fibre bundles. Cracking of the matrix in UD composites is accounted for through an anisotropic non-local damage model, which allows capturing the so-called 0∘ splits experimentally observed during the longitudinal tension of UD plies. A Mean Field Homogenisation (MFH) model is then extended to account for these damage models as component behaviours of the 2-phase composite material. A finite element multi-scale simulation of a notched laminate shows that the intra-laminar failure modes observed by an in situ experiment reported in the literature are well captured by the damage variables related to the matrix and fibre bundle failure processes. Inter-laminar failure is also captured by an extrinsic cohesive law introduced between the plies.

Research Center/Unit :

A&M - Aérospatiale et Mécanique - ULiège

Disciplines :

Aerospace & aeronautics engineering
Materials science & engineering
Mechanical engineering

Author, co-author :

Wu, Ling ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)

Maillard, Etienne; SONACA SA

Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3)

Language :

English

Title :

Tensile failure model of carbon fibre in unidirectionally reinforced epoxy composites with mean-field homogenisation

Publication date :

01 October 2021

Journal title :

Composite Structures

ISSN :

0263-8223

eISSN :

1879-1085

Publisher :

Elsevier, Netherlands

Volume :

273

Pages :

114270

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://doi.org/10.1016/j.compstruct.2021.114270

Name of the research project :

The research has been funded by the Walloon Region under the agreement no.7911-VISCOS in the context of the 21st SKYWIN call.

Funders :

Service public de Wallonie. Secrétariat général - SPW-SG

Available on ORBi :

since 13 June 2021

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