title: Prediction of failure in notched carbon-fibre-reinforced-polymer laminates under multi-axial loading.
abstract: A damage-based finite-element model is used to predict the fracture behaviour of centre-notched quasi-isotropic carbon-fibre-reinforced-polymer laminates under multi-axial loading. Damage within each ply is associated with fibre tension, fibre compression, matrix tension and matrix compression. Inter-ply delamination is modelled by cohesive interfaces using a traction-separation law. Failure envelopes for a notch and a circular hole are predicted for in-plane multi-axial loading and are in good agreement with the observed failure envelopes from a parallel experimental study. The ply-by-ply (and inter-ply) damage evolution and the critical mechanisms of ultimate failure also agree with the observed damage evolution. It is demonstrated that accurate predictions of notched compressive strength are obtained upon employing the band broadening stress for microbuckling, highlighting the importance of this damage mode in compression. This article is part of the themed issue 'Multiscale modelling of the structural integrity of composite materials'.
authors.affiliation: Engineering Department, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK naf1@eng.cam.ac.uk.
authors.forename: J L Y
authors.initials: JL
authors.lastname: Tan
authors.affiliation: Engineering Department, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK.
authors.forename: V S
authors.initials: VS
authors.lastname: Deshpande
authors.affiliation: Engineering Department, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK.
authors.forename: N A
authors.identifier: http://orcid.org/0000-0003-0224-1804
authors.initials: NA
authors.lastname: Fleck
keywords: damage development; failure envelope; finite-element prediction; notched strength