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dc.contributor.authorHirshikesh,en
dc.contributor.authorNatarajan, Sundararajanen
dc.contributor.authorAnnabattula, Ratna Ken
dc.contributor.authorMartínez-Pañeda, Emilioen
dc.date.accessioned2019-05-02T23:30:46Z
dc.date.available2019-05-02T23:30:46Z
dc.date.issued2019-04-07en
dc.identifier.issn1359-8368
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/292257
dc.description.abstractWe present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case studies are addressed to demonstrate the potential of the proposed modelling framework. Specifically, we (i) gain insight into the crack growth resistance of FGMs by conducting numerical experiments over a wide range of material gradation profiles and orientations, (ii) accurately reproduce the crack trajectories observed in graded photodegradable copolymers and glass-filled epoxy FGMs, (iii) benchmark our predictions with results from alternative numerical methodologies, and (iv) model complex crack paths and failure in three dimensional functionally graded solids. The suitability of phase field fracture methods in capturing the crack deflections intrinsic to crack tip mode-mixity due to material gradients is demonstrated. Material gradient profiles that prevent unstable fracture and enhance crack growth resistance are identified: this provides the foundation for the design of fracture resistant FGMs. The finite element code developed can be downloaded from www.empaneda.com/codes.
dc.description.sponsorshipE. Martínez-Pañeda acknowledges financial support from the Royal Commission for the 1851 Exhibition through their Research Fellowship programme (RF496/2018).
dc.languageenen
dc.publisherElsevier BV
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titlePhase field modelling of crack propagation in functionally graded materialsen
dc.typeArticle
prism.publicationDate2019en
prism.publicationNameComposites Part B: Engineeringen
dc.identifier.doi10.17863/CAM.39406
dcterms.dateAccepted2019-04-02en
rioxxterms.versionofrecord10.1016/j.compositesb.2019.04.003en
rioxxterms.versionAM
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2019-04-07en
dc.contributor.orcidMartínez-Pañeda, Emilio [0000-0002-1562-097X]
dc.identifier.eissn1879-1069
rioxxterms.typeJournal Article/Reviewen
rioxxterms.freetoread.startdate2020-04-07


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Attribution-NonCommercial-NoDerivatives 4.0 International
Except where otherwise noted, this item's licence is described as Attribution-NonCommercial-NoDerivatives 4.0 International