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dc.contributor.authorLiu, Yin
dc.contributor.authorMoran, Brian
dc.date.accessioned2022-01-18T09:41:27Z
dc.date.available2022-01-18T09:41:27Z
dc.date.issued2022-01-10
dc.date.submitted2021-11-20
dc.identifier.citationLiu, Y., & Moran, B. (2022). Crack tip fields in a fiber-reinforced hyperelastic sheet: Competing roles of fiber and matrix stiffening. Mechanics Research Communications, 120, 103837. doi:10.1016/j.mechrescom.2022.103837
dc.identifier.issn0093-6413
dc.identifier.doi10.1016/j.mechrescom.2022.103837
dc.identifier.urihttp://hdl.handle.net/10754/675017
dc.description.abstractFiber-reinforced materials are widely observed in biological tissue such as human arteries and tendons. Characterizing the influence of fibers on crack-tip fields in such nonlinear materials undergoing large deformation is an important precursor to understanding damage evolution and fracture or tearing. In this paper, we present asymptotic crack tip fields in a fiber-reinforced hyperelastic sheet and explore the competing roles of fiber and matrix stiffening. A generalized neo-Hookean model and a power-law model are employed to characterize the behavior of the matrix and fibers, respectively. We show that the asymptotic crack-tip fields are mainly determined by the phase with largest degree of stiffening. For example, when the stiffening effect of fibers is much larger than that of the matrix, the crack tip fields are determined by the constitutive behavior of fibers, and the wire model and the fabric model reasonably characterize the deformation and stress near the crack tip. On the contrary, if the matrix stiffening is larger than that of the fibers, we show that the crack tip fields approach those of a pure matrix material. The asymptotic results are complemented by finite element simulations which show good agreement. These findings may shed light on material damage at a crack tip in fiber reinforced materials.
dc.language.isoen
dc.publisherElsevier
dc.relation.urlhttps://www.sciencedirect.com/science/article/pii/S0093641322000027
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Mechanics Research Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Mechanics Research Communications, [120, , (2022-01-10)] DOI: 10.1016/j.mechrescom.2022.103837 . © 2022. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleCrack tip fields in a fiber-reinforced hyperelastic sheet: Competing roles of fiber and matrix stiffening
dc.typeArticle
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentGraduate Affairs
dc.identifier.journalMechanics Research Communications
dc.rights.embargodate2023-01-10
dc.eprint.versionPost-print
dc.identifier.volume120
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.pages103837
pubs.publication-statusPublished
kaust.personLiu, Yin
kaust.personMoran, Brian
refterms.dateFOA2022-01-18T09:41:28Z


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