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dc.contributor.authorLai, Wenyu
dc.contributor.authorGao, Jian
dc.contributor.authorLi, Yihuan
dc.contributor.authorArroyo Balaguer, Marino
dc.contributor.authorShen, Yongxing
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationLai, W. [et al.]. Phase field modeling of brittle fracture in an Euler–Bernoulli beam accounting for transverse part-through cracks. "Computer methods in applied mechanics and engineering", 1 Abril 2020, vol. 361, p. 112787:1-112787:19.
dc.description© 2020 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
dc.description.abstractWe present a phase field model to simulate brittle fracture in an initially straight Euler–Bernoulli beam, with generalization to curved beams. We start from formulating the problem with the principle of minimum potential energy in a 3D solid, with the displacement field and the phase field as primary arguments. We then select, for each cross section, representative fields that characterize the said cross section, including the beam deflection and rotation, and two independent ansatz variables within the cross section to represent the phase field. The problem then reduces to a minimization with only one-dimensional field variables. A feature of the proposed method is, without discretizing the phase field within the cross section, it can represent its variation within the cross section, allowing to simulate cracks partially going through the thickness due to bending as well as axial loads.
dc.rights©2020. Elsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subject.lcshNumerical analysis
dc.subject.lcshStrength of materials
dc.subject.otherPhase field
dc.subject.otherEuler–Bernoulli beam
dc.subject.otherBrittle fracture
dc.subject.otherDimension reduction
dc.titlePhase field modeling of brittle fracture in an Euler–Bernoulli beam accounting for transverse part-through cracks
dc.subject.lemacAnàlisi numèrica
dc.subject.lemacResistència de materials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65K Mathematical programming, optimization and variational techniques
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (author's final draft)
local.citation.authorLai, W.; Gao, J.; Li, Y.; Arroyo, M.; Shen, Y.
local.citation.publicationNameComputer methods in applied mechanics and engineering

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