An adaptive stochastic multi-scale method for cohesive fracture modelling of quasi-brittle heterogeneous materials under uniaxial tension

R. M. Sencu, Zhenjun Yang, Y. C. Wang

    Research output: Contribution to journalArticle

    6 Citations (Scopus)
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    Abstract

    An adaptive stochastic multi-scale method is developed for cohesive fracture modelling of quasi-brittle heterogeneous materials under uniaxial tension. In this method, a macro-domain is first discretised into a number of non-overlapping meso-scale elements (MeEs) each of which containing detailed micro-scale finite element meshes. Potential discrete cracks in the MeEs are modelled by pre-inserted cohesive interface elements (CIEs). Nonlinear simulations are conducted for the MeEs to obtain the crack patterns under different boundary conditions. The macro-domain with the same number of overlapped, adaptively size-increasing MeEs are then simulated, until the potential cracks seamlessly cross the boundaries of adjacent MeEs. The resultant cracks, after being filtered by a new Bayesian inference algorithm to remove spurious cracks wherever necessary, are then integrated as CIEs into a final anisotropic macro-model for global mechanical responses. A two-dimensional example of carbon fibre reinforced polymers was modelled under two types of uniaxial tension boundaries. The developed method predicted crack patterns and load-displacement curves in excellent agreement with those from a full micro-scale simulation, but consuming considerably less computation time of the latter.

    Original languageEnglish
    Pages (from-to) 499–522
    Number of pages24
    JournalEngineering Fracture Mechanics
    Volume163
    Early online date16 Apr 2016
    DOIs
    Publication statusPublished - 16 Sep 2016

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    Cracks
    Macros
    Carbon fibers
    Polymers
    Boundary conditions

    Bibliographical note

    Publisher Statement: NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Fracture Mechanics. 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 Engineering Fracture Mechanics, [163, (2016)] DOI: 10.1016/j.engfracmech.2016.02.040

    © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
    http://creativecommons.org/licenses/by-nc-nd/4.0/
    NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Fracture Mechanics. 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 Engineering Fracture Mechanics, VOL 163, 2016, 10.1016/j.engfracmech.2016.02.040: 10.1016/j.engfracmech.2016.02.040

    © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

    Keywords

    • Multi-scale stochastic fracture mechanics
    • Scale coupling
    • Cohesive crack model
    • Overlapping elements
    • Fibre reinforced plastics

    Cite this

    An adaptive stochastic multi-scale method for cohesive fracture modelling of quasi-brittle heterogeneous materials under uniaxial tension. / Sencu, R. M.; Yang, Zhenjun; Wang, Y. C.

    In: Engineering Fracture Mechanics, Vol. 163, 16.09.2016, p. 499–522.

    Research output: Contribution to journalArticle

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