Meso-scale features and couple stresses in fracture process zone

Craig N. Morrison, Andrey P. Jivkov, John R. Yates

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    Abstract

    Generalized continuum theories such as couple stress theory have the potential to improve our understanding of material deformation and fracture behaviour in areas where classical continuum theory breaks down at, for example, the length scale of meso-scale features within the fracture process zone. The couple stress theory considers not only relative displacements between these features but also relative rotations, introducing a natural length scale. A model has been developed of a low stiffness matrix containing suitably situated high stiffness particles to simulate the presence of defects at the meso-scale. This has been used to assess the descriptive potential of a novel consistent couple stress theory. The model has been subjected to a set of displacement fields selected to produce strain energies with varying contributions from the coupled stresses. The results demonstrate the effect of particle size to spacing ratio on the elastic energies. These can be used to evaluate the couple stress constant as well as validate the constant experimentally for specific materials. Copyright © (2013) by International Conference on Fracture.
    Original languageEnglish
    Title of host publication13th International Conference on Fracture 2013, ICF 2013|Int. Conf. Fract., ICF
    Place of PublicationBeijing
    PublisherChinese Society of Theoretical and Applied Mechanics
    Pages3062-3071
    Number of pages9
    Volume4
    Publication statusPublished - 2013
    Event13th International Conference on Fracture 2013, ICF 2013 - Beijing, China
    Duration: 16 Jun 201321 Jun 2013

    Conference

    Conference13th International Conference on Fracture 2013, ICF 2013
    Country/TerritoryChina
    CityBeijing
    Period16/06/1321/06/13

    Keywords

    • FE analysis
    • Generalized continuum
    • Meso-scale defects
    • Size effect
    • Strain-curvature energy

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