A lattice spring model of heterogeneous materials with plasticity

BUXTON, G. A., CARE, C. M. and CLEAVER, D. J. (2001). A lattice spring model of heterogeneous materials with plasticity. Modelling and simulation in materials science and engineering, 9 (6), 485-497.

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Link to published version:: https://doi.org/10.1088/0965-0393/9/6/302
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    Abstract

    A three-dimensional lattice spring model of a heterogeneous material is presented. For small deformations, the model is shown to recover the governing equations for an isotropic elastic medium. The model gives reasonable agreement with theoretical predictions for the elastic fields generated by a spherical inclusion, although for small particle sizes the discretization of the underlying lattice causes some departures from the predicted values. Plasticity is introduced by decreasing the elastic moduli locally whilst maintaining stress continuity. Results are presented for a spherical inclusion in a plastic matrix and are found to be in good agreement with the predictions of Wilner (1988 J. Mech. Phys. Solids 36 141-65).

    Item Type: Article
    Additional Information: © Institute of Physics and IOP Publishing Limited
    Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
    Identification Number: https://doi.org/10.1088/0965-0393/9/6/302
    Page Range: 485-497
    Depositing User: Ann Betterton
    Date Deposited: 14 Feb 2008
    Last Modified: 12 May 2018 09:37
    URI: http://shura.shu.ac.uk/id/eprint/882

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