Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

Pratheek Shanthraj, P. Eisenlohr, Martin Diehl, Franz Roters

    Research output: Contribution to journalArticle

    • 22 Citations

    Abstract

    Efficient spectral methods are developed to predict the micromechanical behaviour of plastically deforming heterogeneous materials. The direct and mixed variational conditions for mechanical equilibrium and strain compatibility are formulated in a framework that couples them to a general class of non-linear solution methods. Locally evolving micromechanical fields in a sheared polycrystalline material governed by a phenomenological crystal plasticity constitutive law are used to validate the methods, and their performance at varying material heterogeneities is benchmarked. The results indicate that the solution method has a dominant influence on performance and stability at large material heterogeneities, and significant improvements over the conventional fixed-point approach are obtained when higher-order solution methods are employed. Optimal solution strategies are devised based on this and applied to an idealised dual-phase polycrystalline aggregate.

    Original languageEnglish (US)
    Pages (from-to)31-45
    Number of pages15
    JournalInternational Journal of Plasticity
    Volume66
    DOIs
    StatePublished - 2015

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    Keywords

    • Crystal plasticity
    • High-resolution periodic volume element
    • Numerical algorithms
    • Spectral method
    • Voids and inclusions

    ASJC Scopus subject areas

    • Materials Science(all)
    • Mechanics of Materials
    • Mechanical Engineering

    Cite this

    Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials. / Shanthraj, Pratheek; Eisenlohr, P.; Diehl, Martin; Roters, Franz.

    In: International Journal of Plasticity, Vol. 66, 2015, p. 31-45.

    Research output: Contribution to journalArticle

    Shanthraj, Pratheek; Eisenlohr, P.; Diehl, Martin; Roters, Franz / Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials.

    In: International Journal of Plasticity, Vol. 66, 2015, p. 31-45.

    Research output: Contribution to journalArticle

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