Model‐reduction in micromechanics of polycrystalline materials

Abstract

AbstractThe present study is devoted to the generalization of the Nonuniform Transformation Field Analysis (NTFA), a model‐reduction approach introduced by the authors. First, the local fields of internal variables are decomposed on a reduced basis of modes. Second, the effective (average) dissipation potential of the phases is replaced by accurate approximations. The reduced evolution equations of the models, in other words the homogenized constitutive relations, can be entirely expressed explicitly in terms of quantities which are pre‐computed “off‐line”. The example of creep of polycrystalline ice is used to assess the accuracy of the models. Their predictions, both the overall response and the local response, are shown to be in good agreement with full‐field simulations with a significant speed‐up. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)