An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials
(2015) Philosophical Magazine — Vol. 95, n° 28-30, p. 3348-3384 (2015)
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- Abstract
- In this paper, the incremental-secant mean-field homogenization (MFH) scheme recently developed by the authors is extended to account for second statistical moments. The incremental-secant MFH method possesses several advantages compared to otherMFHmethods. Indeed themethod can handle non-proportional and non-monotonic loadings, while the instantaneous stiffness operators used in the Eshelby tensor are naturally isotropic, avoiding the isotropization approximation required by the affine and incremental-tangent methods. Moreover, the incremental-secantMFH formalism was shown to be able to account for material softeningwhen extended to include a non-local damage model in the matrix phase, thus enabling an accurate simulation of the onset and evolution of damage across the scales. In this work, by accounting for a second statistical moment estimation of the current yield stress in the composite phases, the plastic flow computation allows capturing with a better accuracy the plastic yield in the composite material phases, which in turn improves the accuracy of the predictions,mainly in the case of short fibre composite materials. The incremental-secantMFH can thus be used to model a wide variety of composite material systems with a good accuracy.
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Wu, L., Doghri, I., & Noels, L. (2015). An incremental-secant mean-field homogenization method with second statistical moments for elasto-plastic composite materials. Philosophical Magazine, 95(28-30), 3348-3384. https://doi.org/10.1080/14786435.2015.1087653 (Original work published 2015)