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Shape and packing effects in particulate composites: micromechanical modelling and numerical verification
https://orcid.org/http://orcid.org/0000-0001-9023-9194
https://orcid.org/http://orcid.org/0000-0002-3644-3917
https://orcid.org/http://orcid.org/0000-0001-9820-4340
https://orcid.org/http://orcid.org/0000-0002-7154-2507
The aim of this study is to analyse the joint effect of reinforcement shape and packing on the effective behaviour of particulate composites. The proposed semi-analytical modelling method combines the Replacement Mori–Tanaka scheme, by means of which the concentration tensors for non-ellipsoidal inhomogeneities are found numerically, and the analytical morphologically representative pattern approach to account for particle packing. Five shapes of inhomogeneities are selected for the analysis: a sphere, a prolate ellipsoid, a sphere with cavities, an oblate spheroid with a cavity as well as an inhomogeneity created by three prolate spheroids crossing at right angles. Semi-analytical estimates are compared with the results of numerical simulations performed using the finite element method and with the outcomes of classical mean-field models based on the Eshelby solution, e.g. the Mori–Tanaka model or the self-consistent scheme.
Shape and packing effects in particulate composites: micromechanical modelling and numerical verification
https://orcid.org/http://orcid.org/0000-0001-9023-9194
https://orcid.org/http://orcid.org/0000-0002-3644-3917
https://orcid.org/http://orcid.org/0000-0001-9820-4340
https://orcid.org/http://orcid.org/0000-0002-7154-2507
The aim of this study is to analyse the joint effect of reinforcement shape and packing on the effective behaviour of particulate composites. The proposed semi-analytical modelling method combines the Replacement Mori–Tanaka scheme, by means of which the concentration tensors for non-ellipsoidal inhomogeneities are found numerically, and the analytical morphologically representative pattern approach to account for particle packing. Five shapes of inhomogeneities are selected for the analysis: a sphere, a prolate ellipsoid, a sphere with cavities, an oblate spheroid with a cavity as well as an inhomogeneity created by three prolate spheroids crossing at right angles. Semi-analytical estimates are compared with the results of numerical simulations performed using the finite element method and with the outcomes of classical mean-field models based on the Eshelby solution, e.g. the Mori–Tanaka model or the self-consistent scheme.
Shape and packing effects in particulate composites: micromechanical modelling and numerical verification
https://orcid.org/http://orcid.org/0000-0001-9023-9194
https://orcid.org/http://orcid.org/0000-0002-3644-3917
https://orcid.org/http://orcid.org/0000-0001-9820-4340
https://orcid.org/http://orcid.org/0000-0002-7154-2507
The aim of this study is to analyse the joint effect of reinforcement shape and packing on the effective behaviour of particulate composites. The proposed semi-analytical modelling method combines the Replacement Mori–Tanaka scheme, by means of which the concentration tensors for non-ellipsoidal inhomogeneities are found numerically, and the analytical morphologically representative pattern approach to account for particle packing. Five shapes of inhomogeneities are selected for the analysis: a sphere, a prolate ellipsoid, a sphere with cavities, an oblate spheroid with a cavity as well as an inhomogeneity created by three prolate spheroids crossing at right angles. Semi-analytical estimates are compared with the results of numerical simulations performed using the finite element method and with the outcomes of classical mean-field models based on the Eshelby solution, e.g. the Mori–Tanaka model or the self-consistent scheme.
Shape and packing effects in particulate composites: micromechanical modelling and numerical verification
Archiv.Civ.Mech.Eng
Majewski, M. (author) / Wichrowski, M. (author) / Hołobut, P. (author) / Kowalczyk-Gajewska, K. (author)
2022-03-05
Article (Journal)
Electronic Resource
English
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