Journal
ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING
Volume 22, Issue 2, Pages -Publisher
SPRINGERNATURE
DOI: 10.1007/s43452-022-00405-9
Keywords
Composite material; Micromechanics; Computational modelling; Packing effect; Shape effect
Funding
- National Science Center (NCN), Poland [2017/25/N/ST8/01968]
- [2015/19/N/ST8/03924]
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The aim of this study is to analyze the joint effect of reinforcement shape and packing on the effective behavior of particulate composites. The proposed semi-analytical modeling method combines the Replacement Mori-Tanaka scheme and the analytical morphologically representative pattern approach to account for particle packing. Five shapes of inhomogeneities are selected for the analysis, and the semi-analytical estimates are compared with numerical simulations and classical mean-field models.
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.
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