Prediction of the viscoelastic properties of the equivalent particle for the intercalated multi-layer stack of nanoplastics
The aim of this paper is to apply the asymptotic homogenization method to determining analytically and numerically the transversely isotropic viscoelastic relaxation moduli of the equivalent particle for the intercalated multi-layer stack of intercalated type nanoplastics. A two-phase multilayered material containing n layers is considered. The matrix is assumed to be an isotropic viscoelastic standard linear body and the reinforcement is assumed to be an isotropic elastic body. Final explicit analytical formulae for the effective elastic moduli of the multilayered material are derived first; and then the correspondence principle is employed to obtain the homogenized relaxation moduli of the equivalent intercalated particle. A numerical example is given. Final explicit analytical formulae in the time domain derived here make it convenient to estimate the influence of all the particle parameters of micro-structural details on the effective properties of the equivalent intercalated particle. The results of this paper can also be applied to multi-layer composites.
Key wordsviscoelasticity mechanical properties nanocomposites nanoplastics
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- Daniel F. Sias, Branca F. Oliveira, Samir Maghous and Guillermo J. Creus, Application of homogenization theory to composite materials. Jornadas Sul-Americanas de Engenharia Estrutural, 2002: 1–6.Google Scholar
- Liu Wenhui and Zhang Chunyuan, Application of asymptotic homogenization theory to viscoelastic multilayered composites. Natural Science Journal of Xiangtan University, 2003, 25: 91–97.Google Scholar
- Zhang Chunyuan, Viscoelastic Fracture Mechanics. Beijing: Science Press, 2006.Google Scholar