Stochastic multiscale modeling of heat conductivity of Polymeric clay nanocomposites

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Bokai Liu
  • Nam Vu-Bac
  • Xiaoying Zhuang
  • Timon Rabczuk

Organisationseinheiten

Externe Organisationen

  • Bauhaus-Universität Weimar
  • Ton Duc Thang University
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Details

OriginalspracheEnglisch
Aufsatznummer103280
FachzeitschriftMechanics of Materials
Jahrgang142
Frühes Online-Datum14 Dez. 2019
PublikationsstatusVeröffentlicht - März 2020

Abstract

We propose a stochastic multi-scale method to quantify the most significant input parameters influencing the heat conductivity of polymeric nano-composites (PNCs) with clay reinforcement. Therefore, a surrogate based global sensitivity analysis is coupled with a hierarchical multi-scale method employing computational homogenization. The effect of the conductivity of the fibers and the matrix, the Kapitza resistance, volume fraction and aspect ratio on the ’macroscopic’ conductivity of the composite is systematically studied. We show that all selected surrogate models yield consistently the conclusions that the most influential input parameters are the aspect ratio followed by the volume fraction. The Kapitza Resistance has no significant effect on the thermal conductivity of the PNCs. The most accurate surrogate model in terms of the R2 value is the moving least square (MLS).

ASJC Scopus Sachgebiete

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Stochastic multiscale modeling of heat conductivity of Polymeric clay nanocomposites. / Liu, Bokai; Vu-Bac, Nam; Zhuang, Xiaoying et al.
in: Mechanics of Materials, Jahrgang 142, 103280, 03.2020.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Liu B, Vu-Bac N, Zhuang X, Rabczuk T. Stochastic multiscale modeling of heat conductivity of Polymeric clay nanocomposites. Mechanics of Materials. 2020 Mär;142:103280. Epub 2019 Dez 14. doi: 10.1016/j.mechmat.2019.103280
Liu, Bokai ; Vu-Bac, Nam ; Zhuang, Xiaoying et al. / Stochastic multiscale modeling of heat conductivity of Polymeric clay nanocomposites. in: Mechanics of Materials. 2020 ; Jahrgang 142.
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abstract = "We propose a stochastic multi-scale method to quantify the most significant input parameters influencing the heat conductivity of polymeric nano-composites (PNCs) with clay reinforcement. Therefore, a surrogate based global sensitivity analysis is coupled with a hierarchical multi-scale method employing computational homogenization. The effect of the conductivity of the fibers and the matrix, the Kapitza resistance, volume fraction and aspect ratio on the {\textquoteright}macroscopic{\textquoteright} conductivity of the composite is systematically studied. We show that all selected surrogate models yield consistently the conclusions that the most influential input parameters are the aspect ratio followed by the volume fraction. The Kapitza Resistance has no significant effect on the thermal conductivity of the PNCs. The most accurate surrogate model in terms of the R2 value is the moving least square (MLS).",
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T1 - Stochastic multiscale modeling of heat conductivity of Polymeric clay nanocomposites

AU - Liu, Bokai

AU - Vu-Bac, Nam

AU - Zhuang, Xiaoying

AU - Rabczuk, Timon

N1 - Funding information: We gratefully acknowledge the support of the China Scholarship Council (CSC) .

PY - 2020/3

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N2 - We propose a stochastic multi-scale method to quantify the most significant input parameters influencing the heat conductivity of polymeric nano-composites (PNCs) with clay reinforcement. Therefore, a surrogate based global sensitivity analysis is coupled with a hierarchical multi-scale method employing computational homogenization. The effect of the conductivity of the fibers and the matrix, the Kapitza resistance, volume fraction and aspect ratio on the ’macroscopic’ conductivity of the composite is systematically studied. We show that all selected surrogate models yield consistently the conclusions that the most influential input parameters are the aspect ratio followed by the volume fraction. The Kapitza Resistance has no significant effect on the thermal conductivity of the PNCs. The most accurate surrogate model in terms of the R2 value is the moving least square (MLS).

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KW - Heat conductivity

KW - Multi-scale modeling

KW - Polymeric nano-composites(PNCs)

KW - Stochastic modeling

KW - Uncertainty quantification

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