Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)

Research output: Contribution to journalArticleResearchpeer review

Authors

  • N. Vu-Bac
  • T. Lahmer
  • Y. Zhang
  • Xiaoying Zhuang
  • T. Rabczuk

External Research Organisations

  • Bauhaus-Universität Weimar
  • Korea University
  • Tongji University
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Details

Original languageEnglish
Pages (from-to)80-95
Number of pages16
JournalComposites Part B: Engineering
Volume59
Publication statusPublished - 23 Nov 2013
Externally publishedYes

Abstract

The effect of the single-walled carbon nanotube (SWCNT) radius, the temperature and the pulling velocity on interfacial shear stress (ISS) is studied by using the molecular dynamics (MD) simulations. Based on our MD results, the mechanical output (ISS) is best characterized by the statistical Weibull distribution. Further, we also quantify the influence of the uncertain input parameters on the predicted ISS via sensitivity analysis (SA). First, partial derivatives in the context of averaged local SA are computed. For computational efficiency, the SA is based on surrogate models (polynomial regression, moving least squares (MLS) and hybrid of quadratic polynomial and MLS regressions). Next, the elementary effects are determined on the mechanical model to identify the important parameters in the context of averaged local SA. Finally, the approaches for ranking of variables (SA based on coefficients of determination) and variance-based methods are carried out based on the surrogate model in order to quantify the global SA. All stochastic methods predict that the key parameters influencing the ISS is the SWCNT radius followed by the temperature and pulling velocity, respectively.

Keywords

    A. Nano-structures, A. Polymer-matrix composites (PMCs), B. Interface/interphase, C. Computational modeling, Stochastic prediction

ASJC Scopus subject areas

Cite this

Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs). / Vu-Bac, N.; Lahmer, T.; Zhang, Y. et al.
In: Composites Part B: Engineering, Vol. 59, 23.11.2013, p. 80-95.

Research output: Contribution to journalArticleResearchpeer review

Vu-Bac N, Lahmer T, Zhang Y, Zhuang X, Rabczuk T. Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs). Composites Part B: Engineering. 2013 Nov 23;59:80-95. doi: 10.1016/j.compositesb.2013.11.014
Vu-Bac, N. ; Lahmer, T. ; Zhang, Y. et al. / Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs). In: Composites Part B: Engineering. 2013 ; Vol. 59. pp. 80-95.
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abstract = "The effect of the single-walled carbon nanotube (SWCNT) radius, the temperature and the pulling velocity on interfacial shear stress (ISS) is studied by using the molecular dynamics (MD) simulations. Based on our MD results, the mechanical output (ISS) is best characterized by the statistical Weibull distribution. Further, we also quantify the influence of the uncertain input parameters on the predicted ISS via sensitivity analysis (SA). First, partial derivatives in the context of averaged local SA are computed. For computational efficiency, the SA is based on surrogate models (polynomial regression, moving least squares (MLS) and hybrid of quadratic polynomial and MLS regressions). Next, the elementary effects are determined on the mechanical model to identify the important parameters in the context of averaged local SA. Finally, the approaches for ranking of variables (SA based on coefficients of determination) and variance-based methods are carried out based on the surrogate model in order to quantify the global SA. All stochastic methods predict that the key parameters influencing the ISS is the SWCNT radius followed by the temperature and pulling velocity, respectively.",
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note = "Funding information: We gratefully acknowledge the support by the Deutscher Akademischer Austausch Dienst (DAAD), IRSES-MULTIFRAC and the German Research Foundation (DFG) through the Research Training Group 1462. X. Zhuang acknowledges the supports from the NSFC (41130751), National Basic Research Program of China (973 Program: 2011CB013800), Changjiang Scholars and Innovative Research Team (PCSIRT, IRT1029). and Shanghai Pujiang Program (12PJ1409100).",
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AU - Vu-Bac, N.

AU - Lahmer, T.

AU - Zhang, Y.

AU - Zhuang, Xiaoying

AU - Rabczuk, T.

N1 - Funding information: We gratefully acknowledge the support by the Deutscher Akademischer Austausch Dienst (DAAD), IRSES-MULTIFRAC and the German Research Foundation (DFG) through the Research Training Group 1462. X. Zhuang acknowledges the supports from the NSFC (41130751), National Basic Research Program of China (973 Program: 2011CB013800), Changjiang Scholars and Innovative Research Team (PCSIRT, IRT1029). and Shanghai Pujiang Program (12PJ1409100).

PY - 2013/11/23

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N2 - The effect of the single-walled carbon nanotube (SWCNT) radius, the temperature and the pulling velocity on interfacial shear stress (ISS) is studied by using the molecular dynamics (MD) simulations. Based on our MD results, the mechanical output (ISS) is best characterized by the statistical Weibull distribution. Further, we also quantify the influence of the uncertain input parameters on the predicted ISS via sensitivity analysis (SA). First, partial derivatives in the context of averaged local SA are computed. For computational efficiency, the SA is based on surrogate models (polynomial regression, moving least squares (MLS) and hybrid of quadratic polynomial and MLS regressions). Next, the elementary effects are determined on the mechanical model to identify the important parameters in the context of averaged local SA. Finally, the approaches for ranking of variables (SA based on coefficients of determination) and variance-based methods are carried out based on the surrogate model in order to quantify the global SA. All stochastic methods predict that the key parameters influencing the ISS is the SWCNT radius followed by the temperature and pulling velocity, respectively.

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