Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling

Hamid Ghasemi, Roham Rafiee, Xiaoying Zhuang, Jacob Muthu, Timon Rabczuk

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

This research focuses on the uncertainties propagation and their effects on reliability of polymeric nanocomposite (PNC) continuum structures, in the framework of the combined geometry and material optimization. Presented model considers material, structural and modeling uncertainties. The material model covers uncertainties at different length scales (from nano-, micro-, meso- to macro-scale) via a stochastic approach. It considers the length, waviness, agglomeration, orientation and dispersion (all as random variables) of Carbon Nano Tubes (CNTs) within the polymer matrix. To increase the computational efficiency, the expensive-to-evaluate stochastic multi-scale material model has been surrogated by a kriging metamodel. This metamodel-based probabilistic optimization has been adopted in order to find the optimum value of the CNT content as well as the optimum geometry of the component as the objective function while the implicit finite element based design constraint is approximated by the first order reliability method. Uncertain input parameters in our model are the CNT waviness, agglomeration, applied load and FE discretization. Illustrative examples are provided to demonstrate the effectiveness and applicability of the present approach.

Original languageEnglish
Pages (from-to)295-305
Number of pages11
JournalComputational Materials Science
Volume85
DOIs
Publication statusPublished - 2014 Apr 1

Fingerprint

Uncertainty Propagation
Polymer Composites
Multiscale Modeling
Stochastic Modeling
Composite Structures
composite structures
Metamodel
Composite structures
Nanotubes
Polymers
Carbon
tubes
Agglomeration
optimization
propagation
Optimization
carbon
polymers
agglomeration
kriging

Keywords

  • Carbon Nano Tube (CNT)
  • CNT/polymer composite
  • Multi-scale modeling
  • Reliability analysis
  • Reliability Based Design Optimization (RBDO)

ASJC Scopus subject areas

  • Materials Science(all)
  • Chemistry(all)
  • Computer Science(all)
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Mechanics of Materials

Cite this

Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling. / Ghasemi, Hamid; Rafiee, Roham; Zhuang, Xiaoying; Muthu, Jacob; Rabczuk, Timon.

In: Computational Materials Science, Vol. 85, 01.04.2014, p. 295-305.

Research output: Contribution to journalArticle

Ghasemi, Hamid ; Rafiee, Roham ; Zhuang, Xiaoying ; Muthu, Jacob ; Rabczuk, Timon. / Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling. In: Computational Materials Science. 2014 ; Vol. 85. pp. 295-305.
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