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 journalArticlepeer-review

98 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

Bibliographical note

Funding Information:
This work was supported partially by Marie Curie Actions under the grant IRSES-MULTIFRAC and German federal ministry of education and research under the Grant BMBF SUA 10/042. Nachwuchsförderprogramm of Ernst Abbe foundation is also acknowledged.

Keywords

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

ASJC Scopus subject areas

  • General Computer Science
  • General Chemistry
  • General Materials Science
  • Mechanics of Materials
  • General Physics and Astronomy
  • Computational Mathematics

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