Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites

X. -Y. Zhou, P. D. Gosling, C. J. Pearce, Z. Ullah, L. Kaczmarczyk

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

In this paper, a stochastic homogenization method that couples the state-of-the-art computational multi-scale homogenization method with the stochastic finite element method, is proposed to predict the statistics of the effective elastic properties of textile composite materials. Uncertainties associated with the elastic properties of the constituents are considered. Accurately modeling the fabric reinforcement plays an important role in the prediction of the effective elastic properties of textile composites due to their complex structure. The p-version finite element method is adopted to refine the analysis. Performance of the proposed method is assessed by comparing the mean values and coefficients of variation for components of the effective elastic tensor obtained from the present method against corresponding results calculated by using Monte Carlo simulation method for a plain-weave textile composite. Results show that the proposed method has sufficient accuracy to capture the variability in effective elastic properties of the composite induced by the variation of the material properties of the constituents.
LanguageEnglish
Pages368-380
JournalInternational Journal of Solids and Structures
Volume80
DOIs
Publication statusAccepted/In press - 26 Oct 2015

Fingerprint

Homogenization method
Textiles
Composite materials
Finite element method
Tensors
Materials properties
Reinforcement
Statistics

Keywords

  • Textile composites
  • Effective elastic properties
  • Computational multi-scale Homogenization method
  • Stochastic finite element method

Cite this

Zhou, X. -Y., Gosling, P. D., Pearce, C. J., Ullah, Z., & Kaczmarczyk, L. (Accepted/In press). Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites. 80, 368-380. https://doi.org/10.1016/j.ijsolstr.2015.09.008
Zhou, X. -Y. ; Gosling, P. D. ; Pearce, C. J. ; Ullah, Z. ; Kaczmarczyk, L. / Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites. 2015 ; Vol. 80. pp. 368-380.
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Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites. / Zhou, X. -Y.; Gosling, P. D.; Pearce, C. J.; Ullah, Z.; Kaczmarczyk, L.

Vol. 80, 26.10.2015, p. 368-380.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites

AU - Zhou, X. -Y.

AU - Gosling, P. D.

AU - Pearce, C. J.

AU - Ullah, Z.

AU - Kaczmarczyk, L.

PY - 2015/10/26

Y1 - 2015/10/26

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AB - In this paper, a stochastic homogenization method that couples the state-of-the-art computational multi-scale homogenization method with the stochastic finite element method, is proposed to predict the statistics of the effective elastic properties of textile composite materials. Uncertainties associated with the elastic properties of the constituents are considered. Accurately modeling the fabric reinforcement plays an important role in the prediction of the effective elastic properties of textile composites due to their complex structure. The p-version finite element method is adopted to refine the analysis. Performance of the proposed method is assessed by comparing the mean values and coefficients of variation for components of the effective elastic tensor obtained from the present method against corresponding results calculated by using Monte Carlo simulation method for a plain-weave textile composite. Results show that the proposed method has sufficient accuracy to capture the variability in effective elastic properties of the composite induced by the variation of the material properties of the constituents.

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KW - Effective elastic properties

KW - Computational multi-scale Homogenization method

KW - Stochastic finite element method

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