Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a computational simulation approach for reliability analysis of composites in the presence of uncertainties in microscopic material properties. This computer-based methodology combines the state-of-the-art computational homogenization method with composite mechanics and probabilistic analysis to investigate structural reliability for designing sustainable composite structures. Stochastic structural responses are obtained by a stochastic multi-scale finite element method, which establishes the relationship between structural responses and microscopic random variables. The commonly used first-order reliability method and Monte Carlo simulation method are coupled with the multi-scale finite element method to conduct reliability analysis. Numerical studies are conducted to illustrate the procedure of multi-scale reliability analysis for composite structures and demonstrate the efficiency and correctness of the proposed approach.
LanguageEnglish
Title of host publicationUnknown Host Publication
Number of pages10
Publication statusAccepted/In press - 4 Nov 2015
Event13th International Probabilistic Workshop (IPW2015) - University of Liverpool, Liverpool, UK
Duration: 4 Nov 2015 → …

Workshop

Workshop13th International Probabilistic Workshop (IPW2015)
Period4/11/15 → …

Fingerprint

Reliability analysis
Composite structures
Finite element method
Fibers
Composite materials
Homogenization method
Random variables
Materials properties
Mechanics

Keywords

  • Reliability analysis
  • composite materials
  • computational homogenization
  • multiscale finite element.

Cite this

Zhou, X-Y., Gosling, Ł., P. D., Ullah, Z., Kaczmarczyk, L., & Pearce, C. J. (Accepted/In press). Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method. In Unknown Host Publication
Zhou, X-Y. ; Gosling, Ł., P. D. ; Ullah, Zahur ; Kaczmarczyk, L. ; Pearce, C. J. / Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method. Unknown Host Publication. 2015.
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abstract = "This paper presents a computational simulation approach for reliability analysis of composites in the presence of uncertainties in microscopic material properties. This computer-based methodology combines the state-of-the-art computational homogenization method with composite mechanics and probabilistic analysis to investigate structural reliability for designing sustainable composite structures. Stochastic structural responses are obtained by a stochastic multi-scale finite element method, which establishes the relationship between structural responses and microscopic random variables. The commonly used first-order reliability method and Monte Carlo simulation method are coupled with the multi-scale finite element method to conduct reliability analysis. Numerical studies are conducted to illustrate the procedure of multi-scale reliability analysis for composite structures and demonstrate the efficiency and correctness of the proposed approach.",
keywords = "Reliability analysis, composite materials, computational homogenization, multiscale finite element.",
author = "X-Y. Zhou and {Gosling, Ł.}, {P. D.} and Zahur Ullah and L. Kaczmarczyk and Pearce, {C. J.}",
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Zhou, X-Y, Gosling, Ł., PD, Ullah, Z, Kaczmarczyk, L & Pearce, CJ 2015, Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method. in Unknown Host Publication. 13th International Probabilistic Workshop (IPW2015), 4/11/15.

Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method. / Zhou, X-Y.; Gosling, Ł., P. D.; Ullah, Zahur; Kaczmarczyk, L.; Pearce, C. J.

Unknown Host Publication. 2015.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method

AU - Zhou, X-Y.

AU - Gosling, Ł., P. D.

AU - Ullah, Zahur

AU - Kaczmarczyk, L.

AU - Pearce, C. J.

PY - 2015/11/4

Y1 - 2015/11/4

N2 - This paper presents a computational simulation approach for reliability analysis of composites in the presence of uncertainties in microscopic material properties. This computer-based methodology combines the state-of-the-art computational homogenization method with composite mechanics and probabilistic analysis to investigate structural reliability for designing sustainable composite structures. Stochastic structural responses are obtained by a stochastic multi-scale finite element method, which establishes the relationship between structural responses and microscopic random variables. The commonly used first-order reliability method and Monte Carlo simulation method are coupled with the multi-scale finite element method to conduct reliability analysis. Numerical studies are conducted to illustrate the procedure of multi-scale reliability analysis for composite structures and demonstrate the efficiency and correctness of the proposed approach.

AB - This paper presents a computational simulation approach for reliability analysis of composites in the presence of uncertainties in microscopic material properties. This computer-based methodology combines the state-of-the-art computational homogenization method with composite mechanics and probabilistic analysis to investigate structural reliability for designing sustainable composite structures. Stochastic structural responses are obtained by a stochastic multi-scale finite element method, which establishes the relationship between structural responses and microscopic random variables. The commonly used first-order reliability method and Monte Carlo simulation method are coupled with the multi-scale finite element method to conduct reliability analysis. Numerical studies are conducted to illustrate the procedure of multi-scale reliability analysis for composite structures and demonstrate the efficiency and correctness of the proposed approach.

KW - Reliability analysis

KW - composite materials

KW - computational homogenization

KW - multiscale finite element.

M3 - Conference contribution

BT - Unknown Host Publication

ER -

Zhou X-Y, Gosling, Ł. PD, Ullah Z, Kaczmarczyk L, Pearce CJ. Reliability analysis of laminated fibre reinforced composites using stochastic multi-scale finite element method. In Unknown Host Publication. 2015