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Uncertainty quantification and global sensitivity analysis for progressive failure of fiber-reinforced composites

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Abstract

In this paper, a framework for the stochastic progressive failure analysis (PFA) of fiber-reinforced composites is presented. The nonlinear responses of composite structures are hugely influenced by the randomness in material properties of plies, thereby yielding significantly different responses compared with that with deterministic simulations. Moreover, performing PFA using finite element analysis (FEA) is a computationally intensive process that becomes unaffordable while performing uncertainty analysis that requires numerous FEA runs. So, to alleviate this computational cost while maintaining an acceptable accuracy, an efficient technique called polynomial chaos expansion (PCE) was implemented. Another advantage of PCE is that it allows performing global sensitivity analysis (GSA) to estimate the influence of the random inputs on the stochastic responses as a post-processing step without any additional cost. The effects of randomness in material properties on the first ply failure load and ultimate failure responses of a composite laminate were compared with the framework using PCE as well as 5000 LHS simulations and the results underlined the cost-effectiveness as well as the high accuracy of PCE. Moreover, the GSA successfully identified the influential random material properties that correlated well with the failure modes. Thus, the presented approach and the results of this study will be instrumental in understanding the failure as well as improving the design of composite structures.

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Acknowledgments

This research was carried out while the first author was on a Graduate Council Fellowship (GCF) during his Ph.D. at the University of Alabama. The authors would like to thank the Research Grants Committee (RGC), Graduate Council Fellowship, the Remote Sensing Center, and the Department of Aerospace Engineering and Mechanics at The University of Alabama, Tuscaloosa for their kind support.

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Authors and Affiliations

  1. The University of Alabama, Tuscaloosa, AL, 35487, USA

    Mishal Thapa, Achyut Paudel & Sameer B. Mulani

  2. Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA

    Robert W. Walters

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  1. Mishal Thapa
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  2. Achyut Paudel
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  3. Sameer B. Mulani
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Correspondence to Mishal Thapa.

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Replication of results

The MATLAB codes for the presented framework and finite element analysis files for the application problems generated during this study are available in the GitHub repository, https://github.com/mthapa7/SAMO_UQGSAPFA_CODES.git.

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Thapa, M., Paudel, A., Mulani, S.B. et al. Uncertainty quantification and global sensitivity analysis for progressive failure of fiber-reinforced composites. Struct Multidisc Optim 63, 245–265 (2021). https://doi.org/10.1007/s00158-020-02690-5

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