Uncertainty quantification and global sensitivity analysis for progressive failure of fiber-reinforced composites
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RESEARCH PAPER
Uncertainty quantification and global sensitivity analysis for progressive failure of fiber-reinforced composites Mishal Thapa1
· Achyut Paudel1 · Sameer B. Mulani1 · Robert W. Walters2
Received: 12 March 2020 / Revised: 31 May 2020 / Accepted: 13 July 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
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. Keywords Fiber-reinforced composites · Progressive failure analysis · Uncertainty quantification · Global sensitivity analysis · Puck failure criterion
1 Introduction The tremendous growth in applications of composite structures in several disciplines such as aerospace, automotive,
Responsible Editor: Helder C. Rodrigues Mishal Thapa
[email protected] Achyut Paudel [email protected] Sameer B. Mulani [email protected] Robert W. Walters [email protected] 1
The University of Alabama, Tuscaloosa, AL 35487, USA
2
Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA
marine, and sports, can be attributed to its superior characteristics such as high stiffness/strength to weight ratio, tailorability, durability, and manufacturability (Kanout´e et al. 2009). The application of the composite structures is expected to grow further in the near future due to an improvement in the understanding of the behavior of composites and the developments of state of the art manufacturing technologies. However, we are still unable to fully comprehend the complex failure mechanisms and damage mechanics of composite structures due to its nonhomogeneous and orthotropic nat
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