Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Susmita Naskar, Tanmoy Mukhopadhyay (Corresponding Author), Srinivas Sriramula

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This article presents a non-probabilistic fuzzy based multi-scale uncertainty propagation framework for studying the dynamic and stability characteristics of composite laminates with spatially varying system properties. Most of the studies concerning the uncertainty quantification of composites rely on probabilistic analyses, where the prerequisite is to have the statistical distribution of stochastic input parameters. In many engineering problems, these statistical distributions remain unavailable due to the restriction of performing large number of experiments. In such situations, a fuzzy-based approach could be appropriate to characterize the effect of uncertainty. A novel concept of fuzzy representative volume element (FRVE) is developed here for accounting the spatially varying non-probabilistic source-uncertainties at the input level. Such approach of uncertainty modelling is physically more relevant than the prevalent way of modelling non-probabilistic uncertainty without considering the ply-level spatial variability. An efficient radial basis function based stochastic algorithm coupled with the fuzzy finite element model of composites is developed for the multi-scale uncertainty propagation involving multi-synchronous triggering parameters. The concept of a fuzzy factor of safety (FFoS) is discussed in this paper for evaluation of safety factor in the non-probabilistic regime. The results
reveal that the present physically relevant approach of modelling fuzzy uncertainty considering plylevel spatial variability obtains significantly lower fuzzy bounds of the global responses compared to the conventional approach of non-probabilistic modelling neglecting the spatially varying attributes.
Original languageEnglish
Pages (from-to)940-967
Number of pages28
JournalComposite Structures
Early online date4 Oct 2018
Publication statusPublished - 1 Feb 2019

Bibliographical note

SN and SS are grateful for the support provided through the Lloyd’s Register Foundation Centre. The Foundation helps to protect life and property by supporting engineering-related education, public engagement and the application of research.


  • composite laminates
  • spatially varying fuzzy uncertainty
  • fuzzy representative volume element
  • fuzzy multi-scale analysis
  • radial basis function


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