COMPUTATIONAL EPISTEMIC UNCERTAINTY MODELING OF SINGLE EDGE CRACKED PLATES USING THE FUZZY FINITE ELEMENT METHOD (FUZZYFEM)

This study investigates the analysis of a two-dimensional (2D) single-edge crack plate using the Fuzzy Finite Element Method (FuzzyFEM), incorporating uncertainties inherent in engineering systems. Addressing critical engineering challenges, such as damage progression or loading effects from real-world conditions, requires consideration of uncertainty as an unavoidable factor. These uncertainties arise from incomplete data, conflicting information, and subjective interpretations, necessitating systematic approaches to mitigate material failure in engineering applications. The primary objective of this research is to evaluate the application of FuzzyFEM while accounting for epistemic uncertainties associated with single-edge crack plates. Accurately modeling these uncertainties is crucial for improving the reliability of structural assessments. To achieve this, a fuzzy system is proposed as an effective approach. Unlike conventional statistical methods, fuzzy system theory is a non-probabilistic technique well-suited for handling uncertainty when data is limited. The methodology begins with fuzzification, where crisp inputs are transformed into fuzzy values, followed by a core mapping process. At the mapping stage, a hybrid approach integrating fuzzy systems with the finite element method is employed. The extension principle method is used to numerically process fuzzy inputs, allowing for systematic uncertainty quantification. The results of this study, presented in figures and tables, demonstrate the efficiency and reliability of the proposed FuzzyFEM approach. By incorporating fuzzy logic into finite element analysis, this method provides a more comprehensive framework for addressing uncertainties in structural integrity assessments, offering valuable insights for engineering applications.