A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters. Issue 1 (October 2016)

• Record Type: Journal Article
• Authors: Dridger, Alex; Caylak, Ismail; Mahnken, Rolf
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 667
• Page End: 668
• Publication Date: 2016-10
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610322
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: This work employs a fuzzy finite element method (FFEM) in order to characterize the non‐statistical properties based on the possibility theory [2]. A linear elastic body with fuzzy input material parameters Young's modulus$\tilde{E}$ and Poisson's ratio$\tilde{\nu}$ is studied. To this end, the fuzzy parameters are represented by possibility distributions generated from sparse experimental data. A computational approach involving the α‐level discretization technique [4] is used in order to calculate the possibility of the system response. Finally, our method is applied in a numerical example. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)