ICCM Conferences, The 8th International Conference on Computational Methods (ICCM2017)

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Fuzzy static analysis of engineering structures involving functionally graded materials
Di Wu, Airong Liu, Wei Gao

Last modified: 2017-06-19


This work is focusing on the uncertain static analysis of functionally graded structures with fuzzy parameters. The non-deterministic Young’s moduli of functionally graded structural elements, as well as the applied loads are modeled as fuzzy variables with associated membership functions. By applying the  strategy, the fuzzy linear problem can be meticulously transformed into a series of interval system of linear equation. Within the context of interval static analysis of functionally graded structures, the mathematical programming approach is adopted such that the extreme bounds (i.e., upper and lower bounds) of any concerned structural responses (i.e., structural displacement and stress) at any specific  can be robustly determined. Consequently, the membership functions of the concerned structural responses are respectively established. In order to demonstrate the effectiveness and efficiency of the proposed method, one practically motivated functionally graded structure is thoroughly investigated. In addition, some numerical experiments are conducted such that various theoretical and practical aspects regarding the uncertain static analysis of functionally graded structures can be further explored.

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