Stochastic stable node-based smoothed finite element method for uncertainty and reliability analysis of thermo-mechanical problems. (May 2020)

• Record Type: Journal Article
• Authors: Wang, Bing; Cai, Yong; Li, Zichao; Ding, Chensen; Yang, Tianjuan; Cui, Xiangyang
• Is Part Of: Engineering analysis with boundary elements. Volume 114(2020)
• Page Start: 23
• Page End: 44
• Publication Date: 2020-05
• Subjects: SNS-FEM -- Stochastic response analysis -- Thermo-mechanical problems -- Reliability analysis -- Thermal stress; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.02.002
• Languages: English
• ISSNs: 0955-7997

Abstract

Highlights: A stochastic stable node-based smoothed finite element method is proposed to deal with complex three-dimensional problems. Several mathematical models for reliability analysis of thermal stress are proposed. SNS-FEM is introduced into the analysis process to keep high-efficiency, high-accuracy, and high-stability. The effects of different mathematical models and uncertain parameters on the analysis results are taken into consideration. Abstract: This thesis herein proposes a stochastic stable node-based smoothed finite element method for uncertainty and reliability analysis of thermo-mechanical problems. First, the deterministic ingredient of the thermo-mechanical solution is accurately solved by our proposed stable node-based smoothed finite element method (SNS-FEM); and the stochastic ingredient including the fourth-order moment and probability density functions (PDFs) is obtained via stochastic response analysis. Furthermore, we extend the work to the reliability field by innovatively exploring several mathematical models for reliability analysis, such as structural failure probability (Pf) of thermal stress. At last, several thermo-mechanical related examples, including 2D and 3D, are hereby demonstrated to verify the accuracy and efficiency of the proposed stochastic stable node-based smoothed finite element method, by comparing with the direct classic Monte Carlo simulation (MCS). In addition, the effects of different uncertain parameters on the solution to the stochastic response and reliability analysis are illustrated and discussed.