scholarly journals Bayesian Credible Interval Finite Element Method Applied in the Bird-Striking Canopy Problem

2015 ◽  
Author(s):  
Changhong Liu ◽  
Bo Liu ◽  
Cunpan Yang ◽  
Junhong Qi ◽  
Yanbo Deng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Credible Interval ◽  
Bayesian Credible Interval ◽  
Interval Finite Element Method ◽  
Element Method

scholarly journals A substructure-based interval finite element method for problems with uncertain but bounded parameters

2017 ◽  
Vol 9 (1) ◽  
pp. 168781401668407
Author(s):  
Yihuan Zhu ◽  
Guojian Shao ◽  
Jingbo Su ◽  
Ang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Evaluation System ◽  
Nonlinear Problems ◽  
Expansion Method ◽  
Constant Matrix ◽  
Approximation Solution ◽  
Interval Finite Element Method ◽  
Necessary Constraints ◽  
Element Method

In this article, the dependency between different elements in solid structures is considered and a substructure-based interval finite element method is used to model the interval properties. The penalty method is applied to impose the necessary constraints for compatibility. In order to obtain the interval stresses, an approximation solution based on the Taylor expansion method is presented. Then, the proposed interval substructure model is expanded to nonlinear problems. In consideration of the nonlinear property of the elasticity modulus, an interval elastoplastic substructure analysis method using constant matrix based on the incremental theory is proposed and the interval expression of the interval stress updated formation is derived. Finally, numerical examples are carried out to demonstrate the reasonability and feasibility of the proposed method and evaluation system.

Fuzzy Finite Element Method in Diffusion Problems

2014 ◽  
pp. 309-328 ◽  
Author(s):  
S. Chakraverty ◽  
S. Nayak
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Transfer Fluid ◽  
Uncertain Differential Equation ◽  
Science And Engineering ◽  
Physical Problems ◽  
Interval Finite Element Method ◽  
Real Practice ◽  
Diffusion Problems ◽  
Element Method

Diffusion is an important phenomenon in various fields of science and engineering. It may arise in a variety of problems viz. in heat transfer, fluid flow problem and atomic reactors etc. As such these diffusion equations are being solved throughout the globe by various methods. It has been seen from literature that researchers have investigated these problems when the material properties, geometry (domain) etc. are in crisp (exact) form which is easier to solve. But in real practice the parameters used in the modelled physical problems are not crisp because of the experimental error, mechanical defect, measurement error etc. In that case the problem has to be defined with uncertain parameters and this makes the problem complex. In this chapter related uncertain differential equation of various diffusion problems will be investigated using finite element method, which may be called fuzzy or interval finite element method.

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