scholarly journals A reduced polynomial chaos expansion method for the stochastic finite element analysis

Sadhana ◽  
2012 ◽  
Vol 37 (3) ◽  
pp. 319-340 ◽  
Author(s):  
B PASCUAL ◽  
S ADHIKARI
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Polynomial Chaos ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Analysis ◽  
Stochastic Finite Element Analysis

scholarly journals Stochastic Finite Element Analysis using Polynomial Chaos

2016 ◽  
Vol 38 (1) ◽  
pp. 33-43 ◽  
Author(s):  
S. Drakos ◽  
G.N. Pande
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stochastic Analysis ◽  
Polynomial Chaos ◽  
Computational Time ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Analysis ◽  
Stochastic Finite Element Analysis ◽  
Random Finite Element

Abstract This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical problems feasible. This is achieved by polynomial chaos expansion of the displacement field. An example of a plane-strain strip load on a semi-infinite elastic foundation is presented and results of settlement are compared to those obtained from Random Finite Element Analysis. A close matching of the two is observed.

Stochastic Finite Element Method Using Polynomial Chaos Expansion

2011 ◽  
Vol 199-200 ◽  
pp. 500-504 ◽  
Author(s):  
Wei Zhao ◽  
Ji Ke Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Polynomial Chaos ◽  
Expansion Method ◽  
Polynomial Chaos Expansion ◽  
Polynomial Expansion ◽  
Stochastic Finite Element Method ◽  
Chaos Expansion ◽  
Stochastic Finite Element ◽  
Element Method

We present a new response surface based stochastic finite element method to obtain solutions for general random uncertainty problems using the polynomial chaos expansion. The approach is general but here a typical elastostatics example only with the random field of Young's modulus is presented to illustrate the stress analysis, and computational comparison with the traditional polynomial expansion approach is also performed. It shows that the results of the polynomial chaos expansion are improved compared with that of the second polynomial expansion method.

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