Stochastic finite element method homogenization of heat conduction problem in fiber composites

2001 ◽  
Vol 11 (4) ◽  
pp. 373-392 ◽  
Author(s):  
Marcin Kaminski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Fiber Composites ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Element Method

Higher-Order Sensitivity of Heat Conduction Problems to Random Data Using the Spectral Stochastic Finite Element Method

1999 ◽  
Vol 121 (2) ◽  
pp. 290-299 ◽  
Author(s):  
R. Ghanem
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Material Properties ◽  
Random Medium ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Log Normal ◽  
Random Fluctuations ◽  
Element Method

The spectral formulation of the stochastic finite element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. This paper introduces the basic concepts of the spectral stochastic finite element method using a simple one-dimensional heat conduction examples. The implementation of the method is demonstrated for both Gaussian and log-normal material properties. Moreover, the case of the material properties being modeled as random variables is presented as a simple digression of the formulation for the stochastic process case. Both Gaussian and log-normal models for the material properties are treated.

Modal properties of macaw palm fruit-rachilla system: An approach by the stochastic finite element method (SFEM)

2021 ◽  
Vol 184 ◽  
pp. 106099
Author(s):  
Fábio Lúcio Santos ◽  
Francisco Scinocca ◽  
Deisenara de Siqueira Marques ◽  
Nara Silveira Velloso ◽  
Flora Maria de Melo Villar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Palm Fruit ◽  
Modal Properties ◽  
Macaw Palm ◽  
Element Method
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