Monte Carlo simulation-compatible stochastic field for application to expansion-based stochastic finite element method

2006 ◽  
Vol 84 (31-32) ◽  
pp. 2363-2372 ◽  
Author(s):  
Hyuk-Chun Noh ◽  
Taehyo Park
Keyword(s):  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Stochastic Field ◽  
Element Method

scholarly journals Influence of the Thermal Conductivity and Ambient Temperature Uncertainty on the Heat Losses through the External Wall

Buildings ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 84
Author(s):  
Marcin Koniorczyk ◽  
Witold Grymin
Keyword(s):  
Thermal Conductivity ◽  
Finite Element Method ◽  
Finite Element ◽  
Monte Carlo ◽  
Ambient Temperature ◽  
Energy Demand ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Internal Side ◽  
Element Method

Numerous parameters assumed in the calculations of the buildings’ energy demand are uncertain. Therefore, calculations should be accompanied by determination of propagation of such uncertainties in the mathematical model. In the article, the influence of uncertainty of thermal conductivity and ambient temperature has been studied by means of the generalized perturbation stochastic finite element method and compared against the Monte Carlo results, indicating good accordance. Expected value and variance of heat flux on the internal side of the wall have been investigated. The perturbation stochastic finite element method is much more efficient than the Monte Carlo method for the analysed problem. The largest variance of temperature is noted in the node between the constructive layer and insulation.

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

scholarly journals Monte Carlo Simulation for Exploring Mechanical Properties of Porous Materials Based on Scaled Boundary Finite Element Method

2022 ◽  
Vol 12 (2) ◽  
pp. 575
Author(s):  
Guangying Liu ◽  
Ran Guo ◽  
Kuiyu Zhao ◽  
Runjie Wang
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Monte Carlo Simulation ◽  
Finite Element ◽  
Monte Carlo ◽  
Porous Materials ◽  
Influencing Factors ◽  
Random Models ◽  
Scaled Boundary Finite Element ◽  
Element Method

The existence of pores is a very common feature of nature and of human life, but the existence of pores will alter the mechanical properties of the material. Therefore, it is very important to study the impact of different influencing factors on the mechanical properties of porous materials and to use the law of change in mechanical properties of porous materials for our daily lives. The SBFEM (scaled boundary finite element method) method is used in this paper to calculate a large number of random models of porous materials derived from Matlab code. Multiple influencing factors can be present in these random models. Based on the Monte Carlo simulation, after a large number of model calculations were carried out, the results of the calculations were analyzed statistically in order to determine the variation law of the mechanical properties of porous materials. Moreover, this paper gives fitting formulas for the mechanical properties of different materials. This is very useful for researchers estimating the mechanical properties of porous materials in advance.

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