Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains

2019 ◽  
Vol 97 ◽  
pp. 39-45 ◽  
Author(s):  
S. Chu ◽  
J. Guilleminot
Keyword(s):  
Multiscale Modeling ◽  
Material Properties ◽  
Random Fields ◽  
Nonconvex Domains

scholarly journals A computational modeling approach based on random fields for short fiber-reinforced composites with experimental verification by nanoindentation and tensile tests

2021 ◽  
Author(s):  
Natalie Rauter
Keyword(s):  
Numerical Simulations ◽  
Correlation Functions ◽  
Material Properties ◽  
Random Fields ◽  
Tensile Tests ◽  
Short Fiber ◽  
Fiber Reinforced Composites ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Component Level

AbstractIn this study a modeling approach for short fiber-reinforced composites is presented which allows one to consider information from the microstructure of the compound while modeling on the component level. The proposed technique is based on the determination of correlation functions by the moving window method. Using these correlation functions random fields are generated by the Karhunen–Loève expansion. Linear elastic numerical simulations are conducted on the mesoscale and component level based on the probabilistic characteristics of the microstructure derived from a two-dimensional micrograph. The experimental validation by nanoindentation on the mesoscale shows good conformity with the numerical simulations. For the numerical modeling on the component level the comparison of experimentally obtained Young’s modulus by tensile tests with numerical simulations indicate that the presented approach requires three-dimensional information of the probabilistic characteristics of the microstructure. Using this information not only the overall material properties are approximated sufficiently, but also the local distribution of the material properties shows the same trend as the results of conducted tensile tests.

scholarly journals Prior Representations of Random Fields for Stochastic Multiscale Modeling

2013 ◽  
Vol 6 ◽  
pp. 44-49
Author(s):  
Johann Guilleminot ◽  
Christian Soize
Keyword(s):  
Multiscale Modeling ◽  
Random Fields

scholarly journals Characterisation of the spatial variability of material properties of Gilsocarbon and NBG-18 using random fields

2018 ◽  
Vol 511 ◽  
pp. 91-108 ◽  
Author(s):  
José David Arregui-Mena ◽  
Philip D. Edmondson ◽  
Lee Margetts ◽  
D.V. Griffiths ◽  
William E. Windes ◽  
...  
Keyword(s):  
Spatial Variability ◽  
Material Properties ◽  
Random Fields
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