scholarly journals Discretization of Random Fields Representing Material Properties and Distributed Loads in FORM Analysis

2018 ◽  
Author(s):  
Ireneusz Czmoch
Keyword(s):  
Material Properties ◽  
Random Fields ◽  
Form Analysis

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 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

Accounting for spatial variability in partial factor based design verifications

2021 ◽  
Author(s):  
Wouter Botte ◽  
Robby Caspeele
Keyword(s):  
Spatial Variability ◽  
Spatial Correlation ◽  
Correlation Length ◽  
Material Properties ◽  
Random Fields ◽  
Structural Reliability ◽  
Engineering Practice ◽  
Traditional Design ◽  
Partial Factor Method ◽  
Partial Factor

<p>Traditional design and assessment approaches usually assume that e.g. material properties and environmental influences are uniform in space. However, it is well-known that such parameters can show considerable spatial variability. Furthermore, it has been shown that such spatial variability can significantly influence structural reliability. One way to account for spatial variability is by means of random fields. However, the use of such advanced calculations has not found its way to everyday engineering practice. Therefore, a methodology is developed in order to include spatial variability in the partial factor method in a way which is consistent with the current Eurocode format for design. This is done by introducing a separate partial factor which depends on the correlation length and the variability of the parameter under consideration. As such, an easy-to-use graph is generated, which can be applied in practice for the adjustment of partial factors to take into account spatial correlation. Finally, the proposed approach is validated by means of full-probabilistic calculations.</p>

Discretization Errors of Random Fields in Finite Element Analysis

2014 ◽  
Vol 553 ◽  
pp. 405-409 ◽  
Author(s):  
J. Huang ◽  
D.V. Griffiths ◽  
Andrei V. Lyamin ◽  
Kristian Krabbenhoft ◽  
Scott William Sloan
Keyword(s):  
Field Theory ◽  
Mechanical Properties ◽  
Finite Element ◽  
Material Properties ◽  
Random Fields ◽  
Element Analysis ◽  
Element Mesh ◽  
Random Field Theory ◽  
Correlation Lengths ◽  
Discretization Errors

The mechanical properties of natural materials such as rocks and soils vary spatially. This randomness is usually modelled by random field theory so that the material properties can be specified at each point in space. When these point-wise material properties are mapped onto a finite element mesh, discretization errors are inevitable. In this study, the discretization errors are studied and suggestions for element sizes in relation with spatial correlation lengths are given.

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