Power laws variance scaling of Boolean random varieties

DOI10.1007/s11009-015-9464-5zbMath1370.60092OpenAlexW1889348269MaRDI QIDQ2404180

Dominique Jeulin

Publication date: 18 September 2017

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://hal-mines-paristech.archives-ouvertes.fr/hal-01207456/file/RVE-Poisson-Var-v6a.pdf

zbMATH Keywords

scaling lawBoolean modellong range correlationsnumerical homogenizationRVEPoisson varietiesintegral rangerandom fiber networksrandom strata

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (4)

Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model ⋮ Mean covariogram of cylinders and applications to Boolean random sets ⋮ An algorithm for generating microstructures of fiber‐reinforced composites with long fibers ⋮ A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution

Cites Work

• Elastic behavior of composites containing Boolean random sets of inhomogeneities
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry
• Space, structure, and randomness. Contributions in honor of Georges Matheron in the fields of geostatistics, random sets, and mathematical morphology.
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