Multi Scale Random Sets: From Morphology to Effective Behaviour

DOI10.1007/978-3-642-25100-9_45zbMath1246.82048OpenAlexW136663043MaRDI QIDQ2905460

Dominique Jeulin

Publication date: 27 August 2012

Published in: Mathematics in Industry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-25100-9_45

Mathematics Subject Classification ID

Percolation (82B43)

Cites Work

• Elastic behavior of composites containing Boolean random sets of inhomogeneities
• Bounds on the elastic and transport properties of two-component composites
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• 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.
• The Elastic Moduli of Heterogeneous Materials
• Precise determination of the critical threshold and exponents in a three-dimensional continuum percolation model
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
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