Perturbative Expansions and Critical Phenomena in Random Structured Media

DOI10.1007/978-3-319-72640-3_9zbMath1460.74074OpenAlexW2793339483MaRDI QIDQ4612253

Dmitry A. Karpeev, Simon Gluzman

Publication date: 22 January 2019

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

Full work available at URL: https://doi.org/10.1007/978-3-319-72640-3_9

zbMATH Keywords

Fourier expansionactive suspensioneffective conductivityeffective shear modulusdiscontinuous transition

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Random structure in solid mechanics (74E35)

Cites Work

• Are biological systems poised at criticality?
• Self-similar factor approximants for evolution equations and boundary-value problems
• The Theory of Composites
• A Theorem on the Conductivity of a Composite Medium
• The determination of the bulk stress in a suspension of spherical particles to order c 2
• A mathematical example displaying features of turbulence
• Random heterogeneous materials. Microstructure and macroscopic properties

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