The Clausius--Mossotti Formula in a Dilute Random Medium with Fixed Volume Fraction

DOI10.1137/130932971zbMath1326.74111OpenAlexW2025646382MaRDI QIDQ5251792

Yaniv Almog

Publication date: 21 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130932971

zbMATH Keywords

convergencehomogenizationboundary value problemLaplace equationspherical inclusions

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Effective constitutive equations in solid mechanics (74Q15) Processes in random environments (60K37) PDEs with randomness, stochastic partial differential equations (35R60) Random structure in solid mechanics (74E35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)

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Smoothness of the diffusion coefficients for particle systems in continuous space ⋮ The Clausius–Mossotti formula ⋮ Efficient methods for the estimation of homogenized coefficients ⋮ Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids ⋮ The Clausius--Mossotti Formula for Dilute Random Media of Perfectly Conducting Inclusions ⋮ Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas

Cites Work

• Elliptic partial differential equations of second order
• Averaging of dilute random media: a rigorous proof of the Clausius-Mossotti formula
• Geometric aspects of averaging
• The Theory of Composites
• Generalized Clausius-Mossotti formula for random composite with circular fibers.
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