Conductivity of a composite containing uniformly oriented penny–shaped cracks or perfectly conducting discs

DOI10.1098/rspa.2000.0535zbMath0957.74039OpenAlexW2118498481MaRDI QIDQ4946528

Ashok S. Sangani, Volodymyr I. Kushch

Publication date: 22 March 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0535

zbMATH Keywords

penny-shaped crackcomposite materialpenny-shaped crackseffective conductivityperiodic arrangementisotropic matrixparallel discsrandom arrangementadditon theoremsconducting discsmethod of multipole expansionnon-conducting discs

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Random structure in solid mechanics (74E35)

Related Items (6)

Dipole moments, property contribution tensors and effective conductivity of anisotropic particulate composites ⋮ Effect of crack orientation statistics on effective stiffness of mircocracked solid ⋮ Effect of double-diffusive heat transfer on thermal conductivity of porous sintered ceramics: macrotransport analysis ⋮ Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks ⋮ Effective conductivity of anisotropic media with crack-like inclusions and cracks of arbitrary shapes ⋮ Effective permeability of anisotropic porous materials containing periodically or randomly distributed cracks

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