ON THE EFFECTIVE DIFFUSIVITY MODEL FOR HEAT DIFFUSION IN INCLINED RANDOM LAMINATES

DOI10.1093/QJMAM/39.1.139zbMath0574.73120OpenAlexW2093702728MaRDI QIDQ3693066

N. S. Clarke

Publication date: 1986

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/39.1.139

zbMATH Keywords

method of multiple scalessequential processoblique coordinate system'low' driving frequencycompletely random telegraph processdetailed structure of the laminate is irrelevantdiffusion is driven slowly enoughdiffusivity depending only on coarse propertieseach type of materialestimate for the frequency rangeexpected temperature fieldsgeometrical generalizationsinvoked equivalent homogeneous materiallaminae inclined at arbitrary angle to principle direction of heat flowmore general processproportions of constituent laminaesystem of N coupled partial-differential equations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Theoretical approximation in context of PDEs (35A35) Random materials and composite materials (74A40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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