Fundamental solutions for periodic media

DOI10.1155/2014/473068zbMath1310.74040OpenAlexW2089470310WikidataQ59045976 ScholiaQ59045976MaRDI QIDQ2019262

Sergey V. Kuznetsov

Publication date: 27 March 2015

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/473068

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Fracture and damage (74R99) Flows in porous media; filtration; seepage (76S05) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

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• Asymptotic analysis of acoustic waves in a porous medium: Initial layers in time
• Effective elasticity tensor of a periodic composite
• Elastic coefficients of composites containing spherical inclusions in a periodic array
• Some singular solutions of the theory of elasticity
• The effective elasticity tensors for dispersed composites
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• On effective moduli of an elastic body containing periodically distributed voids
• Slow flow through a periodic array of spheres
• On effective moduli of an elastic body containing periodically distributed voids: Comments and corrections
• Microstructural stresses in porous media
• Homogenization and Two-Scale Convergence
• Direct boundary integral equation method in the theory of elasticity

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