Mathematical Models of Mechanical Fields in Media with Inclusions and Holes

DOI10.1007/978-1-4939-1246-9_2zbMath1314.31002OpenAlexW2186900778MaRDI QIDQ5251545

Michail A. Zhuravkov, Andrei V. Krupoderov, Alexey A. Kushunin, Marta Bryla, Vladimir V. Mityushev

Publication date: 20 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1246-9_2

zbMATH Keywords

harmonic functionsbiharmonic functionsgas flows in rigid bodiesgeneralized alternating method of Schwarz (GMS)problems of mechanicsviscoelastic problems in porous media

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Gas dynamics (general theory) (76N15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Explicit solutions of equilibrium problems in solid mechanics (74G05) Integral equations with kernels of Cauchy type (45E05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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Cites Work

• Mathematical methods in electro-magneto-elasticity
• ℝ-linear and Riemann–Hilbert Problems for Multiply Connected Domains
• Capacity and Transport in Contrast Composite Structures
• Conductivity of a two-dimensional composite containing elliptical inclusions
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