An exact analytical solution of an \(\mathbb{R}\)-linear conjugation problem for a \(n\)-phased concentric circular heterogeneous structure

DOI10.1016/j.apm.2015.12.027zbMath1465.74059OpenAlexW2217730437MaRDI QIDQ2290875

Anatolii Kazarin, Yu. V. Obnosov

Publication date: 29 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2015.12.027

zbMATH Keywords

heterogeneous mediaanalytic functionsrefraction\(\mathbb{R}\)-linear conjugation problemannular structures

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (1)

Regular hexagonal three-phase checkerboard

Cites Work

• \(\mathbb R\)-linear problem for multiply connected domains and alternating method of Schwarz
• A generalized Milne-Thomson theorem for the case of parabolic inclusion
• A linear functional equation with a singularity at a fixed point
• The behavior of structures composed of composite materials.
• Self-consistent methods for composites. Vol. 1: Static problems
• A generalized Milne-Thomson theorem
• Three–phase eccentric annulus subjected to a potential field induced by arbitrary singularities
• The Theory of Composites
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