A generalised Milne-Thomson theorem for the case of an elliptical inclusion

DOI10.1017/S0956792512000058zbMath1387.30060MaRDI QIDQ2895870

A. V. Fadeev, Yu. V. Obnosov

Publication date: 13 July 2012

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

analytic functionselliptic inclusionheterogeneous medium\(\mathbb R\)-linear conjugation problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25)

Related Items

Solution of a problem of \(\mathbb R\)-linear conjugation for confocal elliptical annulus in the class of piecewise meromorphic functions ⋮ An \(\mathbb{R}\)-linear conjugation problem for two concentric annuli ⋮ Regular hexagonal three-phase checkerboard

Cites Work

• A generalized Milne-Thomson theorem for the case of parabolic inclusion
• The non-uniform transformation strain problem for anisotropic ellipsoidal inclusion
• On a bounded elliptic elastic inclusion in plane magnetoelasticity.
• Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
• A generalized Milne-Thomson theorem
• Solution of certain problems of hydromechanics of filtration of a homogeneous liquid in a thin layer with macrocracks
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Dislocations in visco-elastic materials
• The Isotropic Ellipsoidal Inclusion With a Polynomial Distribution of Eigenstrain
• Conductivity of a two-dimensional composite containing elliptical inclusions
• On the elastic fields of an elliptical inhomogeneity under plane deformation
• ELLIPTIC ELASTIC INCLUSION IN AN INFINITE ELASTIC PLATE