Slit Maps in the Study of Equal-Strength Cavities in $n$-Connected Elastic Planar Domains

DOI10.1137/17M1120919zbMath1387.74009arXiv1703.04896OpenAlexW2595578162MaRDI QIDQ4602781

Yuri A. Antipov

Publication date: 2 February 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04896

zbMATH Keywords

Riemann surfacesconformal mappingRiemann-Hilbert problemequal-strength cavities

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Optimization of other properties in solid mechanics (74P10) Conformal mappings of special domains (30C20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Boundary value problems in the complex plane (30E25)

Related Items (5)

Effect of a circular Eshelby inclusion on the non‐elliptical shape of a coated neutral inhomogeneity with internal uniform stresses ⋮ Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity ⋮ Method of Riemann surfaces for an inverse antiplane problem in an n-connected domain ⋮ On Sets of Multiple Equally Strong Holes in an Infinite Elastic Plate: Parameterization and Existence ⋮ A free boundary problem of elasticity in an angle and a vector Riemann-Hilbert problem on a torus

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