On Sets of Multiple Equally Strong Holes in an Infinite Elastic Plate: Parameterization and Existence

DOI10.1137/18M1211210zbMath1425.74206OpenAlexW2990492289MaRDI QIDQ4973632

Jonathan S. Marshall

Publication date: 28 November 2019

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

Full work available at URL: https://doi.org/10.1137/18m1211210

zbMATH Keywords

conformal mappingmultiply connected domainsSchwarz functionautomorphic functionsnull quadrature domainsequally strong holes

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Inverse problems in equilibrium solid mechanics (74G75) 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) Explicit solutions of equilibrium problems in solid mechanics (74G05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (5)

A non-circular Eshelby inclusion near a non-parabolic inhomogeneity admitting internal uniform stresses ⋮ Uniform stresses inside a non-elliptical inhomogeneity and a nearby half-plane with locally wavy interface ⋮ Uniform anti‐plane stress field within two nonlinear elastic non‐elliptical inhomogeneities ⋮ Uniform stresses inside both a non-parabolic inhomogeneity and a non-elliptical inhomogeneity located in the vicinity of a circular Eshelby inclusion ⋮ A free boundary problem of elasticity in an angle and a vector Riemann-Hilbert problem on a torus

Uses Software

• SKPrime
• GitHub

Cites Work

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