Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity
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Publication:5113809
DOI10.1137/19M1246225zbMath1447.35318arXiv1809.10373OpenAlexW3034866590MaRDI QIDQ5113809
Mikyoung Lim, Graeme Walter Milton
Publication date: 17 June 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10373
Conformal mappings of special domains (30C20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- Cloaking via anomalous localized resonance for doubly complementary media in the quasistatic regime
- Discreteness of interior transmission eigenvalues revisited
- Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method
- Large isotropic elastic deformation of composites and porous media
- Inverse problems of the plane theory of elasticity
- Integral equation of the inverse problem of the plane theory of elasticity
- Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction
- Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
- Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
- Elastic inclusion problems in plane elastostatics
- Active cloaking of inclusions for flexural waves in thin elastic plates
- Active elastodynamic cloaking
- An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions
- Hashin–Shtrikman bounds and their attainability for multi-phase composites
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- The Elastic Moduli of Heterogeneous Materials
- Inclusion Pairs Satisfying Eshelby's Uniformity Property
- The stability for the Cauchy problem for elliptic equations
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- On the Elliptic Inclusion in Anti-Plane Shear
- The Theory of Composites
- Neutral coated inclusions in conductivity and anti–plane elasticity
- Slit Maps in the Study of Equal-Strength Cavities in $n$-Connected Elastic Planar Domains
- Active Exterior Cloaking for the 2D Laplace and Helmholtz Equations
- Solutions to the Periodic Eshelby Inclusion Problem in Two Dimensions
- Coated inclusions of finite conductivity neutral to multiple fields in two-dimensional conductivity or anti-plane elasticity
- Criteria for guaranteed breakdown in two-phase inhomogeneous bodies
- Enhancement of Near Cloaking for the Full Maxwell Equations
- Solutions to the Eshelby conjectures
