Flaherty-Keller formula on the effective property of densely packed elastic composite media in three dimensions

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Publication date: 21 November 2024

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

effective shear modulus elastic composite effective extension modulus Flaherty-Keller formula

Overdetermined systems of PDEs with constant coefficients (35N05) Elliptic equations and elliptic systems (35Jxx) Elastic materials (74Bxx)

Cites Work

On an elliptic equation arising from composite materials
Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
Gradient estimates for the perfect conductivity problem
Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions
Optimal estimates for the conductivity problem by Green's function method
Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity
An extended Flaherty-Keller formula for an elastic composite with densely packed convex inclusions
Gradient estimates for solutions of the Lamé system with partially infinite coefficients
A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites
Lower bounds of gradient's blow-up for the Lamé system with partially infinite coefficients
Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
Estimates for elliptic systems from composite material
Asymptotics of the effective conductivity of composites with closely spaced inclusions of optimal shape
An Elliptic Regularity Result for a Composite Medium with "Touching" Fibers of Circular Cross-Section
A Theorem on the Conductivity of a Composite Medium
Elastic behavior of composite media
Network approximation in the limit of small interparticle distance of the effective properties of a high-contrast random dispersed composite
Spectrum of the Neumann–Poincaré Operator and Optimal Estimates for Transmission Problems in the Presence of Two Circular Inclusions

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