Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion

Keywords

Closure (psychology), Isotropy, Set (abstract data type), Convergence (economics), Conductivity

References

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• Compacité par compensationFrançois Murat — 1978
• The theory of matricesA. S. H., Peter Lancaster — 1969
• Accurate estimates of the conductivity of mixtures formed of two materials in a given proportion (two-dimensional problem)K.A. Lur'e, Andrej Cherkaev — 1982
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• Bounds for the effective conductivity of random mediaW. Kohler, G. Papanicolaou — 1982

Cited by

• Effective Conductivity of Nonlinear Two-Phase Media: Homogenization and Two-Point Padé ApproximantsJ.J. Telega, S. Tokarzewski, A. Gałka — 2000
• A relaxed control problem for two-phase conductorsElio Cabib — 1987
• Dielectric breakdown: optimal boundsAdriana Garroni, Vincenzo Nesi, Marcello Ponsiglione — 2001
• Optimización estructural y diseño de materiales: una incursión matemática en ingenieríaJosé Carlos Guerrero, Alberto Donoso Bellón — 2013
• A note on bounds for non-linear multivalued homogenized operatorsNils Svanstedt — 1998
• Upper bounds for multiphase composites in any dimensionLuís Silvestre — 2010
• Energy-minimizing microstructures in multiphase elastic solidsIsaac V. Chenchiah — 2004
• On the Relation Between Extremal Elasticity Tensors with Orthotropic Symmetry and Extremal PolynomialsDavit Harutyunyan, Graeme W. Milton — 2014
• On the general homogenization of von Karman plate equations from 3D nonlinear elasticityIgor Velčić — 2013
• Inverse Bounds and Bulk Properties of Complex-Valued Two-Component CompositesChristian Engström — 2006
• Self-assembled ceramics produced by complex-fluid templation.Daniel M. Dabbs, İlhan A. Aksay — 2000
• Least-weight design of perforated elastic plates. IIG. I. N. Rozvany, T. G. Ong, W.T. Szeto — 1987
• The total creep of viscoelastic composites under hydrostatic or antiplane loadingVladimir Vinogradov, Graeme W. Milton — 2005
• Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetryRobert Lipton — 1992
• Computational design of multi-phase microstructural materials for extremal conductivityShiwei Zhou, Qing Li — 2008
• Bounds on the volume of an inclusion in a body from a complex conductivity measurementAndrew E. Thaler, Graeme W. Milton — 2013
• On coercivity and regularity for linear elliptic systemsKewei Zhang — 2011
• A complete characterization of invariant jointly rank-r convex quadratic forms and applications to composite materialsVincenzo Nesi, Enrico Rogora — 2007
• The nearly isotropic behaviour of high-rank nonlinear sequentially laminated compositesI H Harrison, Gal deBotton — 2003
• Commutability of homogenization and linearization at identity in finite elasticity and applicationsAntoine Gloria, Stefan Neukamm — 2011

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