Multicomponent composites, electrical networks and new types of continued fraction. I

DOI10.1007/BF01217763zbMath0624.41017OpenAlexW2000683598MaRDI QIDQ1092250

Graeme Walter Milton

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01217763

zbMATH Keywords

transport problemscomplex effective conductivity tensorfield equation recursion method

Mathematics Subject Classification ID

Padé approximation (41A21) Convergence and divergence of continued fractions (40A15)

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Bounds on the shear modulus of composites by interface integral methods, Multicomponent composites, electrical networks and new types of continued fraction. II, A general representation for the effective dielectric constant of a composite, Third-order bounds on the conductivity of a random stacking of cubes, Approximating the Effective Tensor as a Function of the Component Tensors in Two-Dimensional Composites of Two Anisotropic Phases, Recovery of inclusion separations in strongly heterogeneous composites from effective property measurements, Effective operators and their variational principles for discrete electrical network problems, Multipoint matrix Padé approximant bounds on effective anisotropic transport coefficients of two-phase media, From microstructure-independent formulas for composite materials to rank-one convex, non-quasiconvex functions, New method to generate three-point bounds on effective properties of composites: Application to viscoelasticity, A continued fraction representation for the effective conductivity of a two-dimensional polycrystal, Extension of the Bessmertnyĭ realization theorem for rational functions of several complex variables, Electrostatic resonance of clusters of dielectric cylinders: a finite element simulation, Reconstruction, optimization, and design of heterogeneous materials and media: basic principles, computational algorithms, and applications, Exact relations for Green's functions in linear PDE and boundary field equalities: a generalization of conservation laws, Multiphase composites with extremal bulk modulus, A generalized differential effective medium theory

Cites Work

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