Modelling the effective conductivity function of an arbitrary two–dimensional polycrystal using sequential laminates

DOI10.1017/S030821050002864XzbMath0807.46091OpenAlexW2029356708MaRDI QIDQ4312032

Karen E. Clark, Graeme Walter Milton

Publication date: 13 February 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050002864x

zbMATH Keywords

effective conductivity tensorsequential laminationHilbert space of fieldstwo-dimensional polycrystalline material

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Statistical mechanics of crystals (82D25) Electromagnetic effects in solid mechanics (74F15)

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Approximating the Effective Tensor as a Function of the Component Tensors in Two-Dimensional Composites of Two Anisotropic Phases ⋮ A new route to finding bounds on the generalized spectrum of many physical operators ⋮ A theory of composites perspective on matrix valued Stieltjes functions ⋮ A Nyström algorithm for electrostatics of an anisotropic composite ⋮ A recursive-faulting model of distributed damage in confined brittle materials ⋮ A continued fraction representation for the effective conductivity of a two-dimensional polycrystal ⋮ Exact relations for Green's functions in linear PDE and boundary field equalities: a generalization of conservation laws

Cites Work

• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Representations for the conductivity functions of multicomponent composites
• Elliptic Partial Differential Equations of Second Order
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method
• A Theorem on the Conductivity of a Composite Medium