Effective conductivity of a composite material with non-ideal contact conditions

DOI10.1080/17476930903275995zbMath1184.30029OpenAlexW2002918068MaRDI QIDQ3653314

E. Pesetskaya, Luis Filipe Pinheiro de Castro, Sergei V. Rogosin

Publication date: 22 December 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903275995

zbMATH Keywords

mixed boundary value problems2D composite materialsteady-state conductivity problem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (15)

A heat conduction problem of 2D unbounded composites with imperfect contact conditions ⋮ A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach ⋮ Asymptotic Analysis of Solutions to Transmission Problems in Solids with Many Inclusions ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ A composite material with inextensible-membrane-type interface ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach ⋮ A singularly perturbed nonlinear Robin problem in a periodically perforated domain: a functional analytic approach† ⋮ A transmission problem with imperfect contact for an unbounded multiply connected domain ⋮ Effective conductivity of a periodic dilute composite with perfect contact and its series expansion ⋮ Effective conductivity of a composite material with stiff imperfect contact conditions ⋮ Shape analysis of the longitudinal flow along a periodic array of cylinders ⋮ Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions ⋮ PROPERTIES OF A COMPOSITE MATERIAL WITH MIXED IMPERFECT CONTACT CONDITIONS ⋮ A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

Cites Work

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• Increase and decrease of the effective conductivity of two-phase composites due to polydispersity
• A functional-differential equation in a class of analytic functions and its application
• Composites with imperfect interface
• Effective conductivity of unidirectional cylinders with interfacial resistance
• Representative cell in mechanics of composites and generalized Eisenstein–Rayleigh sums
• Effective conductivity of composite materials with random positions of cylindrical inclusions: finite number inclusions in the cell
• Generalized Clausius-Mossotti formula for random composite with circular fibers.

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