Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials

DOI10.1080/17476933.2013.876418zbMath1316.30041arXiv1304.0388OpenAlexW2132495781MaRDI QIDQ4983293

E. Pesetskaya, David Kapanadze, Gennady S. Mishuris

Publication date: 25 March 2015

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

Full work available at URL: https://arxiv.org/abs/1304.0388

zbMATH Keywords

complex potentialsfunctional equation method2D compositesteady-state conductivitytemperature/flux distribution

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) Elliptic functions and integrals (33E05)

Related Items (15)

Perturbation analysis of the effective conductivity of a periodic composite ⋮ 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 ⋮ Relationship between the effective thermal properties of linear and nonlinear doubly periodic composites ⋮ Singular behavior for a multi-parameter periodic Dirichlet problem ⋮ A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces ⋮ A composite material with inextensible-membrane-type interface ⋮ Mapping properties of weakly singular periodic volume potentials in Roumieu classes ⋮ 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

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