Properties of a composite material with mixed imperfect contact conditions. (English) Zbl 1488.30226
Summary: We present an analytical solution of a mixed boundary value problem for an unbounded 2D doubly periodic domain which is a model of a composite material with mixed imperfect interface conditions. We find the effective conductivity of the composite material with mixed imperfect interface conditions, and also give numerical analysis of several of their properties such as temperature and flux.
MSC:
30E25 | Boundary value problems in the complex plane |
30D05 | Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable |
31A05 | Harmonic, subharmonic, superharmonic functions in two dimensions |
35B27 | Homogenization in context of PDEs; PDEs in media with periodic structure |
39B32 | Functional equations for complex functions |
74E30 | Composite and mixture properties |
74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |
74M15 | Contact in solid mechanics |
74Q05 | Homogenization in equilibrium problems of solid mechanics |
74S70 | Complex-variable methods applied to problems in solid mechanics |
Keywords:
unbounded 2D doubly periodic composite material; functional equations; effective conductivity; non-ideal contact conditionReferences:
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