Cluster method in composites and its convergence

DOI10.1016/j.aml.2017.10.001zbMath1462.74041OpenAlexW2764244313MaRDI QIDQ1691028

Vladimir V. Mityushev

Publication date: 12 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.10.001

zbMATH Keywords

effective conductivityconvergent series solutionMaxwell formalism

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (11)

Windows washing method of multiscale analysis of the in-situ nano-composites ⋮ Unnamed Item ⋮ Effective properties of two-dimensional dispersed composites. II: Revision of self-consistent methods ⋮ Refinement of the Maxwell formula for composite reinforced by circular cross-section fibers. I: Using the Schwarz alternating method ⋮ Conductivity of two‐dimensional composites with randomly distributed elliptical inclusions ⋮ Analysis of distributions of stadiums on the plane using \(e\)-sums ⋮ Boundary value problems and their applications to 2D composites theory ⋮ Regularization method for stable structural features ⋮ Effective conductivity of a random suspension of highly conducting spherical particles ⋮ Schwarz's alternating method in a matrix form and its applications to composites ⋮ Effective Properties of Fibrous Composites and Cluster Convergence

Cites Work

• A criterion of collective behavior of bacteria
• Generalized Eisenstein functions
• Elliptic functions according to Eisenstein and Kronecker.
• Maxwell's approach to effective conductivity and its limitations
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• Unnamed Item

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