Numerical algorithm of multipole expansion method for conductivity of ellipsoidal particle composite

DOI10.1016/j.jcp.2020.109642OpenAlexW3034187375MaRDI QIDQ2124596

Volodymyr I. Kushch

Publication date: 11 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109642

zbMATH Keywords

conductivityellipsoidcompositemultipole expansionnumerical algorithm

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items

Orientation order parameters and effective conductivity of a 2-D solid with partially disordered array of circular inhomogeneities ⋮ Ellipsoidal inhomogeneity with anisotropic incoherent interface. Multipole series solution and application to micromechanics ⋮ Conductivity and elastic stiffness of spherical particle composite with partially disordered microstructure ⋮ Elastic fields and effective stiffness of ellipsoidal particle composite using the representative unit cell model and multipole expansion method

Cites Work

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• Random generation of periodic hard ellipsoids based on molecular dynamics: a computationally-efficient algorithm
• Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. II: Applications to ellipses and ellipsoids
• Introduction to computational micromechanics
• The effective conductivity of composites with imperfect thermal contact at constituent interfaces
• An algorithm for computing the effective linear elastic properties of heterogeneous materials: three-dimensional results for composites with equal phase Poisson ratios
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Variational methods, bounds, and size effects for composites with highly conducting interface
• Interacting ellipsoidal inhomogeneities by multipole expansion method and effective conductivity of particulate composite
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Maxwell's methodology of estimating effective properties: alive and well
• Fast Algorithms for Classical Physics
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• A renormalization method for the evaluation of lattice sums
• Local fields and effective conductivity tensor of ellipsoidal particle composite with anisotropic constituents
• On the effective conductivity of composites with ellipsoidal inhomogeneities and highly conducting interfaces
• On the Distance between Two Ellipsoids
• Computation of higher order ellipsoidal harmonics with an application in electroencephalography
• Random heterogeneous materials. Microstructure and macroscopic properties