Elastic fields and effective stiffness of ellipsoidal particle composite using the representative unit cell model and multipole expansion method

DOI10.1016/j.ijengsci.2020.103336OpenAlexW3036887619MaRDI QIDQ784949

Volodymyr I. Kushch

Publication date: 5 August 2020

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2020.103336

zbMATH Keywords

elasticityellipsoidmultipole expansionimperfect interfacerepresentative unit cellmodified Rayleigh scheme

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Related Items

Ellipsoidal inhomogeneity with anisotropic incoherent interface. Multipole series solution and application to micromechanics

Cites Work

• Introduction to computational micromechanics
• Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal particles
• The Rayleigh multipole method for linear elasticity
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• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Elastic interactions in particulate composites with perfect as well as imperfect interfaces
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Maxwell's methodology of estimating effective properties: alive and well
• Elastic interaction between ellipsoidal inhomogeneities with imperfect interface and effective stiffness of particulate composite
• Numerical algorithm of multipole expansion method for conductivity of ellipsoidal particle composite
• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• The elastic field outside an ellipsoidal inclusion
• A renormalization method for the evaluation of lattice sums
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