A generalized self-consistent method for solids containing randomly oriented spheroidal inclusions

DOI10.1007/BF01179009zbMath0927.74018MaRDI QIDQ1290903

Arnaud Riccardi, Frank Montheillet

Publication date: 14 December 1999

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

effective modulithree-phase modellocalization problemenergy equivalence frameworkPapkovitch-Neuber approachspheroidal duplex inclusion problemspheroidal potentials

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Random structure in solid mechanics (74E35)

Related Items

The Eshelby problem of the confocal \(N\)-layer spheroid with imperfect interfaces and the notion of equivalent particle in thermal conduction, New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages., Stress fields of a spheroidal inhomogeneity with an interphase in an infinite medium under remote loadings, Stress-strain field around elliptic cavities in elastic continuum, Revisiting the generalized self-consistent scheme in composites: clarification of some aspects and a new formulation

Cites Work

• Some relations between Bessel and Legendre functions
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Solutions for effective shear properties in three phase sphere and cylinder models
• A generalized self-consistent mechanics method for composite materials with multiphase inclusions
• The effect of spatial distribution on the effective behavior of composite materials and cracked media
• Addition theorems of partial vector solutions of the Lamé equation in a spheroidal basis
• A macroscopic model for plastic flow in metal-matrix composites
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The Elastic Moduli of Heterogeneous Materials
• Translation et expansion des potentiels harmoniques sphéroïdaux ; application à deux problèmes d'élasticité linéaire
• A Generalized Self-Consistent Mechanics Method for Solids Containing Elliptical Inclusions
• Unnamed Item
• Unnamed Item