Bounds on non-local effective relations for random composites loaded by configuration-dependent body force

DOI10.1016/S0022-5096(99)00099-XzbMath1007.74011OpenAlexW2082461076MaRDI QIDQ1577366

N. Delaunay

Publication date: 18 March 2003

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(99)00099-x

zbMATH Keywords

Hashin-Shtrikman boundsminimum energy principlenon-localitymean stressconstitutive operatoreffective modulusconfiguration-dependent body forcemean energyrandom composite material

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Random materials and composite materials (74A40) Random structure in solid mechanics (74E35)

Related Items (10)

New insights on homogenization for hexagonal-shaped composites as Cosserat continua ⋮ Boundary-layer corrections for stress and strain fields in randomly heterogeneous materials. ⋮ FE analysis of stress and strain fields in finite random composite bodies ⋮ On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media ⋮ Generalized form of boundary value problems method for material modeled as micro-polar media subjecting to the thermo-mechanical interaction ⋮ On modifications of Newton's second law and linear continuum elastodynamics ⋮ Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces ⋮ A quantitative assessment of the scale separation limits of classical and higher-order asymptotic homogenization ⋮ Locally exact asymptotic homogenization of periodic materials under anti-plane shear loading ⋮ Non-Local Models of Stress Field Concentrations and Effective Thermoelastic Properties of Random Structure Composites

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