Scale and boundary conditions effects on elastic properties of random composites

DOI10.1007/BF01183669zbMath1015.74047OpenAlexW2030419921MaRDI QIDQ5943962

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Publication date: 17 July 2003

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

Full work available at URL: https://doi.org/10.1007/bf01183669

zbMATH Keywords

conjugate gradient methodrepresentative volume elementmixed boundary conditionsperiodic boundary conditions\(n\)-point probability distributionsapparent anti-plane elastic modulicylindrical fibersdisplacement boundary conditionsmesoscale continuum modelsrandom fiber compositescale dependent hierarchyscale effectsspring network discretizationtraction boundary conditionsunidirectional compositeswindows of observation

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Random materials and composite materials (74A40) Random structure in solid mechanics (74E35)

Related Items (7)

A micromechanically based couple-stress model of an elastic orthotropic two-phase composite. ⋮ Geometric partitioning schemes to reduce modeling bias in statistical volume elements smaller than the scale of isotropic and homogeneous size limits ⋮ Towards stochastic continuum thermodynamics. ⋮ Systematic study of homogenization and the utility of circular simplified representative volume element ⋮ Bounds and scaling laws at finite scales in planar elasticity ⋮ Three-dimensional finite element implementation of the nonuniform transformation field analysis ⋮ Homogenized moduli and local stress fields of random fiber composites under homogeneous and periodic boundary conditions

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• Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
• Elastic properties of reinforced solids: Some theoretical principles
• Analysis of Composite Materials—A Survey
• Microstructural disorder, mesoscale finite elements and macroscopic response
• Scale-dependent bounds on effective elastoplastic response of random composites

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