A quantitative study of minimum sizes of representative volume elements of cubic polycrystals-numerical experiments

DOI10.1016/S0022-5096(01)00102-8zbMath1116.74337OpenAlexW2019065793MaRDI QIDQ1601704

R. Smith

Publication date: 27 June 2002

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(01)00102-8

zbMATH Keywords

MicrostructuresFinite elementElastic materialRepresentative volume elementPolycrystal material

Mathematics Subject Classification ID

Related Items (7)

A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems ⋮ Automatic 3-D simulation and micro-stress distribution of polycrystalline metallic materials ⋮ Numerical determination of representative volumes for granular materials ⋮ Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity ⋮ Quantification of stochastically stable representative volumes for random heterogeneous materials ⋮ Direct numerical simulations in solid mechanics for understanding the macroscale effects of microscale material variability ⋮ A random field-based method to estimate convergence of apparent properties in computational homogenization

Cites Work

• Random field models of heterogeneous materials
• A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
• Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
• Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites
• Reduced dependence of defect compliance on matrix and inclusion elastic properties in two-dimensional elasticity
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