Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids

DOI10.1007/BF01176087zbMath0719.73047OpenAlexW2078821903MaRDI QIDQ2640383

Yanyan Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01176087

zbMATH Keywords

lower boundVoronoi tessellationerrorcentroids of cellsmechanical properties of graph-representable materialsuniform strain approximationupper bound on the macroscopic moduli

Mathematics Subject Classification ID

Related Items (4)

Linear elasticity of planar Delaunay networks. III: Self-consistent approximations ⋮ An eigenstrain formulation for the prediction of elastic moduli of defective fiber networks ⋮ Micro-stress distribution within polycrystalline aggregate ⋮ A generalization of thermodynamic orthogonality to random media

Cites Work

• Unnamed Item
• A generalization of thermodynamic orthogonality to random media
• Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli
• The effective elastic moduli of a random packing of spheres
• Graph approach to the constitutive modelling of heterogeneous solids
• Variational and Related Methods for the Overall Properties of Composites

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