Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli

DOI10.1007/BF01178180zbMath0711.73275OpenAlexW2076689749MaRDI QIDQ922845

Elsie Sterbin Gottlieb

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01178180

zbMATH Keywords

effective modulirandom geometrycontinuum approximationVoronoi tessellationsdisordered microstructuresfirst and second order characteristicsmicroscale geometric and physical randomnessmodified Delaunay networksrandom spring constantsregular triangular networks

Mathematics Subject Classification ID

Related Items (9)

Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids ⋮ Linear elasticity of planar Delaunay networks. III: Self-consistent approximations ⋮ Numerical homogenization ofN-component composites including stochastic interface defects ⋮ Mesoscale bounds in finite elasticity and thermoelasticity of random composites ⋮ Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli ⋮ An eigenstrain formulation for the prediction of elastic moduli of defective fiber networks ⋮ Micro-stress distribution within polycrystalline aggregate ⋮ Probabilistic effective characteristics of cables for superconducting coils ⋮ A generalization of thermodynamic orthogonality to random media

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