Graph approach to the constitutive modelling of heterogeneous solids

DOI10.1016/0093-6413(87)90038-3zbMath0635.73007OpenAlexW2052777486MaRDI QIDQ1097731

Martin Ostoja-Starzewski

Publication date: 1987

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(87)90038-3

zbMATH Keywords

constitutive lawsgraph representationdual grapheffective failure surfaceelastic-inelastic edge interactionsfourth-order elasticity tensorgrains of arbitrary polygonal convex shapesgranular-type materialsheterogeneous spatially random materialinclusion of microscale randomnesslinear elastic interactionsscale of a single cellstatistical continuum approximationstatistical family of failurestochastic problem of percolation of inelastic edges

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Inhomogeneity in solid mechanics (74E05) Random materials and composite materials (74A40) Theory of constitutive functions in solid mechanics (74A20)

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Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids ⋮ Wavefront propagation in discrete random media via stochastic Huygens' minor principle ⋮ Multiscale modelling of damage and failure in two-dimensional metallic foams ⋮ Parametric evaluation of progressive damage in polymer concretes: size effect and statistics ⋮ Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli ⋮ Probabilistic approach to the wave propagation in structured solids ⋮ A generalization of thermodynamic orthogonality to random media

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