Homogenization of polycrystalline aggregates

DOI10.1007/s002050050199zbMath0989.74059OpenAlexW2031278974MaRDI QIDQ1566943

Roberto Paroni

Publication date: 10 July 2002

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050199

zbMATH Keywords

homogenizationrandom fieldpolycrystalline materialeffective elastic constantsprobability measureeffective elasticity tensorbound on material constantorientation measure

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Crystalline structure (74E15) Effective constitutive equations in solid mechanics (74Q15)

Related Items (8)

On the geometric autocorrelation function of polycrystalline materials ⋮ Estimates of nonlinear elastic constants and acoustic nonlinearity parameters for textured polycrystals ⋮ Crystallographic texture and group representations ⋮ A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity ⋮ Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers ⋮ Perturbation approach to elastic constitutive relations of polycrystals ⋮ Material tensors and pseudotensors of weakly-textured polycrystals with orientation distribution function defined on the orthogonal group ⋮ Explicit Bounds of Effective Stiffness Tensors for Textured Aggregates of Cubic Crystallites

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