Material tensors and pseudotensors of weakly-textured polycrystals with orientation distribution function defined on the orthogonal group

DOI10.1007/s10659-016-9610-5zbMath1368.74009OpenAlexW2560841034MaRDI QIDQ2014240

Wenwen Du, Chi-Sing Man

Publication date: 10 August 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9610-5

zbMATH Keywords

representation theoremorthogonal groupcrystallographic texturepolycrystalsmaterials tensors and pseudotensors

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Texture in solid mechanics (74E25) Micromechanical theories (74A60) Applications of group representations to physics and other areas of science (20C35) Theory of constitutive functions in solid mechanics (74A20)

Related Items (5)

Crystallographic texture and group representations ⋮ Harmonic decomposition, irreducible basis tensors, and minimal representations of material tensors and pseudotensors ⋮ Monitoring near-surface depth profile of residual stress in weakly anisotropic media by Rayleigh-wave dispersion ⋮ Averaging material tensors of any rank in textured polycrystalline materials: extending the scope beyond crystallographic proper point groups ⋮ Remarks on texture coefficients of polycrystals with improper crystallite symmetry

Cites Work

• On the constitutive equations of some weakly-textured materials
• Homogenization of polycrystalline aggregates
• A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity
• Optimal bounds on texture coefficients
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