Averaging material tensors of any rank in textured polycrystalline materials: extending the scope beyond crystallographic proper point groups

DOI10.1016/j.ijengsci.2023.103942OpenAlexW4386435374MaRDI QIDQ6085390

Julieta L. Buroni, Federico C. Buroni

Publication date: 12 December 2023

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2023.103942

zbMATH Keywords

orthogonal groupLie grouprepresentation theorypiezoelectricityPeter-Weyl theoremtexture coefficientsanalytical micromechanicsgeneralized spherical harmonics functions

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Groups and symmetries. From finite groups to Lie groups. Transl. from the French by Stephanie Frank Singer.
• The effective electroelastic moduli of textured piezoelectric polycrystalline aggregates
• A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity
• Material tensors and pseudotensors of weakly-textured polycrystals with orientation distribution function defined on the orthogonal group
• Crystallographic texture and group representations
• Remarks on texture coefficients of polycrystals with improper crystallite symmetry
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