On the orientation average based on central orientation density functions for polycrystalline materials

DOI10.1007/s10659-019-09754-8zbMath1434.74013OpenAlexW2989957557WikidataQ126755523 ScholiaQ126755523MaRDI QIDQ1987623

Mauricio Fernández

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1007/s10659-019-09754-8

zbMATH Keywords

polycrystalsisotropic tensorsorientation averagecentral functionsODF

Mathematics Subject Classification ID

Crystalline structure (74E15) Effective constitutive equations in solid mechanics (74Q15) Micromechanical theories (74A60) Random materials and composite materials (74A40) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

Related Items (1)

centralODF-average

Uses Software

• GitHub

Cites Work

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• On the canonical representations for Kronecker powers of orthogonal tensors with application to material symmetry problems
• Modeling of deformation induced anisotropy in free-end torsion.
• Homogenization and materials design of anisotropic multiphase linear elastic materials using central model functions
• Microstructure sensitive design of an orthotropic plate subjected to tensile load
• Microstructures by design: linear problems in elastic-plastic design
• A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity
• Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials
• On the algebraic structure of isotropic generalized elasticity theories
• Linearly independent sets of isotropic Cartesian tensors of ranks up to eight
• Orthogonal Irreducible Decompositions of Tensors of High Orders
• `Third-order' elastic coefficients
• Orientation distribution functions for microstructures of heterogeneous materials. II: Crystal distribution functions and irreducible tensors restricted by various material symmetries

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