A micro‐mechanically motivated phenomenological yield function for cubic crystal aggregates

DOI10.1002/zamm.202000061OpenAlexW3025684056MaRDI QIDQ6149501

Alexander Dyck, Thomas Böhlke

Publication date: 5 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202000061

zbMATH Keywords

orientation distribution functioncrystallographic textureplastic anisotropyanisotropic yield functiontensorial texture coefficients

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15)

Cites Work

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• Plasticity of pressure-sensitive materials
• Identification of material parameters in yield functions and flow rules for weakly textured sheets of cubic metals
• On the convexity of yield bodies of isotropic and anisotropic media
• Group theory and representation of microstructure and mechanical behavior of polycrystals
• Bounds for effective elastic moduli of disordered materials
• Modeling of deformation induced anisotropy in free-end torsion.
• Irreducible decompositions of physical tensors of high orders
• Equivalent stress concept for limit state analysis
• Homogenization and materials design of anisotropic multiphase linear elastic materials using central model functions
• Linear transformation-based anisotropic yield functions.
• On the \(r\)-value of textured sheet metals
• 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
• A theory of the yielding and plastic flow of anisotropic metals
• Random heterogeneous materials. Microstructure and macroscopic properties
• Orientation distribution functions for microstructures of heterogeneous materials. I: Directional distribution functions and irreducible tensors

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