Simultaninvarianten bei Systemen zwei‐ und vierstufiger Tensoren

DOI10.1002/zamm.19950751009zbMath0859.15020OpenAlexW2078930753MaRDI QIDQ5691220

W. Helisch, Josef Betten

Publication date: 25 March 1997

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.19950751009

zbMATH Keywords

integrity basisirreducible systemsHilbert's theoremsimultaneous invariantssystem of tensors

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Anisotropy in solid mechanics (74E10) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Stress concentrations, singularities in solid mechanics (74G70) Actions of groups on commutative rings; invariant theory (13A50)

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Symmetry classes and harmonic decomposition for photoelasticity tensors, Simultaninvarianten bei Systemen zwei‐ und vierstufiger Tensoren, On the theory of fourth-order tensors and their applications in computational mechanics

Cites Work

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• Recent advances in mathematical modelling of materials behavior
• Applications of tensor functions to the formulation of yield criteria for anisotropic materials
• On the irreducibility of Professor G. F. Smith's representations for isotropic functions
• Irreduzible Invarianten eines Tensors vierter Stufe
• Simultaninvarianten bei Systemen zwei‐ und vierstufiger Tensoren