A physically motivated set of invariants and tensor generators in the case of transverse isotropy

DOI10.1016/0020-7225(94)90162-7zbMath0899.73039OpenAlexW1989409775MaRDI QIDQ1385473

B. Bischoff-Beiermann, Otto Timme Bruhns

Publication date: 15 November 1998

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

Full work available at URL: https://doi.org/10.1016/0020-7225(94)90162-7

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Anisotropy in solid mechanics (74E10) Theory of constitutive functions in solid mechanics (74A20)

Related Items (2)

On minimal representations for constitutive equations of anisotropic elastic materials ⋮ On representations of yield functions for crystals, quasicrystals and transversely isotropic solids

Cites Work

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• On the geometry of slip and spin in finite plastic deformation
• On the behavior of elastic composites with transverse isotropic symmetry
• Application of representation theorems to describe yielding of transversely isotropic solids
• On representations of anisotropic invariants
• On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
• On the representation of symmetric tensor-valued isotropic functions
• A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
• Sur les Formes Invariantes dans le Sous‐Groupe Orthotrope de Révolution des Transformations Orthogonales de la Relation Entre Deux Tenseurs Symétriques du Second Ordre
• Beitrag zur tensoriellen Verallgemeinerung einachsiger Stoffgesetze

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