Integrity bases for N symmetric second order tensors. The crystal classes

DOI10.1007/BF02888942zbMath0269.15012OpenAlexW2055084425MaRDI QIDQ2563189

E. Kiral, Gerald F. Smith

Publication date: 1969

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02888942

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72)

Related Items

The elasticity tensor of a transversely isotropic hyperelastic material with residual stress, On the constitutive relations for anisotropic materials - The crystal class \(D_{6h}\), On the constitutive relations for anisotropic materials triclinic, monoclinic, rhombic, tetragonal and hexagonal crystal systems, Material symmetry and constitutive equations, Effective rationality of second-order symmetric tensor spaces

Cites Work

• The invariants of six symmetric \(3 \times 3\) matrices
• Finite integrity bases for five or fewer symmetric 3 \(\times\) 3 matrices
• Integrity bases for a symmetric tensor and a vector. The crystal classes
• Integrity bases for vectors. The crystal classes
• The Strain-Energy Function for Anisotropic Elastic Materials
• Tensor and integrity bases for the gyroidal crystal class
• The mechanics of non-linear materials with memory