Some indentities for the gradient of the principal invariants, traces and determinants via Grassmann calculus

DOI10.1007/s10659-012-9413-2zbMath1278.74013OpenAlexW2078172772MaRDI QIDQ379998

Antônio Francisco Neto

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10659-012-9413-2

zbMATH Keywords

determinantstrace identitiesprincipal invariantsGrassmann

Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items

An approach to isotropic tensor functions and their derivatives via omega matrix calculus

Cites Work

• Derivatives of the principal invariants of a second-order tensor
• On the derivatives of the principal invariants of a second-order tensor
• On the gradients of the principal invariants of a second-order tensor
• On the derivation for the gradients of the principal invariants
• The Grassmann-Berezin calculus and theorems of the matrix-tree type
• Derivatives on the isotropic tensor functions
• Grassmann-valued fluid dynamics
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