Representing Tensor Functions with a Cholesky Transform

DOI10.1177/108128659900400202zbMath1001.74507OpenAlexW1990592457MaRDI QIDQ4528196

Alan David Freed

Publication date: 19 December 2002

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/108128659900400202

Mathematics Subject Classification ID

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

Cites Work

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• The logarithmic strain space description
• Determination of \(C^{1/2}\), \(C^{-1/2}\) and more general isotropic tensor functions of C
• Remarks on the continuity of the scalar coefficients in the representation \(H(A)=\alpha I+\beta A+\gamma A^ 2\) for isotropic tensor functions
• Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\)
• A programm of physical research in classical mechanics
• A Mathematical Theory of Dilatancy

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