2000
Journal article
Unknown
On the derivative of some tensor-valued functions
Padovani C.
Materials Mechanics of Materials Mechanical Engineering General Materials Science Physical science and engineering
An explicit expression of the derivative of the square root of a tensor is provided, by using the expressions of the derivatives of the eigenvalues and eigenvectors of a symmetric tensor. Starting from this result, the derivatives of the right and left stretch tensor U, V and of the rotation R with respect to the deformation gradient F, are calculated. Expressions for the material time derivatives of U, V and R are also given.
Source: Journal of elasticity 58 (2000): 257–268. doi:10.1023/A:1007615519220
Publisher: Nijhoff, Dordrecht , Paesi Bassi
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BibTeX entry
@article{oai:it.cnr:prodotti:406328,
title = {On the derivative of some tensor-valued functions},
author = {Padovani C.},
publisher = {Nijhoff, Dordrecht , Paesi Bassi},
doi = {10.1023/a:1007615519220},
journal = {Journal of elasticity},
volume = {58},
pages = {257–268},
year = {2000}
}
0000-0002-2467-569X