التفاصيل البيبلوغرافية
| العنوان: |
Basis-free expressions for derivatives of a subclass of nonsymmetric isotropic tensor functions. |
| المؤلفون: |
Zhi-qiao Wang1, Guan-suo Dui1 gsdui@center.njtu.edu.cn |
| المصدر: |
Applied Mathematics & Mechanics. Sep2007, Vol. 28 Issue 9, p1249-1257. 9p. |
| مصطلحات موضوعية: |
*TENSOR products, *CALCULUS of tensors, *SCALAR field theory, *EIGENVALUES, *PRINCIPAL components analysis, *EIGENVECTORS, *SYMMETRIC matrices |
| مستخلص: |
The present paper generalizes the method for solving the derivatives of symmetric isotropic tensor-valued functions proposed by Dui and Chen (2004) to a subclass of nonsymmetric tensor functions satisfying the commutative condition. This subclass of tensor functions is more general than those investigated by the existing methods. In the case of three distinct eigenvalues, the commutativity makes it possible to introduce two scalar functions, which will be used to construct the general nonsymmetric tensor functions and their derivatives. In the cases of repeated eigenvalues, the results are acquired by taking limits. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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