论文信息 - The derivative of a tensor-valued function of a tensor - 字舞流文

The derivative of a tensor-valued function of a tensor

On donne la derivee DF de la fonction a valeur tensorielle d'un tenseur dans le cas general

Donald E. Carlson | Anne Hoger | D. Carlson | A. Hoger

[1] Franz Rellich,et al. Perturbation Theory of Eigenvalue Problems , 1969 .

[2] Tosio Kato. Perturbation theory for linear operators , 1966 .

[3] R. F. Rinehart. The Equivalence of Definitions of a Matric Function , 1955 .

[4] Rates of stretch tensors , 1984 .

[5] M. Gurtin,et al. On the Relationship between the Logarithmic Strain Rate and the Stretching Tensor , 1983 .

[6] P. Halmos. Finite-Dimensional Vector Spaces , 1960 .

[7] John M. Ball,et al. Differentiability properties of symmetric and isotropic functions , 1984 .

[8] Donald E. Carlson,et al. On the derivatives of the principal invariants of a second-order tensor , 1986 .

[9] Ronald S. Rivlin,et al. Further Remarks on the Stress-Deformation Relations for Isotropic Materials , 1955 .

[10] M. Gurtin,et al. An introduction to continuum mechanics , 1981 .

[11] Donald E. Carlson,et al. On the derivative of the square root of a tensor and Guo's rate theorems , 1984 .