The Derivative with respect to a Tensor: some Theoretical Aspects and Applications

DOI<535::AID-ZAMM535>3.0.CO;2-U 10.1002/1521-4001(200208)82:8<535::AID-ZAMM535>3.0.CO;2-UzbMath1002.15031OpenAlexW2030920588MaRDI QIDQ4545919

Mikhail Itskov

Publication date: 18 August 2002

Full work available at URL: https://doi.org/10.1002/1521-4001(200208)82:8<535::aid-zamm535>3.0.co;2-u

zbMATH Keywords

deformation gradienttensor producttensor algebracomplex eigenprojectionsderivative of a tensor functionderivative with respect to a second-order tensorHill's strainsstretch and rotation tensortensor differentiation rules

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Multilinear algebra, tensor calculus (15A69)

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