Tensor Algebra and Tensor Analysis for Engineers

Tensor Algebra and Tensor Analysis for Engineers

With Applications to Continuum Mechanics

Itskov, Mikhail

Springer International Publishing AG

10/2016

290

Mole

Inglês

9783319374437

15 a 20 dias

4686

Descrição não disponível.
Vectors and Tensors in a Finite-Dimensional Space.- Vector and Tensor Analysis in Euclidean Space.- Curves and Surfaces in Three-Dimensional Euclidean Space.- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors.- Fourth-Order Tensors.- Analysis of Tensor Functions.- Analytic Tensor Functions.- Applications to Continuum Mechanics.
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Christoffel symbols;Coordinate transformation;Covariant and contravariant derivatives;Derivative of the stretch and rotation tensor;Generalized Rivlin's Identities;Polar decomposition of the deformation gradient;Spectral decomposition of second-order tensors;Tensor algebra;Tensor-valued functions;Tensors in finite-dimensional space;matrix theory