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

09/2018

300

Dura

Inglês

9783319988054

15 a 20 dias

647

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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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