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Cartesian tensors in engineering science /

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Of Chapter 3Examples on Chapter 3; CHAPTER 4. The Products of Tensors; 4.1 The Product of Two Tensors; 4.2 The Product of more than Two Tensors; 4.3 Products Involving the Kronecker Delta. Contraction; 4.4 Examples of Contraction; 4.5 The Invariants of a Second Order Tensor; 4.6 The Levi-Civita Dens...

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Bibliographic Details
Main Author: Jaeger, Leslie G. (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Oxford : Pergamon Press, 1966.
Series:Commonwealth and international library. Structures and solid body mechanics division.
Subjects:
Calculus of tensors.
Engineering mathematics.
Calcul tensoriel.
Mathématiques de l'ingénieur.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Calculus of tensors
Engineering mathematics
Tensor
Produits tensoriels.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary:Of Chapter 3Examples on Chapter 3; CHAPTER 4. The Products of Tensors; 4.1 The Product of Two Tensors; 4.2 The Product of more than Two Tensors; 4.3 Products Involving the Kronecker Delta. Contraction; 4.4 Examples of Contraction; 4.5 The Invariants of a Second Order Tensor; 4.6 The Levi-Civita Density as a Third Order Tensor; 4.7 The Products of Vector Components; 4.8 The Vector Operator; 4.9 The Eigenvectors of a Second Order Tensor T; Summary of Chapter 4; Examples on Chapter 4; CHAPTER 5. Elasticity; 5.1 The Stress Tensor; 5.2 The Strain Tensor
Cartesian Tensors in Engineering Science provides a comprehensive discussion of Cartesian tensors. The engineer, when working in three dimensions, often comes across quantities which have nine components. Variation of the components in a given plane may be shown graphically by a familiar construction called Mohr's circle. For such quantities it is always possible to find three mutually perpendicular axes, called principal axes, with respect to which the six """"paired up"""" components are all zero. Such quantities are called symmetric tensors of the second order. The student may at this stage.
Physical Description:1 online resource
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
ISBN:9781483148342
1483148343