Tensor Analysis for Engineers

Transformations - Mathematics - Applications

Mehrzad Tabatabaian (Autor)

Buch | Hardcover

234 Seiten

2023
Mercury Learning & Information (Verlag)
978-1-68392-964-2 (ISBN)

Titel z.Zt. nicht lieferbar
Versandkostenfrei
Auch auf Rechnung

Artikel merken

Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical stress transformation. The geometry is limited to the Euclidean space/geometry, where the Pythagorean Theorem applies, with well-defined Cartesian coordinate systems as the reference. Quantities defined in curvilinear coordinate systems, like cylindrical, spherical, parabolic, etc. are discussed and several examples and coordinates sketches with related calculations are presented. In addition, the book has several worked-out examples for helping the readers with mastering the topics provided in the prior sections.

Mehrzad Tabatabaian holds a PhD from McGill University and is currently Chair of the BCIT School of Energy Research Committee. He has published several papers for scientific journals and conferences, and he has written textbooks on multiphysics and turbulent flow modelling, thermodynamics, and direct energy conversion. He holds several registered patents in the energy field and currently teaches courses in renewable energy and thermal engineering.

1. Introduction
2. Coordinate Systems Definition
3. Basic Vectors and Scale Factors
4. Contravariant Components and Transformations
5. Covariant Components and Transformations
6. Physical Componentsand Transformations
7. Tensors – Mixed and Metric
8. Metric Tensor Operation on Tensor Indices
9. Dot and Cross Products of Tensors
10. Gradient Vector Operator-Christoffel Symbols
11. Derivative Forms-Curl,Divergence, Laplacian
12. Cartesian Tensor Transformation-Rotations
13. Coordinate Independent Governing Equations
14. Collection of Relations for Selected Coordinate Systems
15. Rigid Body Rotation: Euler Angles, Quaternions, And Rotation Matrix
16. Mechanical Stress Transformation
17. The Worked Examples
18. Exercises
References
Index

Erscheinungsdatum	19.08.2023
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Maschinenbau
ISBN-10	1-68392-964-0 / 1683929640
ISBN-13	978-1-68392-964-2 / 9781683929642
Zustand	Neuware