Chapter 3: Basis Vectors and Scale Factors
Chapter in the book
Publisher:Mercury Learning and Information
Paid access
|Dec 2024
Table of contents
Frontmatter
Contents
Preface
About the Author
Chapter 1: Introduction
Chapter 2: Coordinate Systems Definition
Chapter 3: Basis Vectors and Scale Factors
Chapter 4: Contravariant Components and Transformations
Chapter 5: Covariant Components and Transformations
Chapter 6: Physical Components and Transformations
Chapter 7: Tensors—Mixed and Metric
Chapter 8: Metric Tensor Operation on Tensor Indices
Chapter 9: Dot and Cross Products of Tensors
Chapter 10: Gradient Vector Operator—Christoffel Symbols
Chapter 11: Derivative Forms—Curl, Divergence, Laplacian
Chapter 12: Cartesian Tensor Transformation—Rotations
Chapter 13: Coordinate Independent Governing Equations
Chapter 14: Collection of Relations for Selected Coordinate Systems
Chapter 15: Rigid Body Rotation: Euler Angles, Quaternions, and Rotation Matrix
Chapter 16: Mechanical Stress Transformation: Analytical and Mohr’s Circle Methods
Chapter 17: The Worked Examples
Chapter 18: Exercises
References
Index
24 chapters available
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PDF ISBN: 978-1-68392-963-5 | E-Pub ISBN: 978-1-68392-962-8 | Hardback ISBN: 978-1-68392-964-2 | DOI: 10.1515/9781683929635
Publisher: Mercury Learning and Information
Copyright owner: © 2023 Walter de Gruyter GmbH, Berlin/Boston
Publication date: 2024
Language: English
Pages: 234
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