Cartesian Tensors in Engineering Science
eBook - PDF

Cartesian Tensors in Engineering Science

The Commonwealth and International Library: Structures and Solid Body Mechanics Division

  1. 124 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Cartesian Tensors in Engineering Science

The Commonwealth and International Library: Structures and Solid Body Mechanics Division

About this book

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 be struck by the fact that the physical quantities with which he normally deals have either one component, three components or nine components, being respectively scalars, vectors, and what have just been called second order tensors. The family of quantities having 1, 3, 9, 27, … components does exist. It is the tensor family in three dimensions. The book discusses the ""tests"" a given quantity must pass in order to qualify as a member of the family. The products of tensors, elasticity, and second moment of area and moment of inertia are also covered. Although written primarily for engineers, it is hoped that students of various branches of physical science may find this book useful.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Cartesian Tensors in Engineering Science by L. G. Jaeger, B. G. Neal in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Engineering General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Cartesian Tensors in Engineering Science
  3. Copyright Page
  4. Table of Contents
  5. Introduction
  6. List of Principal Symbols
  7. CHAPTER 1. Cartesian Axes. Scalars and Vectors
  8. CHAPTER 2. Properties of Direction Cosine Arrays. Second and Higher Order Tensors
  9. CHAPTER 3. Symmetric Second Order Tensors
  10. CHAPTER 4. The Products of Tensors
  11. CHAPTER 5. Elasticity
  12. CHAPTER 6. Second Moment of Areaand Moment of Inertia. Dynamics
  13. Appendix