An Expedition to Continuum Theory

  • Wolfgang H. Müller

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 210)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Wolfgang H. Müller
    Pages 1-14
  3. Wolfgang H. Müller
    Pages 15-46
  4. Wolfgang H. Müller
    Pages 47-87
  5. Wolfgang H. Müller
    Pages 89-106
  6. Wolfgang H. Müller
    Pages 129-152
  7. Wolfgang H. Müller
    Pages 153-180
  8. Wolfgang H. Müller
    Pages 215-250
  9. Wolfgang H. Müller
    Pages 251-287
  10. Wolfgang H. Müller
    Pages 289-305
  11. Wolfgang H. Müller
    Pages 307-330
  12. Wolfgang H. Müller
    Pages 331-390
  13. Back Matter
    Pages 391-399

About this book

Introduction

This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It also presents the necessary mathematical framework, namely tensor algebra and tensor calculus, by using an inductive approach, which makes it particularly suitable for beginners. In general, the book can be used in undergraduate classes on continuum theory and, more specifically, in courses on continuum mechanics, for students of physics and engineering alike. The benefits for the readers consist of providing a sound basis of the subject as a whole and of training their ability for solving specific problems in a rational manner.  For this purpose the general laws of nature in terms of the balances for mass, momentum, and energy are applied and combined with constitutive relations, which are material specific. Various examples and homework problems illustrate how to use the theory in daily practice. Numerous mini-biographies have been added to the mathematical text for diversion and amusement.

Keywords

Balance Laws Constitutive Relations Continuum Theory Electromagnetism Solid and Fluid Mechanics Tensor Notation

Authors and affiliations

  • Wolfgang H. Müller
    • 1
  1. 1.Institute of MechanicsTechnical University of BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-7799-6
  • Copyright Information Springer Science+Business Media Dordrecht 2014
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-7798-9
  • Online ISBN 978-94-007-7799-6
  • Series Print ISSN 0925-0042
  • Series Online ISSN 2214-7764
  • About this book