Advertisement

Continuum Mechanics

Advanced Topics and Research Trends

  • Antonio Romano
  • Addolorata Marasco

Table of contents

  1. Front Matter
    Pages i-xi
  2. Antonio Romano, Addolorata Marasco
    Pages 1-66
  3. Antonio Romano, Addolorata Marasco
    Pages 67-90
  4. Antonio Romano, Addolorata Marasco
    Pages 91-111
  5. Antonio Romano, Addolorata Marasco
    Pages 113-132
  6. Antonio Romano, Addolorata Marasco
    Pages 133-148
  7. Antonio Romano, Addolorata Marasco
    Pages 149-170
  8. Antonio Romano, Addolorata Marasco
    Pages 171-204
  9. Antonio Romano, Addolorata Marasco
    Pages 205-224
  10. Antonio Romano, Addolorata Marasco
    Pages 225-255
  11. Antonio Romano, Addolorata Marasco
    Pages 257-299
  12. Back Matter
    Pages 301-347

About this book

Introduction

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include:

* various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves
* continua with directors
* a model of a continuum with a nonmaterial moving interface
* mixture theory: The Gibbs Rule in a binary mixture
* interaction between electric or magnetic fields with matter
* micromagnetism
* continua in special relativity and relativistic interactions between matter and electromagnetic fields

Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5.

Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics.

Keywords

Potential continuum mechanics electromagnetism fluid dynamics magnetism mechanics relativity

Authors and affiliations

  • Antonio Romano
    • 1
  • Addolorata Marasco
    • 2
  1. 1.e Applicazioni “R. Caccioppoli”, Università degli Studi di NapoliDipartimento di MatematicaNapoliItaly
  2. 2.e Applicazioni "R. Caccioppoli", Università degli Studi di NapoliDipartimento di MatematicaNapoliItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4870-1
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4869-5
  • Online ISBN 978-0-8176-4870-1
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site