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Modeling and Simulation in Science, Engineering and Technology

Continuum Mechanics

Advanced Topics and Research Trends

Authors: Romano, Antonio, Marasco, Addolorata

  • May be used as a textbook for graduate courses in continuum mechanics, nonlinear elasticity, mixture, theory, phase changes, and electromagnetism in continuum
  • Mathematica® notebooks accompanying the text are available for download at www.birkhauser.com
  • Ideal for a broad audience of graduate students, researchers and practitioners in applied mathematics, mathematical physics, and engineering
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Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-0-8176-4870-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-0-8176-4869-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

From the reviews:

“This book gives the reader a sufficiently wide view of the ‘boundless forest’ of continuum mechanics … . The book is well written and very interesting and I recommend it to students, postgraduates, researchers and all the people working in the fields of mathematics, physics and continuum mechanics.” (Răzvan Răducanu, Mathematical Reviews,  Issue 2011 e)

Table of contents (10 chapters)

  • Nonlinear Elasticity

    Romano, Antonio (et al.)

    Pages 1-66

  • Micropolar Elasticity

    Romano, Antonio (et al.)

    Pages 67-90

  • Continuous System with a Nonmaterial Interface

    Romano, Antonio (et al.)

    Pages 91-111

  • Phase Equilibrium

    Romano, Antonio (et al.)

    Pages 113-132

  • Stationary and Time-Dependent Phase Changes

    Romano, Antonio (et al.)

    Pages 133-148

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-0-8176-4870-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-0-8176-4869-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Continuum Mechanics
Book Subtitle
Advanced Topics and Research Trends
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4870-1
DOI
10.1007/978-0-8176-4870-1
Hardcover ISBN
978-0-8176-4869-5
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XII, 348
Number of Illustrations and Tables
39 b/w illustrations
Topics