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Birkhäuser

Continuum Mechanics

Advanced Topics and Research Trends

  • Book
  • © 2010

Overview

Authors:
  1. Antonio Romano

    1. e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli, Dipartimento di Matematica, Napoli, Italy

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  2. Addolorata Marasco

    1. e Applicazioni "R. Caccioppoli", Università degli Studi di Napoli, Dipartimento di Matematica, Napoli, Italy

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    You can also search for this author in PubMed   Google Scholar

  • 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 http://www.birkhauser.com/978-0-8176-4869-5
  • For a broad audience of graduate students, researchers and practitioners in applied mathematics, mathematical physics, and engineering
  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
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  2. Nonlinear Elasticity

    • Antonio Romano, Addolorata Marasco
    Pages 1-66

  3. Micropolar Elasticity

    • Antonio Romano, Addolorata Marasco
    Pages 67-90

  4. Continuous System with a Nonmaterial Interface

    • Antonio Romano, Addolorata Marasco
    Pages 91-111

  5. Phase Equilibrium

    • Antonio Romano, Addolorata Marasco
    Pages 113-132

  6. Stationary and Time-Dependent Phase Changes

    • Antonio Romano, Addolorata Marasco
    Pages 133-148

  7. An Introduction to Mixture Theory

    • Antonio Romano, Addolorata Marasco
    Pages 149-170

  8. Electromagnetism in Matter

    • Antonio Romano, Addolorata Marasco
    Pages 171-204

  9. Introduction to Magnetofluid Dynamics

    • Antonio Romano, Addolorata Marasco
    Pages 205-224

  10. Continua with an Interface and Micromagnetism

    • Antonio Romano, Addolorata Marasco
    Pages 225-255

  11. Relativistic Continuous Systems

    • Antonio Romano, Addolorata Marasco
    Pages 257-299

  12. Back Matter

    Pages 301-347
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Keywords

About this book

R In the companion book (Continuum Mechanics Using Mathematica )to this volume, we explained the foundations of continuum mechanics and described some basic applications of ?uid dynamics and linear elasticity. However, deciding on the approach and content of this book, Continuum Mechanics: Advanced Topics and Research Trends, proved to be a more di?culttask.Afteralongperiodofre?ection,wemadethedecisiontodirect our e?orts into drafting a book that demonstrates the ?exibility and great potential of continuum physics to describe the wide range of macroscopic phenomena that we can observe. It is the opinion of the authors that this is the most stimulating way to learn continuum mechanics. However, it is also quite evident that this aim cannot be fully realized in a single book. Consequently,inthis book wechoseto presentonly thebasicsofinteresting continuum mechanics models, along with some important applications of them. We assume that the reader is familiar with all of the basic principles of continuum mechanics: the general balance laws, constitutive equations, isotropygroupsfor materials,the laws of thermodynamics, ordinarywaves, etc. All of these concepts can be found in Continuum Mechanics Using Mathematica and many other books. We believe that this book gives the reader a su?ciently wide view of the “boundless forest” of continuum mechanics, before focusing his or her attention on the beauty and complex structure of single trees within it (- deed,wecouldsaythatContinuumMechanics UsingMathematica provides only the fertile humus on which the trees of this forest take root!).

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)

Authors and Affiliations

  • e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli, Dipartimento di Matematica, Napoli, Italy

    Antonio Romano

  • e Applicazioni "R. Caccioppoli", Università degli Studi di Napoli, Dipartimento di Matematica, Napoli, Italy

    Addolorata Marasco

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