Logo - springer
Slogan - springer

Materials - Mechanics | Variational Principles of Continuum Mechanics - I. Fundamentals

Variational Principles of Continuum Mechanics

I. Fundamentals

Berdichevsky, Victor

2010, IX, 586 pgs, 79 illus

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$79.99

(net) price for USA

ISBN 978-3-540-88467-5

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$109.00

(net) price for USA

ISBN 978-3-540-88466-8

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

Also available as a set for $159.00


add to marked items

  • Concise and understandable book about variational principles of continuum mechanics
  • Accessible to applied mathematicians, physicists and engineers who have an interest in continuum mechanics
  • Interesting and innovative textbook for graduate students

The book reviews the two features of the variational approach: its use as a universal tool to describe physical phenomena and as a source for qualitative and quantitative methods of studying particular problems.

Berdichevsky’s work differs from other books on the subject in focusing mostly on the physical origin of variational principles as well as establishing their interrelations. For example, the Gibbs principles appear as a consequence of the Einstein formula for thermodynamic fluctuations rather than as the first principles of the theory of thermodynamic equilibrium. Mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for the direct study of variational problems. In addition, a thorough account of variational principles discovered in various branches of continuum mechanics is given.

In this book, the first volume, the author covers the variational principles for systems with a finite number of degrees of freedom; the variational principles of thermodynamics; the basics of continuum mechanics; the variational principles for classical models of continuum mechanics, such as elastic and plastic bodies, and ideal and viscous fluids; and direct methods of calculus of variations.

Content Level » Research

Keywords » Calculus of Variations - Degrees of freedom - Dissipation - Entropy - Variational Principles - calculus - continuum mechanics - mechanics - statics - thermodynamics

Related subjects » Applications - Classical Continuum Physics - Computational Intelligence and Complexity - Mechanical Engineering - Mechanics

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Continuum Mechanics and Mechanics of Materials.