Continuum Mechanics (Modeling and Simulation in Science, Engineering and Technology) - Hardcover

Romano

Hardcover

ISBN 10: 0817648690 ISBN 13: 9780817648695

Publisher: Springer, 2010

Synopsis

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.

About this title

From the Back Cover

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.

Review

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)

About this edition

• Publisher: Springer
• Publication date: 2010
• ISBN 10: 0817648690
• ISBN 13: 9780817648695
• Binding: Hardcover
• Number of pages: 360