Foundations of Engineering Mechanics

Tractable Models of Solid Mechanics

Formulation, Analysis and Interpretation

Authors: Gendelman, Oleg V., Manevitch, Leonid I.

  • This book presents the new idea of ‘tractable models’—an approach to a systematic description of solid mechanics
  • Illustrates the idea of tractable models by reviewing classical models as tractable models and systematically working them out for models used in modern solid mechanics
  • Written by experts in this field
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  • ISBN 978-3-642-15372-3
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Hardcover $249.00
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  • ISBN 978-3-642-15371-6
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Softcover $249.00
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  • ISBN 978-3-642-26662-1
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About this book

This book describes significant tractable models used in solid mechanics - classical models used in modern mechanics as well as new ones. The models are selected to illustrate the main ideas which allow scientists to describe complicated effects in a simple manner and to clarify basic notations of solid mechanics. A model is considered to be tractable if it is based on clear physical assumptions which allow the selection of significant effects and relatively simple mathematical formulations.

The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects – from systems with two degrees of freedom to three-dimensional continuous objects.

Reviews

From the reviews:

“This book by L. I. Manevitch and O. V. Gendelman is focused on a series of so-called ‘tractable models’. … This book presents new original ideas in analysis of models from very different topics of nonlinear mechanics. The proposed approaches allow the authors to simplify complicated nonlinear problems and describe some important solutions. This book may be useful for specialists dealing with nonlinear mechanics, for theoretical physicists, and also for use in academic courses. The book is recommended for libraries.” (Yuri V. Mikhlin, Mathematical Reviews, Issue 2012 a)


Table of contents (4 chapters)

  • Introduction: Historical Development of Tractable Models

    Manevitch, Leonid I. (et al.)

    Pages 1-11

  • Discrete Finite Systems

    Manevitch, Leonid I. (et al.)

    Pages 13-165

  • Infinite Discrete Systems

    Manevitch, Leonid I. (et al.)

    Pages 167-236

  • Continuous Systems

    Manevitch, Leonid I. (et al.)

    Pages 237-293

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-642-15372-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-642-15371-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-642-26662-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Tractable Models of Solid Mechanics
Book Subtitle
Formulation, Analysis and Interpretation
Authors
Series Title
Foundations of Engineering Mechanics
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15372-3
DOI
10.1007/978-3-642-15372-3
Hardcover ISBN
978-3-642-15371-6
Softcover ISBN
978-3-642-26662-1
Series ISSN
1612-1384
Edition Number
1
Number of Pages
XIV, 302
Topics