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  • Book
  • © 2011

Tractable Models of Solid Mechanics

Formulation, Analysis and Interpretation

  • Presents the new idea of "tractable models" – an approach for a systematic description of Solid Mechanics
  • The idea of tractable models is illustrated by reviewing classical models as tractable models and worked out systematically worked out for models used in modern Solid mechanics
  • Written for experts in this field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction: Historical Development of Tractable Models

    • Leonid I. Manevitch, Oleg V. Gendelman
    Pages 1-11
  3. Discrete Finite Systems

    • Leonid I. Manevitch, Oleg V. Gendelman
    Pages 13-165
  4. Infinite Discrete Systems

    • Leonid I. Manevitch, Oleg V. Gendelman
    Pages 167-236
  5. Continuous Systems

    • Leonid I. Manevitch, Oleg V. Gendelman
    Pages 237-293
  6. Back Matter

    Pages 295-302

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)

Authors and Affiliations

  • Inst. Chemical Physics, Russian Academy of Sciences, Moskva, Russian Federation

    Leonid I. Manevitch

  • Fac. Mechanical Engineering, Technion Israel Institute of Technology, Haifa, Israel

    Oleg V. Gendelman

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access