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Tractable Models of Solid Mechanics

Formulation, Analysis and Interpretation

  • Leonid I. Manevitch
  • Oleg V. Gendelman

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Leonid I. Manevitch, Oleg V. Gendelman
    Pages 1-11
  3. Leonid I. Manevitch, Oleg V. Gendelman
    Pages 13-165
  4. Leonid I. Manevitch, Oleg V. Gendelman
    Pages 167-236
  5. Leonid I. Manevitch, Oleg V. Gendelman
    Pages 237-293
  6. Back Matter
    Pages 295-302

About this book

Introduction

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.

Keywords

Asymptotic Solutions Asymptotics Fluid Mechanics Integrable Solution Mathematical Analysis

Authors and affiliations

  • Leonid I. Manevitch
    • 1
  • Oleg V. Gendelman
    • 2
  1. 1.Inst. Chemical PhysicsRussian Academy of SciencesMoskvaRussian Federation
  2. 2.Fac. Mechanical EngineeringTechnion Israel Institute of TechnologyHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15372-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-15371-6
  • Online ISBN 978-3-642-15372-3
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
  • Buy this book on publisher's site
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