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Treatise on Classical Elasticity

Theory and Related Problems

  • Petre P. Teodorescu

Table of contents

  1. Front Matter
    Pages i-xi
  2. Petre P. Teodorescu
    Pages 1-32
  3. Petre P. Teodorescu
    Pages 33-71
  4. Petre P. Teodorescu
    Pages 73-113
  5. Petre P. Teodorescu
    Pages 115-189
  6. Petre P. Teodorescu
    Pages 307-355
  7. Petre P. Teodorescu
    Pages 357-391
  8. Petre P. Teodorescu
    Pages 393-426
  9. Petre P. Teodorescu
    Pages 427-479
  10. Petre P. Teodorescu
    Pages 517-546
  11. Petre P. Teodorescu
    Pages 547-613
  12. Petre P. Teodorescu
    Pages 615-669
  13. Petre P. Teodorescu
    Pages 671-698
  14. Petre P. Teodorescu
    Pages 699-728
  15. Back Matter
    Pages 729-802

About this book

Introduction

Deformable solids have a particularly complex character; mathematical modeling is not always simple and often leads to inextricable difficulties of computation. One of the simplest mathematical models and, at the same time, the most used model, is that of the elastic body – especially the linear one. But, notwithstanding its simplicity, even this model of a real body may lead to great difficulties of computation.

The practical importance of a work about the theory of elasticity, which is also an introduction to the mechanics of deformable solids, consists of the use of scientific methods of computation in a domain in which simplified methods are still used.

This treatise takes into account the consideration made above, with special attention to the theoretical study of the state of strain and stress of a deformable solid. The book draws on the known specialized literature, as well as the original results of the author and his 50+ years experience as Professor of Mechanics and Elasticity at the University of Bucharest. The construction of mathematical models is made by treating geometry and kinematics of deformation, mechanics of stresses and constitutive laws. Elastic, plastic and viscous properties are thus put in evidence and the corresponding theories are developed. Space problems are treated and various particular cases are taken into consideration. New solutions for boundary value problems of finite and infinite domains are given and a general theory of concentrated loads is built. Anisotropic and non-homogeneous bodies are studied as well. Cosserat type bodies are also modeled. The connection with thermal and viscous phenomena will be considered too.

Audience: researchers in applied mathematics, mechanical and civil engineering.

Keywords

Anisotropic and non-homogeneous elastic bodies Continuum mechanics Elasticity mechanics Elastostatistics and elastodynamics Mathematical models of elasticity Plastic Bodies Solid mechanics Stress and strain formulas Thermoelasticity Viscoelastic Bodies

Authors and affiliations

  • Petre P. Teodorescu
    • 1
  1. 1.BucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-2616-1
  • Copyright Information Springer Science+Business Media Dordrecht 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-2615-4
  • Online ISBN 978-94-007-2616-1
  • Series Print ISSN 1559-7458
  • Series Online ISSN 1559-7466
  • Buy this book on publisher's site
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