Logo - springer
Slogan - springer

Physics - Classical Continuum Physics | Treatise on Classical Elasticity - Theory and Related Problems

Treatise on Classical Elasticity

Theory and Related Problems

Teodorescu, Petre P.

2013, XI, 802 p. 110 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$219.00

(net) price for USA

ISBN 978-94-007-2616-1

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$279.00

(net) price for USA

ISBN 978-94-007-2615-4

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Covers classical elasticity theory in an encyclopaedic way
  • A rigorous, accurate and complete treatise
  • Written by one of the most authoritative scholars in the field

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.

Content Level » Research

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

Related subjects » Applications - Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics - Theoretical, Mathematical & Computational Physics

Table of contents 

Preface.- 1: Introduction.- 2: Geometry and Kinematics of Deformation.- 3: Mechanics of Stresses.- 4: Mathematical Models in Mechanics of Deformable Solids.- 5: General Equations of the Theory of Elasticity. Formulation of Problems.- 6: Principles and General Theorems of the Theory of Elasticity. Computation Methods.- 7: Introduction to the Theory of Cosserat type Bodies.- 8: Theory of Concentrated Loads.- 9: Elastic Space. Elastic Half-space.- 10:  Elastic Eights-space. Elastic Quarter-space.- 11: Elastic Parallelepiped. Elastic Strip. Elastic Layer. Thick Plate.- 12: Dynamical Problems of Elastic Bodies.- 13: Particular Cases of States of Strain and Stress.- 14: Anisotropic and Non-homogeneous Bodies.- 15: Introduction to Thermoelasticity.- 16: Introduction to Linear Viscoelasticity.- A: Appendix.- 1: Elements of Tensor Calculus.- 2: Curvilinear Coordinates.- 3: Elements of the Theory of Distributions.- 4: Notations and Integrals.- Subject Index.- Name Index.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Mechanics.