Mathematical and Analytical Techniques with Applications to Engineering

Treatise on Classical Elasticity

Theory and Related Problems

Authors: Teodorescu, Petre P.

  • 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
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Hardcover $319.00
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  • ISBN 978-94-007-2615-4
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About this book

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.

About the authors

Petre P. Teodorescu, 1929, is currently a consulting professor at the Faculty of Mathematics, University of Bucharest, Romania, where he also received his scientific education. During his academic career he was awarded the "Gh. Titeica" Prize of the Romanian Academy in 1966, 20 scientific grants and several honorary titles, and he also became Member of the Academy of Technical Sciences of Romania in 1999, and President of the Romanian section of GAMM (Gesellschaft für Angewandte Mathematik und Mechanik) in 2002.
He is a member of the American Mathematical Society and the European Mechanics Society as well as various other societies, and served on the editorial boards of Mechanics Research, Meccanica, and Letters in Applied and Engineering Sciences, among others. He has a long history of teaching activities, research, participation and organization of international conferences and scientific writing, with 255 journal papers to his name. His fields of expertise encompass Mechanics of Deformable Solids, Mathematical Methods of Calculus in Mechanics.
With Springer Professor Teodorescu published the 3-volume work Mechanical Systems, Classical Models and co-authored two further titles.

Reviews

From the reviews:

“The book contains 16 chapters, 18 references, 4 appendices, a subject index and an author index. It is well-known that the theory of elasticity is an introduction to the mechanics of deformable solids, and this justifies a deep consideration of the classical elasticity undertaken in this book. … The book includes many elaborated problems and can be of interest to mathematicians, physicists, engineers and students.” (Elena Gavrilova, zbMATH, Vol. 1276, 2014)

Table of contents (16 chapters)

  • Introduction

    Teodorescu, Petre P.

    Pages 1-32

  • Geometry and Kinematics of Deformation

    Teodorescu, Petre P.

    Pages 33-71

  • Mechanics of Stresses

    Teodorescu, Petre P.

    Pages 73-113

  • Mathematical Models in Mechanics of Deformable Solids

    Teodorescu, Petre P.

    Pages 115-189

  • General Equations of the Theory of Elasticity. Formulation of Problems

    Teodorescu, Petre P.

    Pages 191-242

Buy this book

eBook $249.00
price for USA (gross)
  • ISBN 978-94-007-2616-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $319.00
price for USA
  • ISBN 978-94-007-2615-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $319.00
price for USA
  • ISBN 978-94-007-9339-2
  • 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
Treatise on Classical Elasticity
Book Subtitle
Theory and Related Problems
Authors
Series Title
Mathematical and Analytical Techniques with Applications to Engineering
Copyright
2013
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-2616-1
DOI
10.1007/978-94-007-2616-1
Hardcover ISBN
978-94-007-2615-4
Softcover ISBN
978-94-007-9339-2
Series ISSN
1559-7458
Edition Number
1
Number of Pages
XI, 802
Topics