# Treatise on Classical Elasticity: Theory and Related Problems

Deformable solids have a particular 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

## Overview

Deformable solids have a particular 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 existing specialist literature as well as the scientific results obtained by the author are used.
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 thermic and viscous phenomena will be considered too.
Audience: researchers in mechanics of deformable solids; mathematicians who are thus brought in connection with practical problems, with suggestions in the domain of applied mathematics; civil and mechanical engineers.

## Editorial Reviews

From the Publisher

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)

## Product Details

ISBN-13:
9789400726154
Publisher:
Springer Netherlands
Publication date:
05/31/2013
Series:
Mathematical and Analytical Techniques with Applications to Engineering Series
Edition description:
2013
Pages:
802
Product dimensions:
6.10(w) x 9.25(h) x 0.07(d)

## Meet the Author

Academic Positions: Consulting Professor, University of Bucharest, Faculty of Mathematics.
Fields of Research: Mechanics of Deformable Solids (especially Elastic Solids), Mathematical Methods of Calculus in Mechanics.
Additional Information: Prize "Gh. Titeica" of the Romanian Academy in 1966; Member in the Advisory Board of Meccanica (Italy), Mechanics Research Communications and Letters in Applied Engineering Sciences (U.S.A.); Member of GAMM (Germany) and AMS (U.S.A.).

Books published:
Mechanical Systems, Classical Models Volume I: Particle Mechanics (Springer);
Volume II: Mechanics of Discrete and Continuous Systems (Springer);
Volume III: Analytical Mechanics (Springer)
Teodorescu, Petre P.

Ordinary Differential Equations with Applications to Mechanics (Springer) Soare, Mircea, Teodorescu, Petre P., Toma, Ileana

Applications of the Theory of Groups in Mechanics and Physics (Springer) Teodorescu, Petre P., Nicorovici, Nicolae-A.P.

P.P. Teodorescu has authored 255 papers.

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