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.
General
| Imprint: |
Springer
|
| Country of origin: |
Netherlands |
| Series: |
Mathematical and Analytical Techniques with Applications to Engineering |
| Release date: |
May 2013 |
| First published: |
2013 |
| Authors: |
Petre P. Teodorescu
|
| Dimensions: |
235 x 155 x 49mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
802 |
| Edition: |
2013 |
| ISBN-13: |
978-9400726154 |
| Categories: |
Books >
Science & Mathematics >
Physics >
Classical mechanics >
General
|
| LSN: |
9400726155 |
| Barcode: |
9789400726154 |
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