An Introduction to the Theory of Elasticity (Dover Books on Physics)

by R. J. Atkin (Author), N. Fox (Author), Physics (Author)

3 customer reviews

ISBN-13: 978-0486442419

ISBN-10: 0486442411

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Thanks to intense research activity in the field of continuum mechanics, the teaching of subjects such as elasticity theory has attained a high degree of clarity and simplicity. This introductory volume offers upper-level undergraduates a perspective based on modern developments that also takes into account the limited mathematical tools they are likely to have at their disposal. It also places special emphasis on areas that students often find difficult upon first encounter. An Introduction to the Theory of Elasticity provides an accessible guide to the subject in a form that will instill a firm foundation for more advanced study.
The topics covered include a general discussion of deformation and stress, the derivation of the equations of finite elasticity with some exact solutions, and the formulation of infinitesimal elasticity with application to some two- and three-dimensional static problems and elastic waves. Answers to examples appear at the end of the book.

An Introduction to the Theory of Elasticity (Dover Books on Physics)

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Product Details

Series: Dover Books on Physics
Paperback: 270 pages
Publisher: Dover Publications (November 21, 2005)
Language: English
ISBN-10: 0486442411
ISBN-13: 978-0486442419
Product Dimensions: 5.5 x 0.6 x 8.5 inches
Shipping Weight: 9.6 ounces (View shipping rates and policies)
Average Customer Review: 4.0 out of 5 stars See all reviews (3 customer reviews)
Amazon Best Sellers Rank: #1,085,268 in Books (See Top 100 in Books)
- #673 in Books > Science & Math > Physics > Dynamics
- #812 in Books > Textbooks > Science & Mathematics > Mechanics
- #2837 in Books > Textbooks > Science & Mathematics > Physics

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Brief primer on elasticity

By Lance C. Hibbeler on February 7, 2011

Format: Paperback Verified Purchase

This is a pretty good primer to the theory of elasticity. Mind you, this is elasticity and not strength of materials, so get ready for some vector/tensor calculus and differential equations. Topics include basic kinematics and dynamics, finite and infinitesimal deformation theories, and then solving problems concerning the basic deformation modes (extension, torsion, bending). Atkin and Fox do a remarkable job of distilling down the very basic concepts, and then making a fairly lucid presentation. Some of the development includes some interesting proofs that I haven't seen in other continuum mechanics books. The emphasis is on analytically solving problems (as opposed to numerically), and, as appropriate for the introductory level, only cursorily discusses existence and uniqueness of solutions. I think the power of this book is how well they tie the solution process back to the boundary-value problem as we understand it- governing equations, boundary conditions, constitutive relationships, and compatibility- although the authors never come out and beat you over the head with such a statement.

My main gripe with the book is that the notation is nowhere close to consistent across the book. With only 230 pages and such a small number of topics, this is inexcusable. Everything is clear in context, but you do have to be aware that a good deal of context switching occurs. Sometimes kappa is the bulk modulus and other times it is just a constant. Sometimes the unit normal vector is (n1, n2, n3) and sometimes it is (l,m,n). Sometimes the coordinates are (x1, x2, x3) and other times they are (x, y, z).Read more ›

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Elasticity Theory Clear and Concise

By Simon Zivi on February 17, 2007

Format: Paperback

Exellent elementary introduction to the theory of elasticity. Clear and concise exposition of the basic principles, with many valuable applications and exercises. Requires only basic knowledge in physics, calculus incl. vector analysis and linear algebra. Good starting point for more advanced treatments of the subject.

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A good Introduction

By Truth Seeker on July 13, 2006

Format: Paperback

I read the first three chapters because I am only interested in finite strains. It is very well written and easy to follow but some concepts need more elaboration such as the 2nd PK stress, or for example there is no mention of Green-Lagrange strain. So it's a good introduction but doesn't go into a lot of detail as you can tell from the volume of the book.

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