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A Treatise on the Mathematical Theory of Elasticity (Dover Books on Engineering), by A. E. H. Love
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Combining a wealth of practical applications with a thorough, rigorous discussion of fundamentals, this work is recognized as an indispensable reference tool for mathematicians and physicists as well as mechanical, civil, and aeronautical engineers. The American Mathematical Monthly hailed it as "the standard treatise on elasticity," praising its significant content, originality of treatment, vigor of exposition, and valuable contributions to the theory.
Starting with a historical introduction, the author discusses the analysis of strain and stress, the elasticity of solid bodies, the equilibrium of isotropic elastic solids, elasticity of crystals, vibration of spheres and cylinders, propagation of waves in elastic solid media, torsion, the theory of continuous beams, the theory of plates, and other topics. A wide range of practical material includes coverage of plates, beams, shells, bending, torsion, vibrations of rods, impact, and more.
- Sales Rank: #183232 in Books
- Published on: 2011-06-16
- Released on: 2011-05-19
- Original language: English
- Number of items: 1
- Dimensions: 9.24" h x 1.27" w x 6.13" l, 1.80 pounds
- Binding: Paperback
- 672 pages
About the Author
In addition to his work on elasticity, Augustus Edward Hough Love (1863–1940) studied wave propagation and was awarded the prestigious Adams Prize in 1911 for his development of a mathematical model of surface waves known as Love waves.
Most helpful customer reviews
17 of 17 people found the following review helpful.
A very complete book on elasticity...
By V.A. Jonkers
Though the original print goes back as far as 1927, the foundations of the theory of linear elasticity aren't changed so this book is still up to date.
Though this book is an introduction text, as it devellops the theory from the very basics, it covers a wide range of applications that are hard to find elsewhere. For example, the equations of Hertz for contact stresses are develloped, the elasticity of a gravitating rotating sphere(earth), torsional deflextion of thin beams in bending and shell- and plate theory. This all in considarable detail.
The style of writing is not oldfashioned at all and is easy to read. Not as easy is the amount of math and time you have to invest to really understand this book. It's does not use tensor represantations but still demands a ready knowledge of advanced calcus (determinants, multivariable calcus, line-integrals, etc.)
It's text only and has no exercices, it's a very enjoyable and rewarding book. It even has a brief chapter on the development of the theory through the centuries.
16 of 18 people found the following review helpful.
Beware the hardcover version!
By Yuri
[[VIDEOID:mo2EB6SS0104UR2]]I bought the hardcover version of "A treatise on the mathematical theory of elasticity", assuming it would be the same as the paperback version, but it isn't!
It actually is a Volume II of, apparently, the first edition (1893). The most "recent" edition is the fourth edition (1927), first printed in America in 1944.
I asked the Customer Support if there was a Volume I, but they said that this hardcover version announced is the only one they have. So Amazon is selling the hardcover version as it had the same contents of the paperback edition, but that isn't true!
Just to be clear:
The hardcover version is a reprint of Volume II of the FIRST edition.
The paperback version is a reprint of the 1944 edition, which itself is the FOURTH edition of the book. This edition is a unique volume edition.
As you can see in the video (sorry for the lousy English and mistakes), it starts from chapter XIII (13), and there is a page in which you can read "Volume II". However, nothing is said neither in the cover of the book, nor in Amazon's description.
The saddest part is that it doesn't worth returning it, as I would have to pay the "return postage costs", which can be more expensive than the refund itself, as I don't live in the USA.
6 of 7 people found the following review helpful.
classical and complete
By McGillman
absolute bible in elasticity, every professor who teach elasticity would list it among the reference books. But you have to invest much time to understand it.
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