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Wave Motion in Elastic Solids (Dover Books on Engineering)
 
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Wave Motion in Elastic Solids (Dover Books on Engineering) [Paperback]

Karl F. Graff (Author)
5.0 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

0486667456 978-0486667454 June 1, 1991
Comprehensive, self-contained coverage of a variety of topics ranges from the elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Emphasis on analytical and experimental results, in addition to theoretical development. Appendices contain introductory material on elasticity, transforms, experimental techniques. Over 100 problems.

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Wave Motion in Elastic Solids (Dover Books on Engineering) + Impact (Dover Civil and Mechanical Engineering) + Theory of Elastic Stability (Dover Civil and Mechanical Engineering)
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Product Details

  • Paperback: 688 pages
  • Publisher: Dover Publications (June 1, 1991)
  • Language: English
  • ISBN-10: 0486667456
  • ISBN-13: 978-0486667454
  • Product Dimensions: 8.4 x 5.4 x 1.2 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #558,843 in Books (See Top 100 in Books)

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7 of 7 people found the following review helpful:
5.0 out of 5 stars Old and still mostly new gem of an acoustics reference, March 23, 2007
By 
Georg Essl (Ann Arbor, Michigan) - See all my reviews
(REAL NAME)   
This review is from: Wave Motion in Elastic Solids (Dover Books on Engineering) (Paperback)
Whenever I have a question about core acoustical problems or find a reference to give to colleagues or students, it is Graff's old but great "Wave Motion in Elastic Solids" I end up using or recommending by far the most. This book is a rare treat for it's clarity, the material it covers and the derivation it contains. The book does things right in terms presentation. It does not leave important core derivations as exercise but presents them fully throughout the book. While exercises are present they are not needed to find material but do illustrate important concepts. The mathematical language is that of engineering mathematics that is still mostly typical today. My only critique is that alternative and more modern ways to arrive at certain derivations are missing (for example deriving the fundamental solution of the wave equation in the plane using distributions rather than through Hankel transforms or a treatment of the method of descend to relate wave equations of different dimensions). But this is a minor critique because the book at least contains comprehensive treatment of the Hankel transform path, while it is hard to find it in many other acoustics books of comparable level. In general a lot of concepts are derived and explained in unusual clarity and misconceptions about the applicability of certain methods beyond its realm is often not only avoided but also explained.

To cover the missing ground of treatment of the wave equation in terms of distributions and a nice and easy treatment of the method of descend I'd recommend Stein and Shakarchi's recent, very accessible and overall just excellent "Fourier Analysis", Princeton University Press, 2003.

Anybody that looks for a quality reference for acoustics, this is a real catch and if one wants to buy just one reference, this may well be the best one to get despite its age. Given its clarity it certainly is suitable for self-study.
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10 of 13 people found the following review helpful:
5.0 out of 5 stars Complete referencebook, July 17, 2000
This review is from: Wave Motion in Elastic Solids (Dover Books on Engineering) (Paperback)
This book is great. This book describes the full theory of wave motions in elastic solids. Great mathematical descriptions and interpretations. Good derivations of equations of motion and their assumptions. This book is a masterwork and an awesome referencebook for everything that has to do with waves!
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1 of 1 people found the following review helpful:
5.0 out of 5 stars Excellent applied math treatment of waves, June 23, 2011
This review is from: Wave Motion in Elastic Solids (Dover Books on Engineering) (Paperback)
The derivations and progression from simple to complex problems are quite deliberate and thorough. He takes examples and solutions from Sneddon's & Morse's classic texts, sometimes making them more accessible. Although he starts simple in each chapter, he rapidly arrives at more complex mathematical material, always ending chapters with a link back to physical measurements and testing.

I appreciate the way he takes a moderately complex problem and solves some key aspect of it using several alternative approaches, to show how they are the same and different. This is very revealing and also pedagogically important to understanding how you best attack a new problem you don't get out of a textbook.

In the first 4 chapters, the book steps through many of the decisions that must be made in the calculation of contour integrals resulting from Fourier, Laplace, and Hankel transforms (how to close contours, how to exclude singularities, etc.). He sometimes goes down a wrong path to show how you would understand that you had made a mistake somewhere. He also throws out a fair number of useful mathematical tricks, although it is often subtle, and you sometimes have to read carefully to see them for what they are.

The description of the elastic problem for infinite, semi-infinite, and layered media is pretty good. He has good figures and describes physically what is going on. He uses the approach of substituting in a plane wave and looking at the resulting dispersion relation. I find this more intuitive than other approaches taken in elasticity or seismology.

The book has isolated typos, figure glitches, and inconsistent notation, but overall it is rewarding to work through the examples and exercises.

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