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Title: Mathematical Foundations of Elasticity by Jerrold E. Marsden, Thomas J.R. Hughes ISBN: 0-486-67865-2 Publisher: Dover Publications Pub. Date: 01 March, 1994 Format: Paperback Volumes: 1 List Price(USD): $19.95 |
Average Customer Rating: 4 (3 reviews)
Rating: 5
Summary: 5 stars, but only for advanced level
Comment: Sb. said this book turns 1+1=2 into a nightmare, however I can't agree.
First, this book is not written for engineers. For engineers, there are a dozen of good elasticity books, eg. the classics Fung's "Foundation of solid mechanics". This is not the right book for engineers.
This book deals elasticity within the context of manifold. For these of you who really want to know what a tensor really is, what the real meaning of these 1+1=2, for example C=F'F, in the general settings, this is the right one.
As it is said, knowing elasticity, finite deformation theory, nonelasticity is still not enough to open this book. All you need to know is a lot of differential geometry and tensor calculus. This book also try to build up these notions. Good concurrent books to help you understand are "tensor calculus on manifold" by Bishop et. al, and "the geometry of physics" by Frankel.
Overall, this is a book very hard to penetrate, and only intended for the advanced level. You won't expect to learn any elasticity from this book if you are new to elasticity. I recommend you to return back to this classic when you think you are ready, you will find a whole new world.
Rating: 3
Summary: Turning simple problem into nightmare.
Comment: Turning simple problem into nightmare. How difficult can an elasticity problem be in engineering? But these guys just have a way to make 1+1=2 looks like the most mysterious problem mankind has ever come across. No wonder everyone hates engineering and physics nowadays.
Rating: 4
Summary: An advanced level book heavy on mathematics
Comment: Though I'm a engineer in practice I bought this book out of personal interest to further my knowlegde. When I first opened the book I was a taken aback by the amount of mathematics used. Having a good knowledge of the classical theory of elasticity and some non-linear theory is simply not enough to begin with this book. Know your mathemactics! (differential geometry,etc.) Appart form the starting difficulies the book has very much to offer and is well written. I especially liked the "exotic" topics like relativistic elasticity and bifurcation theory of beams and plates. This book is very different compared to the books I used to read on elasticity but I still enjoy it.
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Title: Continuum Mechanics: Concise Theory and Problems by Peter Chadwick, P. Chadwick ISBN: 0486401804 Publisher: Dover Publications Pub. Date: 15 November, 1999 List Price(USD): $10.95 |
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Title: Non-Linear Elastic Deformations by R. W. Ogden ISBN: 0486696480 Publisher: Dover Publications Pub. Date: 01 June, 1997 List Price(USD): $17.95 |
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Title: The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes ISBN: 0486411818 Publisher: Dover Publications Pub. Date: 01 September, 2000 List Price(USD): $29.95 |
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Title: Treatise on the Mathematical Theory of Elasticity (Dover Books on Physics & Chemistry) by Augustus E. Love ISBN: 0486601749 Publisher: Dover Publications Pub. Date: 01 June, 1927 List Price(USD): $24.95 |
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Title: Foundations for the Nonlinear Theory of Elasticity by V. V. Novozhilov ISBN: 0486406849 Publisher: Dover Publications Pub. Date: 01 February, 1999 List Price(USD): $12.95 |
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