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Theoretical Elasticity (Dover Civil and Mechanical Engineering), by A. E. Green, W. Zerna
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This highly regarded hardcover engineering manual is mainly concerned with three important aspects of elasticity theory: finite elastic deformations, complex variable methods for two-dimensional problems for both isotropic and aeolotropic bodies, and shell theory. Also discussed are three-dimensional problems for isotropic and transversely isotropic bodies. Chapter 1, devoted to mathematical preliminaries, includes a summary of tensors for workers unfamiliar with those notations. Subsequent chapters deal with the general theory of elasticity for finite deformations, solutions of a number of special problems, mostly for incompressible isotropic bodies, a theory of small deformations superposed on finite deformations, classical infinitesimal theory of elasticity, the theory of plane strain, plate theory, plane problems for isotropic bodies, and for aeolotropic bodies. The last chapters, 10-16, are devoted to the theory of shells. For this second edition, the authors added material on thermodynamics, as well as a new chapter dealing with methods of deriving membrane theory, inextensional theory, and bending theory, by asymptotic expansions of the three-dimensional linear elastic equations
- Sales Rank: #575933 in Books
- Published on: 2012-07-17
- Released on: 2012-06-19
- Original language: English
- Number of items: 1
- Dimensions: 8.50" h x .97" w x 5.51" l, 1.07 pounds
- Binding: Paperback
- 478 pages
About the Author
A. E. Green is Applied Mathematics Professor Emeritus�at the University of Durham. The late Wolfgang Zerna was Applied Mathematics�Professor at the University of Hanover. In the early stages of computer applications, he was among the initiators of the field of computational structural engineering.
Most helpful customer reviews
3 of 3 people found the following review helpful.
Great book for mechanicians
By Edubbs
This book was suggested to me by a prof when I first started graduate school. I had just started introduction to continuum mechanics and this book was a bit over my head, but if you give it some serious effort and have already mastered some of the concepts from continuum this will be a great aid towards nonlinear elasticity and plasticity. The methods contained involve use of tensors and a good reference on tensors would also be a great companion to this book. However all in all this book concisely contains a wealth of information and derives some critical equations of elasticity. Don't judge the year of publishing either as this was one of the books by A.E.Green an eminent mechanician responsible for many developments in nonlinear elasticity.
2 of 2 people found the following review helpful.
A somewhat more modern treatment of elasticity theory, including plane strain
By Ulfilas
I have gone to Green and Zerna for its treatment of plane strain in terms of complex variables. Here it covers much of the material found in Muskhelishvili's Some Basic Problems of the Mathematical Theory of Elasticity, but using a more modern approach that employs the Einstein summation notation. Mushkhelishvili's treatment of plane strain is more intuitively accessible, while that of Green and Zerna is more elegant and more familiar to the modern reader.
3 of 4 people found the following review helpful.
A classical and useful book on theoretical elasticity
By Sot P. Filopoulos
This book is exactly about what the title declares:"Theoretical elasticity". It contains all the necessary mathematical framework (tensors in curvilinear coordinate systems) in the first chapter. This chapter also introduces the reader to the complex potentials method. The second chapter is about continuum kinematics, stress and strain. Chapters 3 and 4 deal with finite deformations, while the well-known infinitesimal theory (the theory of elasticity which all books on the subject include) shows up in the 5th chapter. Chapter 6 is about plane strain (anisotropic bodies and complex variable methods included). Plate theory is presented in chapter 7. Chapters 8 and 9 are about plane problems for isotropic and anisotropic bodies using complex variable methods, really a very good collection of classical problems. Finally, chapters 10-16 are devoted to shell theory.
In my oppinion it is one of the best, almost all-inclusive books on the subject.
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