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Theoretical Elasticity: A. E. Green

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. Unabridged Dover republication of the second edition published by Oxford University Press, 1968. Prefaces. 25 black-and-white illustrations.

Review:

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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Rating:
2.5 out of 5 by Book123