The first discussions of elastic phenomena occur in the writings of Hooke but the first real attempts to construct a theory of elasticity using the continuum approach, in which speculations on the molecular structure of the body are avoided and macroscopic phenomena are described in terms of field variables, date from the first half of the eighteen century1. Since that time a tremendous amount of scientific effort has been devoted to the study of the mathematical theory of elasticity and its applications to physics and engineering. The sheer volume of the published work in the subject makes it quite impossible for an author to cover the entire subject at all adequately within the compass of a single book. The present article has a much more modest aim than that: It tries to give a brief survey of certain parts of the basic theory of elasticity with sufficient discussion of special problems to give some indication of the mathematical techniques available for the solution of such problems. Even within that limited framework there are notable omissions; for example, nothing is said about such an important technological topic as the theory of elastic stability or about such a basic topic as the calculation of the elastic constants of a crystal by the theory of crystal lattices. This process is experimental and the keywords may be updated as the learning algorithm improves.
|Published (Last):||22 June 2010|
|PDF File Size:||6.78 Mb|
|ePub File Size:||18.81 Mb|
|Price:||Free* [*Free Regsitration Required]|
In he attained a first in the first part of the Tripos examinations in mathematics and in was Wrangler in the second part. After his first very promising publications he was named the Fellow of Jesus College, received the Smith Prize , and in received his PhD under Taylor. From to Green was also Dean of the Faculty of Science. In Green retired as professor emeritus. Green was in his lifetime one the U. Subsequently, Zerna was a professor in Hannover.
With Rivlin, Green published some of the first works on the mechanics of materials with memory. From the mids he primarily deal with the thermodynamics of continua, the theory of elastic-plastic continua with Naghdi and various hydrodynamic problems such as jets in ideal fluids. The Green-Naghdi theory of water waves, as named by R. Cengiz Ertekin , is one of the outstanding contributions of the close collaboration of Green and Paul M. Green received honorary scientific doctorates: in from the University of Cambridge, in from the University of Oxford , in from the University of Durham , and in from the National University of Ireland.
In he was made Fellow of the Royal Society. In , he married Gwendoline May Rudston. Adkins: Large elastic deformations and nonlinear continuum mechanics, Clarendon Press, Oxford ,  2nd edn.
Naghdi, A. Spencer, A. England eds. Nonlinear elasticity and theoretical mechanics. In Honour of A. Green, Oxford University Press
Albert E. Green
Green , W. Zerna 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, , 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.
To include a comma in your tag, surround theoretidal tag with double quotes. In order to set up a list of libraries that you have access to, you must first login or sign up. These 3 locations in New South Wales: 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. My library Help Advanced Book Search. Australian National University Library. State Library of South Australia.