A Treatise on the Mathematical Theory of Elasticity (Classic Reprint)

The second edition, published in 1906, was practically a new book, but on the present occasion no such extensive revision appeared to be necessary. Some new researches have been incorporated, some of the old matter ha been transferred from notes to text, and some Articles have been wholly or partially re-written. It seemed to be desirable to retain the numbering of Articles in the second edition, and, with this object in view, new Articles have been numbered thus: 226a, 226b. One of those onumbered, Article 332a, is an extract from an Article now omitted. An Appendix to Chapters viii and IX deals with Volterra stheory of dislocations. A new chapter, dealing with the equilibrium of thin shells, has been added at the end of the book, and the Articles in it are numbered consecutively with those in the preceding chapter. It is unnecessary to dwell on the importance of the science of Elasticity, either arising from the physical notions involved in its development, or from its applications to the mechaiiics of solid bodies as they really are, or from the illustrations it affords of analytical methods that are widely used in other branches of theoretical physics. The object of the book is to present a reasonably complete account of the science from the points of view of the physicist, the engineer and the student of mathematics. To avoid undue expansion many matters of interest to one or other of these three Classes of readers had to be omitted, or treated very briefly, but it is hoped that the numerous references to authorities will assist them in finding at least the beginnings of the relevant literature. In a science, to which many additions are made annually, it is impossible for a treatise of moderate size to be other than very incomplete. A student approaching the subject for the first time may find the long preliminary discussions somewhat forbidding. He is
(Typographical errors above are due to OCR software and don't occur in the book.)