An Elementary Treatise On The Mathematical Theory Of Perfectly Elastic Solids

Excerpt from An Elementary Treatise on the Mathematical Theory of Perfectly Elastic Solids: With a Short Account of Viscous Fluids In the present Volume I have attempted to present to the English student a continuous and fairly complete analysis of the Mathematical Theory of Elasticity, as it stands at present, together with a brief account of the physical basis on which the theory rests, and of the considerations which limit its practical application to natural materials. It would, of course, have been impossible to exhaust so wide a subject within the limits of an elementary text book, and my endeavour has rather been, after giving a very full and clear account of the properties of Strain and Stress, considered separately and in their relations to one another, to indicate to the student as many as possible of the various modes of further advance, in order that he may be able to read without difficulty any of the more specialised memoirs, both theoretical and practical, that constitute the already enormous literature of Elasticity. The labour involved in the collection and arrangement of the materials for such a Work can only be appreciated by those who have fully studied the subject for themselves, and it would have been largely increased had I undertaken to acknowledge in footnotes the sources from which each theorem or formula was derived. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from An Elementary Treatise on the Mathematical Theory of Perfectly Elastic Solids: With a Short Account of Viscous Fluids IN the present Volume I have attempted to present to the English student a continuous and fairly complete analysis of the Mathematical Theory of Elasticity, as it stands at present, together with a brief account of the physical basis on which the theory rests, and of the considerations which limit its practical application to natural materials. It would, of course, have been impossible to exhaust so wide a subject within the limits of an elementary text-book, and my endeavour has rather been, after giving a very full and clear account of the properties of Strain and Stress, considered separ ately and in their relations to one another, to indicate to the student as many as possible of the various modes of further advance, in order that he may be able to read without difficulty any of the more specialised memoirs, both theoretical and practical. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

An indispensable reference work for engineers, mathematicians, and physicists, this book is the most complete and authoritative treatment of classical elasticity in a single volume. Beginning with elementary notions of extension, simple shear and homogeneous strain, the analysis rapidly undertakes a development of types of strain, displacements corresponding to a given strain, cubical dilatation, composition of strains and a general theory of strains. A detailed analysis of stress including the stress quadric and uniformly varying stress leads into an exposition of the elasticity of solid bodies. Based upon the work-energy concept, experimental results are examined and the significance of elastic constants in general theory considered. Hooke's Law, elastic constants, methods of determining stress, thermo-elastic equations, and other topics are carefully discussed. --Back cover.