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Author: A. E. H. Love
Publisher: Forgotten Books
ISBN: 9780331591569
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Excerpt from A Treatise on the Mathematical Theory of Elasticity, Vol. 2 Theories of the behaviour of thin bodies, as of bodies in general, are of two kinds. Either they are founded on special hypotheses, or they start from the general equations of Elasticity. Before the time of N avier all writers on rods and plates naturally adopted the former method, after his time most valuable investigations will be found to proceed by way of the latter. His researches form the turning point in the history of special problems as in that of general theory. Nevertheless the persistence of the older theories after the discovery of the general equations had made more exact investigations possible, and even after they had been carried out, is one of the most noteworthy facts in the history of our subject'. We shall now trace briefly the development of the theory of thin rods and its applications, we shall then consider the theory of thin plates, and we shall conclude by noticing the theory of elastic stability. 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.
Author: A. E. H. Love
Publisher: Forgotten Books
ISBN: 9780331591569
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Excerpt from A Treatise on the Mathematical Theory of Elasticity, Vol. 2 Theories of the behaviour of thin bodies, as of bodies in general, are of two kinds. Either they are founded on special hypotheses, or they start from the general equations of Elasticity. Before the time of N avier all writers on rods and plates naturally adopted the former method, after his time most valuable investigations will be found to proceed by way of the latter. His researches form the turning point in the history of special problems as in that of general theory. Nevertheless the persistence of the older theories after the discovery of the general equations had made more exact investigations possible, and even after they had been carried out, is one of the most noteworthy facts in the history of our subject'. We shall now trace briefly the development of the theory of thin rods and its applications, we shall then consider the theory of thin plates, and we shall conclude by noticing the theory of elastic stability. 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.
Author: Augustus Edward Hough Love
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 348
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Book Description
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.
Author: A. E. H. Love
Publisher: Cambridge University Press
ISBN: 1107618096
Category : Mathematics
Languages : en
Pages : 663
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Book Description
Originally published in 1927, this is a classic account of the mathematical theory of elasticity by English mathematician A. E. H. Love. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering.
Author: Augustus Edward Hough Love
Publisher: Legare Street Press
ISBN: 9781017670035
Category :
Languages : en
Pages : 0
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Book Description
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 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. 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.
Author: William John Ibbetson
Publisher: Forgotten Books
ISBN: 9780484533096
Category : Science
Languages : en
Pages : 542
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Book Description
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.
Author:
Publisher: Elsevier
ISBN: 9780080535913
Category : Mathematics
Languages : en
Pages : 496
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Book Description
The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.
Author: Augustus Edward Hough Love
Publisher: Franklin Classics
ISBN: 9780343576806
Category :
Languages : en
Pages : 356
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Book Description
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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Augustus Edward Hough Love
Publisher: Legare Street Press
ISBN: 9781015866324
Category :
Languages : en
Pages : 0
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Book Description
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 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. 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.
Author: Augustus Edward Hough Love
Publisher: Forgotten Books
ISBN: 9781330340912
Category : Science
Languages : en
Pages : 577
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Book Description
Excerpt from A Treatise on the Mathematical Theory of Elasticity This book is a second edition of one with the same title which was published by the Cambridge University Press in two volume bearing the dates 1892 and 1893. At the time, about five years ago, when it first became necessary to think about a new edition, a number of friends had sent me criticism of particular sections of the book and suggestion for improvements in matters of detail. Among these friends Prof. W. J. Lewis and Prof. W. M. F. Orr must me named with especial gratitude. I knew then that two are three chapters ought to be written, and that the results of several new researches to be incorporated, but I did not contemplate a very extension revision. The task of rearranging the old matter, with some considerable addition and a few slight omissions become distasteful, and the result appear to unsatisfactory, that at the length I abandoned the attempt, and wrote a new book containing some extracts form the old one. The science of of Elasticity - the mechanics of solid bodies ad they really are - is so important in itself, and the physical nations and analytic processes belonging to the theory are so widely used in other branches of Physics, that no apology seems to be necessary for the course that has been pursued. In the selection, and the mode of presentation, of the matter three objects have been kept in view: to make the book useful to engineers, or others, whose aims are chiefly practical, to emphasize the bearing of the theory on general questions of natural physiology, to afford a reasonably complete picture of the state of the science as it is the to-day. The desire to be useful had let me to undertake some rather laborious arithmetical computations, physical interest has promoted some thing more than a passing reference to several matter which lie outside the strict scope of the mechanical theory, completeness has be required the inclusion of some rather long analytical investigations. 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.
Author: Augustus Edward Hough Love
Publisher:
ISBN:
Category :
Languages : en
Pages : 354
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Book Description
