Plane Elastic Systems VI
Author: Louis Melville Milne-Thomson
Publisher:
Published: 1959
Total Pages: 37
ISBN-13:
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Author: Louis Melville Milne-Thomson
Publisher:
Published: 1959
Total Pages: 37
ISBN-13:
DOWNLOAD EBOOKAuthor: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
Published:
Total Pages: 39
ISBN-13:
DOWNLOAD EBOOKAuthor: Louis M. Milne-Thomson
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 220
ISBN-13: 3642878709
DOWNLOAD EBOOKIn an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FlLO~ also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KoLOsov (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FlLO)!E~KO-BoRODICH. Although FILO)! proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVEXSOX in a paper received by the Royal Society in 1940 but which was not published, for security reasons, until 1945.
Author: UNITED STATES. DEPARTMENT OF THE ARMY. MATHEMATICS RESEARCH CENTER.
Publisher:
Published:
Total Pages: 39
ISBN-13:
DOWNLOAD EBOOKAuthor: A.M. Linkov
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 286
ISBN-13: 9401599149
DOWNLOAD EBOOKby the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.
Author: Jian-Ke Lu
Publisher: World Scientific
Published: 1995
Total Pages: 246
ISBN-13: 9789810220938
DOWNLOAD EBOOKThis book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.
Author:
Publisher:
Published: 1965
Total Pages: 886
ISBN-13:
DOWNLOAD EBOOKAuthor: John Arthur Simmons
Publisher:
Published: 1970
Total Pages: 752
ISBN-13:
DOWNLOAD EBOOKAuthor: Mykhaylo P. Savruk
Publisher: Springer
Published: 2016-09-27
Total Pages: 510
ISBN-13: 3319445553
DOWNLOAD EBOOKThis book compiles solutions of linear theory of elasticity problems for isotropic and anisotropic bodies with sharp and rounded notches. It contains an overview of established and recent achievements, and presents the authors’ original solutions in the field considered with extensive discussion. The volume demonstrates through numerous, useful examples the effectiveness of singular integral equations for obtaining exact solutions of boundary problems of the theory of elasticity for bodies with cracks and notches. Incorporating analytical and numerical solutions of the problems of stress concentrations in solid bodies with crack-like defects, this volume is ideal for scientists and PhD students dealing with the problems of theory of elasticity and fracture mechanics.
Author:
Publisher:
Published: 1974
Total Pages: 628
ISBN-13:
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