Plane Elastic Systems:
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Bibliographic Details
Main Author: Milne-Thomson, L. M. (Author)
Format: Electronic eBook
Language:German
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1960
Series:Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" 6
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Online Access:Volltext
Item Description:In 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 FILON 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 FILONENKO-BoRODICH. Although FILON 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. STEVENSON in a paper received by the Royal Society in 1940 but which was not published, for security reasons, untill945
Physical Description:1 Online-Ressource (VIII, 211 S.)
ISBN:9783642527548
9783642527555
DOI:10.1007/978-3-642-52754-8

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