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 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.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Ergebnisse der angewandten Mathematik, 6 |
Release date: |
1968 |
First published: |
1968 |
Authors: |
Louis M. Milne-Thomson
|
Dimensions: |
244 x 170 x 12mm (L x W x T) |
Format: |
Paperback
|
Pages: |
211 |
Edition: |
2nd ed. 1968 |
ISBN-13: |
978-3-540-04092-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-540-04092-7 |
Barcode: |
9783540040927 |
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