Antiplane Elastic Systems - Ergebnisse der angewandten Mathematik - Louis M. Milne-Thomson - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540028055 - 1962
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Louis M. Milne-Thomson
Antiplane Elastic Systems - Ergebnisse der angewandten Mathematik Softcover reprint of the original 1st ed. 1962 edition

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The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.

266 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released 1962
ISBN13 9783540028055
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 266
Dimensions 152 × 229 × 15 mm   ·   371 g
Language English  

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