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Antiplane Elastic Systems (Paperback, Softcover reprint of the original 1st ed. 1962)
Loot Price: R1,462
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Antiplane Elastic Systems (Paperback, Softcover reprint of the original 1st ed. 1962)
Series: Ergebnisse der angewandten Mathematik, 8
Expected to ship within 10 - 15 working days
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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.
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