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Applied Mathematical Sciences

A Course in Elasticity

Authors: Fraeijs de Veubeke, B. M.

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About this book

This book is based on lecture notes of the late Professor de Veubeke. The subject is presented at a level suitable for graduate students in engineering, physics, or mathematics. Some exposure to linear algebra, complex analysis, variational calculus, or basic continuum mechanics would be helpful. The first third of the book contains the fundamentals of the theory of elasticity. Kinematics of continuous media, the notions of stress and equilibrium, conservation of energy, 'and the elastic constitutive law are each treated first in a nonlinear context, then specialized to the linear case. The remainder of the book is given to three classic applications of the theory, each supplemented by original re­ sults based on the use of complex variables. Each one of the three topics - Saint-Venant's theory of prismatic beams, plane deformations, and the bending of plates - is first pre­ sented and analyzed in general, then rounded out with numerous specific and sometimes novel examples. The following notational conventions are generally in force, except where noted to the contrary: lower case boldface letters denote vectors or triples of Cartesian co­ ordinates, upper case boldface letters denote 3 x 3 matrices, repeated lower case Latin subscripts are summed over (1,2,3), and non-repeated lower case Latin subscripts are assumed to range over (1,2,3).

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 80,24 €
price for Spain (gross)
  • ISBN 978-1-4612-6226-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 98,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
A Course in Elasticity
Authors
Translated by
Simons, D.A., Ficken, F.A.
Series Title
Applied Mathematical Sciences
Series Volume
29
Copyright
1979
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-6226-8
DOI
10.1007/978-1-4612-6226-8
Softcover ISBN
978-0-387-90428-3
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XII, 330
Topics

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