A Course in Elasticity

• B. M. Fraeijs de Veubeke
Book

Part of the Applied Mathematical Sciences book series (AMS, volume 29)

1. Front Matter
Pages i-ix
2. B. M. Fraeijs de Veubeke
Pages 1-28
3. B. M. Fraeijs de Veubeke
Pages 29-47
4. B. M. Fraeijs de Veubeke
Pages 48-55
5. B. M. Fraeijs de Veubeke
Pages 56-80
6. B. M. Fraeijs de Veubeke
Pages 81-134
7. B. M. Fraeijs de Veubeke
Pages 135-200
8. B. M. Fraeijs de Veubeke
Pages 201-275
9. B. M. Fraeijs de Veubeke
Pages 276-321
10. Back Matter
Pages 322-333

Introduction

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).

Keywords

Calculation Elastizität Finite Invariant algebra calculus equation function mathematics mechanics variable

Authors and affiliations

• B. M. Fraeijs de Veubeke
• 1
1. 1.University of Liege and LouvainBelgium

Bibliographic information

• DOI https://doi.org/10.1007/978-1-4612-6226-8
• Copyright Information Springer-Verlag New York 1979
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-0-387-90428-3
• Online ISBN 978-1-4612-6226-8
• Series Print ISSN 0066-5452
• Buy this book on publisher's site