This book is designed for use by students and teachers in the field of
applied mechanics and mathematics, and for practitioners in civil and
mechanical engineering. Since tensor calculus is an indispensable
prerequisite when dealing with the theory of elasticity in a modern way,
the first part of the book consists in an introduction into this
subject. In the second part, the physical foundations of the theory of
elasticity are given, including nonlinearities. The excursion into the
field of geometric and physical nonlinearities is done in order to
prepare the reader for further advances into the most recent
developments of the theory. The book itself, in the remainder, is
restricted to linear problems only. The third part of the book deals
with the mathematical theory of linear elasticity in full extent.
Curvilinear problems, two- and three-dimensional problems are included.
Stress has been put on working out a systematic approach to the
solutions of all kinds of stress states, not neglecting triaxial
problems. Also, energy methods have been dealt with, taking into account
the generalization and extension of these methods by Rüdiger and Reiss-
ner. The fourth and last part of the book consists in an application of
the general methods, as outlined in part 3, to special structures like
plates and shells, thus giving hopefully something of interest to the
practising engineer.
