This volume focuses
on the relevant general theory and presents some first applications, namely
those based on classical shell theory. After a brief introduction, during which
the history and state-of-the-art are discussed, the first chapter
presents the mechanics of anisotropic heterogeneous shells, covering all
relevant assumptions and the basic relations of 3D elasticity, classical and
refined shell models. The second chapter examines the numerical techniques that
are used, namely discrete orthogonalization, spline-collocation and Fourier
series, while the third highlights applications based on classical theory, in
particular, the stress-strain state of shallow shells, non-circular shells,
shells of revolution, and free vibrations of conical shells. The book concludes
with a summary and an outlook bridging the gap to the
second volume.