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.