Recent Developments in Anisotropic Heterogeneous Shell Theory General Theory and Applications of Classical Theory - Volume 1 / [electronic resource] :
by Alexander Ya. Grigorenko, Wolfgang H. M�uller, Yaroslav M. Grigorenko, Georgii G. Vlaikov.
- 1st ed. 2016.
- XVI, 116 p. 25 illus., 24 illus. in color. online resource.
- SpringerBriefs in Applied Sciences and Technology, 2191-530X .
- SpringerBriefs in Applied Sciences and Technology, .
Introduction -- Mechanics of anisotropic heterogeneous shells: Fundamental relations for different models -- Discrete-continuous methods for solution -- Solutions based on the classical model -- Conclusions.
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.
9789811003530
10.1007/978-981-10-0353-0 doi
Engineering. Mathematical models. Continuum mechanics. Engineering. Continuum Mechanics and Mechanics of Materials. Mathematical Modeling and Industrial Mathematics.