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Recent Developments in Anisotropic Heterogeneous Shell Theory [electronic resource] : General Theory and Applications of Classical Theory - Volume 1 / by Alexander Ya. Grigorenko, Wolfgang H. M�uller, Yaroslav M. Grigorenko, Georgii G. Vlaikov.

By: Grigorenko, Alexander Ya [author.].
Contributor(s): M�uller, Wolfgang H [author.] | Grigorenko, Yaroslav M [author.] | Vlaikov, Georgii G [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Applied Sciences and Technology: Publisher: Singapore : Springer Singapore : Imprint: Springer, 2016Edition: 1st ed. 2016.Description: XVI, 116 p. 25 illus., 24 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811003530.Subject(s): Engineering | Mathematical models | Continuum mechanics | Engineering | Continuum Mechanics and Mechanics of Materials | Mathematical Modeling and Industrial MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access online
Contents:
Introduction -- Mechanics of anisotropic heterogeneous shells: Fundamental relations for different models -- Discrete-continuous methods for solution -- Solutions based on the classical model -- Conclusions.
In: Springer eBooksSummary: 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.
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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.

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