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Titlebook: Recent Developments in Anisotropic Heterogeneous Shell Theory; General Theory and A Alexander Ya. Grigorenko,Wolfgang H. Müller,Georgi Book

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Mechanics of Anisotropic Heterogeneous Shells: Fundamental Relations for Different Models,eometrical and mechanical parameters of the shells and mechanical loads applied to them are such that, considering the shell as a unit stack, the hypothesis of undeformed normals is valid. In the case of laminated shells made of new composite materials with low shearing stiffness, where anisotropy a
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Some Solutions for Anisotropic Heterogeneous Shells Based on Classical Model,, and boundary conditions on the behavior of natural frequencies and vibration modes of a plate and cone is analyzed. Much attention is given to the validation of the reliability of the results obtained by numerical calculations.
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Book 2016troduction, during whichthe history and state-of-the-art are discussed, the first chapterpresents the mechanics of anisotropic heterogeneous shells, covering allrelevant assumptions and the basic relations of 3D elasticity, classical andrefined shell models. The second chapter examines the numerical
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Mechanics of Anisotropic Heterogeneous Shells: Fundamental Relations for Different Models,terials with discrete (multilayer) structure or of continuously inhomogeneous materials (functionally gradient materials). The stationary deformation of such shells is analyzed by using various mechanical models. The basic relations of the theory of elasticity, which include equilibrium equations of
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Discrete-Continuous Methods for Solution,ial differential equations with variable coefficients are presented. In order to solve one-dimensional problems, the discrete-orthogonalization method is proposed. This approach is based on reducing the boundary-value problem to a number of Cauchy problems followed by their orthogonalization at some
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Some Solutions for Anisotropic Heterogeneous Shells Based on Classical Model,he numerical approaches outlined in Chap. . of this book. The stress-strain problems for shallow, noncircular cylindrical shells and shells of revolution are solved. Various types of boundary conditions and loadings are considered. Distributions of stress and displacement fields in shells of the afo
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2191-530X on classical shell theory. After a brief introduction, during whichthe history and state-of-the-art are discussed, the first chapterpresents the mechanics of anisotropic heterogeneous shells, covering allrelevant assumptions and the basic relations of 3D elasticity, classical andrefined shell models
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