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Titlebook: Asymptotic Analysis of Spatial Problems in Elasticity; Magomed F. Mekhtiev Book 2019 Springer Nature Singapore Pte Ltd. 2019 plates and sh

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Compatibility and Advanced Interoperation,In this chapter we construct an asymptotic theory for a general conical shell of variable thickness, valid in particular for a cylindrical shell. This theory contains methods for constructing homogeneous solutions, and indicates a way for constructing inhomogeneous solutions.
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How to Obtain, Install, and Use F#,In this chapter, an extension-compression problem for a transtropic (transversally-isotropic) plate of variable thickness under the action of axially-symmetric loads is studied by the method of homogeneous solutions.
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Asymptotic Theory of a Cylindrical Shell,In this chapter we develop a general theory of a transversally-isotropic cylindrical shell. This theory includes the methods for constructing inhomogeneous and homogeneous solutions that admit to reveal typical features of the stress-strain state of an anisotropic cylindrical shell.
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Constructing Homogeneous Solutions to a Transversally-Isotropic Spherical Shell,In this chapter we give the solution of a problem of equilibrium of transversally-isotopic spherical shell under homogeneous boundary conditions on the faces and given by the system symmetric with respect to the rotation axis on the lateral part of the boundary. Behavior of the solution for small value of the thinness parameter . is studied.
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Constructing Homogeneous Solutions for a Truncated Hollow Cone,We will consider an axially symmetric problem of isotropic theory of elasticity for a truncated hollow cone of variable thickness.
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Asymptotic Analysis of a Tension-Compression Problem for a Variable Thickness Transtropic Plate,In this chapter, an extension-compression problem for a transtropic (transversally-isotropic) plate of variable thickness under the action of axially-symmetric loads is studied by the method of homogeneous solutions.
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