Asymptotic Analysis of Spatial Problems in Elasticity

The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability.

Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress–strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells.

Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the fieldof theory of elasticity, theory of plates and shells, and applied mathematics.  

1133676392
Asymptotic Analysis of Spatial Problems in Elasticity

The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability.

Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress–strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells.

Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the fieldof theory of elasticity, theory of plates and shells, and applied mathematics.  

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Asymptotic Analysis of Spatial Problems in Elasticity

Asymptotic Analysis of Spatial Problems in Elasticity

by Magomed F. Mekhtiev
Asymptotic Analysis of Spatial Problems in Elasticity

Asymptotic Analysis of Spatial Problems in Elasticity

by Magomed F. Mekhtiev

eBook1st ed. 2019 (1st ed. 2019)

$99.00 

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Overview

The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability.

Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress–strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells.

Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the fieldof theory of elasticity, theory of plates and shells, and applied mathematics.  


Product Details

ISBN-13: 9789811330629
Publisher: Springer-Verlag New York, LLC
Publication date: 11/11/2018
Series: Advanced Structured Materials , #99
Sold by: Barnes & Noble
Format: eBook
File size: 32 MB
Note: This product may take a few minutes to download.

Table of Contents

1 Asymptotic Theory Of A Cylindrical Shell.- 2 Constructing Homogeneous Solutions To A Transversallyisotropic Spherical Shell.- 3 Constructing Homogeneous Solutions For A Truncated Hollow Cone.- 4 Asymptotic Behavior Of The Solution To An Axially Symmetric Problem Of Elasticity Theory For A Transversally-Isotropic Hollow Cone.


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