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Asymptotic analysis of spatial probl...

Mekhtiev, Magomed F.

Asymptotic analysis of spatial problems in elasticity

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Asymptotic analysis of spatial problems in elasticityby Magomed F. Mekhtiev.
作者:	Mekhtiev, Magomed F.
出版者:	Singapore :Springer Singapore :2019.
面頁冊數:	vi, 241 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Elastic plates and shells.
電子資源:	https://doi.org/10.1007/978-981-13-3062-9
ISBN:	9789811330629$q(electronic bk.)

Asymptotic analysis of spatial problems in elasticity
Mekhtiev, Magomed F.

Asymptotic analysis of spatial problems in elasticity[electronic resource] /by Magomed F. Mekhtiev. - Singapore :Springer Singapore :2019. - vi, 241 p. :ill., digital ;24 cm. - Advanced structured materials,v.991869-8433 ;. - Advanced structured materials ;v.13..

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.

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 field of theory of elasticity, theory of plates and shells, and applied mathematics.

ISBN: 9789811330629$q(electronic bk.)

Standard No.: 10.1007/978-981-13-3062-9doiSubjects--Topical Terms:

229151
Elastic plates and shells.

LC Class. No.: QA935 / .M454 2019

Dewey Class. No.: 624.1776

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505 0 $a 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.
520 $a 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 field of theory of elasticity, theory of plates and shells, and applied mathematics.
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