Authors:
- Presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity
- Offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinde
- Develops a general theory for a transversally-isotropic spherical shell
Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 99)
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Table of contents (6 chapters)
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Front Matter
About this book
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.
Authors and Affiliations
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Faculty of Applied Mathematics, Baku State University, Baku, Azerbaijan
Magomed F. Mekhtiev
Bibliographic Information
Book Title: Asymptotic Analysis of Spatial Problems in Elasticity
Authors: Magomed F. Mekhtiev
Series Title: Advanced Structured Materials
DOI: https://doi.org/10.1007/978-981-13-3062-9
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-3061-2Published: 20 November 2018
eBook ISBN: 978-981-13-3062-9Published: 11 November 2018
Series ISSN: 1869-8433
Series E-ISSN: 1869-8441
Edition Number: 1
Number of Pages: VI, 241
Number of Illustrations: 16 b/w illustrations
Topics: Solid Mechanics