Advanced Structured Materials

Asymptotic Analysis of Spatial Problems in Elasticity

Authors: Mekhtiev, Magomed F.

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  • 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
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-981-13-3062-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-981-13-3061-2
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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 field of theory of elasticity, theory of plates and shells, and applied mathematics.  

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Asymptotic Theory of a Cylindrical Shell

    Mekhtiev, Magomed F.

    Pages 1-62

  • Constructing Homogeneous Solutions to a Transversally-Isotropic Spherical Shell

    Mekhtiev, Magomed F.

    Pages 63-121

  • Constructing Homogeneous Solutions for a Truncated Hollow Cone

    Mekhtiev, Magomed F.

    Pages 123-133

  • Asymptotic Behavior of the Solution to an Axially Symmetric Problem of Elasticity Theory for a Transversally-Isotropic Hollow Cone

    Mekhtiev, Magomed F.

    Pages 135-186

  • Asymptotic Analysis of a Tension-Compression Problem for a Variable Thickness Transtropic Plate

    Mekhtiev, Magomed F.

    Pages 187-210

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-981-13-3062-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-981-13-3061-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic Analysis of Spatial Problems in Elasticity
Authors
Series Title
Advanced Structured Materials
Series Volume
99
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-3062-9
DOI
10.1007/978-981-13-3062-9
Hardcover ISBN
978-981-13-3061-2
Series ISSN
1869-8433
Edition Number
1
Number of Pages
VI, 241
Number of Illustrations
16 b/w illustrations
Topics