Advances in Mechanics and Mathematics

Mathematical Models of Higher Orders

Shells in Temperature Fields

Authors: Krysko, V.A., Awrejcewicz, J., Zhigalov, M.V., Kirichenko, V.F., Krysko, A.V.

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  • Exemplifies the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members
  • Offers a new class of generalized problems of diffraction in theory of shells based on the fundamental variational equations of thermomechanics of shallow shells
  • Features new results regarding nonlinear dynamics of the studied objects, including regular and non-regular vibrations and their bifurcations
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eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-030-04714-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-030-04713-9
  • 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
About this book

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction

    Pages 1-19

    Krysko, Vadim A. (et al.)

  • Mathematical Modeling of Nonlinear Dynamics of Continuous Mechanical Structures with an Account of Internal and External Temperature Fields

    Pages 21-131

    Krysko, Vadim A. (et al.)

  • Nonclassical Models and Stability of Multilayer Orthotropic Thermoplastic Shells within Timoshenko Modified Hypotheses

    Pages 133-247

    Krysko, Vadim A. (et al.)

  • General Problems of Diffraction in the Theory of Design: Nonlinear Shells and Plates Locally Interacting with Temperature Fields

    Pages 249-305

    Krysko, Vadim A. (et al.)

  • Stability of Flexible Shallow Shells Subject to Transversal Loads and Heat Flow

    Pages 307-330

    Krysko, Vadim A. (et al.)

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-3-030-04714-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-030-04713-9
  • 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
Mathematical Models of Higher Orders
Book Subtitle
Shells in Temperature Fields
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
42
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-04714-6
DOI
10.1007/978-3-030-04714-6
Hardcover ISBN
978-3-030-04713-9
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XII, 470
Number of Illustrations
6 b/w illustrations, 133 illustrations in colour
Topics