Cusped Shell-Like Structures

  • George Jaiani

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-viii
  2. George Jaiani
    Pages 1-2
  3. George Jaiani
    Pages 3-13
  4. George Jaiani
    Pages 15-30
  5. George Jaiani
    Pages 31-50
  6. George Jaiani
    Pages 51-60
  7. George Jaiani
    Pages 61-72
  8. Back Matter
    Pages 75-76

About this book

Introduction

The book is devoted to an up-dated exploratory survey of results concerning elastic cusped shells, plates, and beams and cusped prismatic shell-fluid interaction problems. It contains some up to now non-published results as well. Mathematically the corresponding problems lead to non-classical, in general, boundary value and initial-boundary value problems for governing degenerate elliptic and hyperbolic systems in static and dynamical cases, respectively. Its uses two fundamentally different approaches of investigation: 1) to get results for two-dimensional and one-dimensional problems from results of the corresponding three-dimensional problems and 2) to investigate directly governing degenerate and singular systems of 2D and 1D problems. In both the cases, it is important to study relation of 2D and 1D problems to 3D problems.

Keywords

Cusped beams cusped plates cusped prismatic shells degenerate hyperbolic equations elliptic equations linear elasticity mathematical modeling mathematical moments physical moments

Authors and affiliations

  • George Jaiani
    • 1
  1. 1.Inst. Applied MathematicsTbilisi State UniversityTbilisiGeorgia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-22101-9
  • Copyright Information George Jaiani 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-22100-2
  • Online ISBN 978-3-642-22101-9
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book
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