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Mechanics of Curved Composites

  • S. D. Akbarov
  • A. N. Guz

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 78)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. S. D. Akbarov, A. N. Guz
    Pages 1-6
  3. S. D. Akbarov, A. N. Guz
    Pages 7-54
  4. S. D. Akbarov, A. N. Guz
    Pages 55-81
  5. S. D. Akbarov, A. N. Guz
    Pages 83-127
  6. S. D. Akbarov, A. N. Guz
    Pages 129-220
  7. S. D. Akbarov, A. N. Guz
    Pages 221-253
  8. S. D. Akbarov, A. N. Guz
    Pages 255-283
  9. S. D. Akbarov, A. N. Guz
    Pages 285-333
  10. S. D. Akbarov, A. N. Guz
    Pages 335-353
  11. S. D. Akbarov, A. N. Guz
    Pages 355-365
  12. S. D. Akbarov, A. N. Guz
    Pages 367-400
  13. S. D. Akbarov, A. N. Guz
    Pages 401-414
  14. S. D. Akbarov, A. N. Guz
    Pages 415-425
  15. Back Matter
    Pages 427-448

About this book

Introduction

This book is the frrst to focus on mechanical aspects of fibrous and layered composite material with curved structure. By mechanical aspects we mean statics, vibration, stability loss, elastic and fracture problems. By curved structures we mean that the reinforcing layers or fibres are not straight: they have some initial curvature, bending or distortion. This curvature may occur as a result of design, or as a consequence of some technological process. During the last two decades, we and our students have investigated problems relating to curved composites intensively. These investigations have allowed us to study stresses and strains in regions of a composite which are small compared to the curvature wavelength. These new, accurate, techniques were developed in the framework of continuum theories for piecewise homogeneous bodies. We use the exact equations of elasticity or viscoelasticity for anisotropic bodies, and consider linear and non-linear problems in the framework of this continuum theory as well as in the framework of the piecewise homogeneous model. For the latter the method of solution of related problems is proposed. We have focussed our attention on self-balanced stresses which arise from the curvature, but have provided sufficient information for the study of other effects. We assume that the reader is familiar with the theory of elasticity for anisotropic bodies, with partial differential equations and integral transformations, and also with the Finite Element Method.

Keywords

composite finite element method materials mechanics stability

Authors and affiliations

  • S. D. Akbarov
    • 1
    • 2
  • A. N. Guz
    • 3
  1. 1.Yildiz Technical UniversityIstanbulTurkey
  2. 2.Institute of Mathematics and Mechanics of Academy of Science of AzerbaijanBakuAzerbaijan
  3. 3.Institute of Mechanics of National Academy of Science of UkraineKievUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-9504-4
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0383-7
  • Online ISBN 978-94-010-9504-4
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site
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