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Mechanics of Curved Composites

  • Book
  • © 2000

Overview

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

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Table of contents (13 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Yildiz Technical University, Istanbul, Turkey

    S. D. Akbarov

  • Institute of Mathematics and Mechanics of Academy of Science of Azerbaijan, Baku, Azerbaijan

    S. D. Akbarov

  • Institute of Mechanics of National Academy of Science of Ukraine, Kiev, Ukraine

    A. N. Guz

Bibliographic Information

  • Book Title: Mechanics of Curved Composites

  • Authors: S. D. Akbarov, A. N. Guz

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-010-9504-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2000

  • Softcover ISBN: 978-1-4020-0383-7Published: 30 November 2001

  • eBook ISBN: 978-94-010-9504-4Published: 06 December 2012

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XVI, 448

  • Topics: Classical Mechanics, Applications of Mathematics

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