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Mechanics of Composite Materials

, Volume 41, Issue 4, pp 291–302 | Cite as

Stress Distribution in an Infinite Elastic Body with a Locally Curved Fiber in a Geometrically Nonlinear Statement

  • S. D. Akbarov
  • R. Kosker
  • K. Simsek
Article

Abstract

Within the framework of a piecewise homogeneous body model, with the use of three-dimensional geometrically nonlinear exact equations of elasticity theory, a method for determining the stress—strain state in unidirectional fibrous composites with locally curved fibers is developed for the case where the interaction between the fibers is neglected. All the investigations are carried out for an infinite elastic body containing a single locally curved fiber. Numerical results illustrating the effect of geometrical nonlinearity on the distribution of the self-balanced normal and shear stresses acting on the interface and arising as a result of local curving of the fiber are presented.

Keywords

fibrous composites local curving geometrical nonlinearity stress distribution 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. D. Akbarov
    • 1
    • 2
  • R. Kosker
    • 1
  • K. Simsek
    • 3
  1. 1.Faculty of Chemistry and MetallurgyYildiz Technical UniversityIstanbulTurkey
  2. 2.Institute of Mathematics and MechanicsNational Academy of Sciences of AzerbaijanBakuAzerbaijan
  3. 3.Faculty of Art and SciencesYildiz Technical UniversityIstanbulTurkey

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