Skip to main content
SpringerLink
Log in

Stress distribution in an infinite elastic body containing two neighboring locally curved fibers

  • Published:
Mechanics of Composite Materials Aims and scope

A method is developed for analyzing the stresses in an infinite elastic body containing two neighboring inphase locally curved fibers located along two parallel lines. The body is loaded at infinity by uniformly distributed nor mal forces in the direction of fibers. The investigation is carried out within the frame work of a piecewise homogeneous body model with the use of the three-dimensional ex act equations of the elasticity theory. Numerical results for stress distributions in the body and for the influence of interaction between fibers on these distributions are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yu. M. Tarnopolskii, I. G. Zhigun, and V. A. Polyakov, Spatially Reinforced Composite Materials. Hand book [in Russian], Mashinostroenie, Moscow (1987).

    Google Scholar 

  2. A. N. Guz’, Failure Mechanics of Composite Materials in Compression [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  3. A. Kelly, “Composite Materials: impediments to wider use and some suggestions to over come these,” in: Proc. Book ECCM-8, 3-6 June, Napoles, Italy. Vol. I (1998), pp. 5-18.

  4. S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic Publishers (2000).

  5. A. N. Guz’, “On a two-level model in the mesomechanics of compression fracture of cracked composites,” Int. Appl. Mech., 39, No. 3, 274-285 (2003).

    Article  Google Scholar 

  6. S. D. Akbarov and A. N. Guz’, “Method of solving problems in the mechanics of fiber composites with curved structures,” Sov. Appl. Mekh., 777-785 (March, 1985).

  7. S. D. Akbarov and A. N. Guz’, “Mechanics of curved composites (piecewise homogenous body model),” Int. Appl. Mech., 38, No. 12, 1415-1439 (2002).

    Article  Google Scholar 

  8. R. Kosker and S. D. Akbarov, “Influence of the interaction between two neighboring periodically curved fibers on the stress distribution in a composite material,” Mech. Compos. Mater., 39, No. 2, 165-176 (2003).

    Article  Google Scholar 

  9. S. D. Akbarov and R. Kosker, “On a stress analysis in an infinite elastic body with two neighbouring curved fibers,” Composites. Pt. B: Engineering, 34, No. 2, 143-150 (2003).

    Article  Google Scholar 

  10. S. D. Akbarov, “Three-dimensional stability loss problems of viscoelastic composite materials and structural members,” Int. Appl. Mech., 43, No. 10, 3-27 (2007).

    Article  MATH  Google Scholar 

  11. E. K. Dzhafarova, “On the solution method of stress-strain state problems in fibrous composites with locally curved structures,” in: Transactions of the Conference of New Scientists of the Institute of Mechanics of the Academy of Sciences of Ukraine, Pt. I [in Russian], Kiev, (1992), pp. 39-44.

  12. E. K. Dzhafarova, “Distribution of self-equilibrated stresses in fibrous composite materials with local curvings in their structures,” Dep. in VINITI, No. 2166-B94 (1994).

  13. E. K. Dzhafarova, Stress State in Composite Materials with Locally Curved Fibers, PhD, Inst. Mathem. Mekh.. AN Azerb. Rep., Baku (1995).

    Google Scholar 

  14. S. D. Akbarov, R. Kosker, and K. Simsek, “Stress distribution in an infinite elastic body with a locally curved fiber in a geometrically nonlinear statement,” Mech. Compos. Mater., 41, No. 4, 291-302 (2005).

    Article  Google Scholar 

  15. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer (1999).

  16. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press (1944).

  17. L. V. Kantorovich and V. I. Krilov, Approximate Methods in Advanced Calculus [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  18. A. N. Guz’, J. J. Rushchitsky, and I. A. Guz’, “Establishing fundamentals of the mechanics of nanocomposites,” Int. Appl. Mech., 43, No. 3 (2007).

    Google Scholar 

  19. A. N. Guz’ and V. N. Chekhov, “Problems of folding in the earth’s stratified crust,” Int. Appl. Mech., 43, No. 2, (2007).

  20. K. Q. Xiao, L. C. Zhang, and I. Zarudi, “Mechanical and rheological properties of carbon nanotube-reinforced polyethylene composites,” Compos. Sci. Technol., 67, 77-182 (2007).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Engineering, Yildiz Technical University, Faculty of Chemistry and Metallurgy, Davutpasa Campus No. 127, Topkapi, 34010, Istanbul, Turkey

    R. Kosker & N. T. Cinar

Authors
  1. R. Kosker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. T. Cinar
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 45, No. 3, pp. 457-478, May-June, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kosker, R., Cinar, N.T. Stress distribution in an infinite elastic body containing two neighboring locally curved fibers. Mech Compos Mater 45, 315–330 (2009). https://doi.org/10.1007/s11029-009-9079-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-009-9079-4

Keywords

Search

Navigation