Skip to main content
SpringerLink
Log in

Composite materials reinforced with a system of three straight, mutually orthogonal fibers

I. Calculation of the elastic characteristics

  • Published:
Polymer Mechanics Aims and scope

Abstract

An extension of existing methods of calculating fibrous composites to the case of reinforcement in three mutually perpendicular directions is presented. The basic approach involves the introduction of a "modified" matrix, the properties of which are determined in terms of the elastic moduli of the binder and the reinforcement coefficient in one of the three directions. Approximate expressions are obtained for the elastic characteristics of materials with a high-modulus reinforcing phase. There is a considerable increase in the transverse modulus by comparison with the shear modulus, even for a low reinforcement coefficient in the third direction.

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

Literature cited

  1. Yu. M. Tarnopol'skii, Mekhan. Polim., No. 3, 541 (1972).

  2. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Resistance of Rigid Polymer Materials [in Russian], Riga (1972).

  3. V. V. Bolotin, in: Strength Calculations, Vol. 12 [in Russian], Moscow (1966), p. 3.

  4. A. M. Skudra, F. Ya. Bulavs, and K. A. Rotsens, Creep and Static Fatigue of Reinforced Plastics [in Russian], Riga (1971).

  5. G. A. Van Fo Fy, Constructions Made from Reinforced Plastics [in Russian], Kiev (1971).

  6. D. S. Abolin'sh, Mekhan. Polim., No. 3, 372 (1966).

  7. Z. Hashin and B. Rosen, Prikl. Mekhan., Ser. E (USA), No. 2, 71 (1964).

  8. I. Halpin, K. Ierine, I. Whitney, J. Comp. Mater.,5, Jan., 36 (1971).

    Google Scholar 

Download references

Authors
  1. Yu. M. Tarnopol'skii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Polyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. G. Zhigun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 5, pp. 853–860, September–October, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tarnopol'skii, Y.M., Polyakov, V.A. & Zhigun, I.G. Composite materials reinforced with a system of three straight, mutually orthogonal fibers. Polymer Mechanics 9, 754–759 (1973). https://doi.org/10.1007/BF00856271

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00856271

Keywords

Search

Navigation