Skip to main content
SpringerLink
Log in

Analysis of the decay of edge effects in laminated materials on the basis of a representative element

  • Published:
International Applied Mechanics Aims and scope

Abstract

A model and design model for representative-element analysis of the decay of the Saint-Venant edge effects in laminated materials are proposed. The decay of the edge effect in a matrix with laminated covering (a composite material of irregular structure) is considered for the case of symmetric deformation. The source of the edge effect is simulated by a piecewise-constant surface periodic load normal to the layers. This load is local for the working domain and is varied within a boundary section that is commensurable with the characteristic size of the heterogeneity of the material structure. The equations of the linear theory of elasticity, a model of a piecewise-homogeneous medium, and quantitative criteria for identification of edge effects are used. A discrete model of the problem and its solution are constructed within the concept of basic schemes. Data on the zone of the edge effect and the character of its decay for a representative element of the material are analyzed.

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. V. M. Bystrov, Yu. V. Kokhanenko, and V. S. Zelenskii, “Numerical study of the decay of the edge effects in laminated metal materials,”Prikl. Mekh.,33, No. 12, 50–59 (1997).

    MATH  Google Scholar 

  2. V. M. Bystrov, Yu. V. Kokhanenko, and V. V. Yasinskii, “A problem-oriented programming environment and development of discrete models for some classes of problems of the mechanics of deformable solids,”Probl. Program., No. 4, 102–108 (1998).

    Google Scholar 

  3. A. N. Guz', Yu. V. Kokhanenko, and V. M. Bystrov, “Numerical study of the edge effect in laminated composites,”Mekh. Komp. Mater., No. 2, 216–220 (1986).

    Google Scholar 

  4. K. G. Kreider (ed.),Metallic Matrix Composites, Vol. 4 of the eight-volume seriesComposite Materials [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  5. V. T. Golovchan, A. N. Guz', Yu. V. Kokhanenko, and V. I. Kushch,Statics of Materials, Vol. 1 of the 12-volume seriesThe Mechanics of Composites [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  6. G. Lubin (ed.),Handbook of Composites [Russian translation], Book 2, Mashinostroenie, Moscow (1988).

    Google Scholar 

  7. L. Carlson, P. Sindelar, and S. Nilsson, “Decay of end effect in graphite/epoxy bolted joints,”Comp. Sci. Tech.,26, No. 4, 307–321 (1986).

    Article  Google Scholar 

  8. C. O. Horgan, “Saint-Venant end effects in composites,”J. Comp. Mater.,16, No. 5, 411–422 (1982).

    Article  Google Scholar 

Download references

Authors
  1. V. M. Bystrov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 6, pp. 135–144, June, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bystrov, V.M. Analysis of the decay of edge effects in laminated materials on the basis of a representative element. Int Appl Mech 36, 826–834 (2000). https://doi.org/10.1007/BF02681991

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02681991

Keywords

Search

Navigation