Mechanics of Composite Materials

, Volume 33, Issue 6, pp 505–516 | Cite as

Elastic constants of monotropic plastic foams. 1. Deformation parallel to foam rise direction. A mathematical model

  • I. Beverte
Article

Abstract

A mathematical model of the deformative properties and structure of lightweight, monotropic (or isotropic in the limiting case) plastic foams with a pronounced strut-like structure has been elaborated in the linear theory of deformation. A selection of five independent elastic constants is described. For the integral characterization of the deformative properties of plastic foams as micrononhomogeneous composite materials, the elastic constants are introduced as the effective constants. In order to describe the plastic foam structure, a local model consisting of two parts is proposed, i.e., a model of a continuous medium for the calculation of stresses and a local structure model. Considering deformation parallel to the foam rise direction when the semiaxes hypothesis is assumed, the Young modulus and Poisson's ratio are determined.

Keywords

Mathematical Model Foam Composite Material Elastic Constant Local Structure 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Renz, Zum zugigen und zyklischen Verformungs — Verhalten Polymerer Hartschaumstoffe, Dissertation zur Erlangung des akad. Grades eines Doktor-Ingenieurs, Karlsruhe (1977).Google Scholar
  2. 2.
    N. C. Hilyard (ed.), Mechanics of Cellular Plastics, Macmillan, New York (1982).Google Scholar
  3. 3.
    S. Baxter and T. T. Jones, “The physical properties of foamed plastics and their dependence on structure,” Plast. Polym., 69–76 (April 1972).Google Scholar
  4. 4.
    J. M. Lederman, “The prediction of the tensile properties of flexible foams,” J. Appl. Polym. Sci., 15, No. 3, 693–703 (1971).Google Scholar
  5. 5.
    A. N. Gent and A. G. Thomas, “The deformation of foamed elastic materials,” J. Appl. Polym. Sci., 1, No. 1, 107–113 (1959).Google Scholar
  6. 6.
    S. V. Kanakkanatt, “Mechanical anisotropy of open-cell foams,” J. Cell. Plast., 50–53 (January/February 1973).Google Scholar
  7. 7.
    V. P. Valuiskikh, S. A. Mavrina, and V. Yu. Prokof'ev, “Simulation models of structural foam plastics of open polyhedral structure,” Mech. Compos. Mater.,23, No. 5, 562–566 (1987).Google Scholar
  8. 8.
    V. P. Valuiskikh and Yu. L. Esipov, “Study of tne physicomechanical characteristics of rigid foam polyurethanes,” Mech. Compos. Mater.,25, No. 3, 298–301 (1989).Google Scholar
  9. 9.
    A. N. Gent and A. G. Thomas, “Mechanics of foamed elastic materials,” Rubber Chem. Techn.,36, No. 3, 597–610 (1959).Google Scholar
  10. 10.
    A. Cunningham, “Modulus anisotropy of low-density cellular plastics: an aggregate model,” Polymer,22, 882–885 (July 1981).Google Scholar
  11. 11.
    A. F. Zilauts and A. Zh. Lagzdin, “Single-bar model of cellular materials subjected to large elastic deformations,” Mech. Compos. Mater.,28, No. 1, 1–7 (1992).Google Scholar
  12. 12.
    I. V. Beverte and A. F. Kregers, “Young's modulus of monotropic foam plastics subjected to deformation parallel to rise direction,” Mech. Compos. Mater.,29, No. 1, 13–20 (1993).Google Scholar
  13. 13.
    A. Zh. Lagzdin'sh and V. P. Tamuzh, “Higher-order elasticity tensors,” Polym. Mech.,1, No. 6, 24–28 (1965).Google Scholar
  14. 14.
    A. A. Berlin and F. A. Shutov, Chemistry and Technology of Gas-Filled High Polymers [in Russian], Moscow (1980).Google Scholar
  15. 15.
    T. D. Shermergor, Elasticity Theory of Micro-Nonhomogeneous Media [in Russian], Moscow (1977).Google Scholar
  16. 16.
    I. V. Beverte, “Poisson's ratios of lightweight transversally isotropic foam plastics subjected to deformation perpendicular to the rise direction,” Mech. Compos. Mater.,27, No. 4, 463–470 (1991).Google Scholar
  17. 17.
    I. V. Beverte and A. F. Kregers, “Stiffness of lightweight open-porosity foam plastics,” Mech. Compos. Mater.,23, No. 1, 27–33 (1987).Google Scholar
  18. 18.
    A. Lagzdinš, V. Tamužs, G. Teters, and A. Krègers, Orientational Averaging in Mechanics of Solids, Longman Publ., London (1992).Google Scholar
  19. 19.
    I. V. Beverte, “Deformative properties of monotropic plastic foams with a pronounced strut-like structure,” Paper presented at the 9th Int. Conf. on Mech. of Compos. Materials, October 17–20, Riga (1995).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • I. Beverte

There are no affiliations available

Personalised recommendations