FAILURE CRITERIA OF FIBRE REINFORCED COMPOSITES IN HOMOGENOUS TEMPERATURE FIELD

Abstract

The present paper examines the failure criteria of layered composites with orthotropic properties in the homogenous temperature field. The composite has modeled by two mechanically equivalent families of fibres. The paper formulates constitutive equations in terms of intrinsic "preferred" directions, which are defined by the orientation of fibers at any point of the composite. A uniformly heated, thermoelastic solid undergoes distortion as well as volume change because it experiences differential expansions in different directions. This effect is more complicated if, in addition of being anisotropic, the material is inhomogeneous, as in the case with laminated materials. In order to illustrate the influence of temperature on the failure of this group of materials constitutive equations are derived and adopted for use in failure criteria, without the influence of temperatures, and with the influence of increased temperature.

Keywords

Dates

  • Submission Date2010-06-10
  • Revision Date2010-06-27
  • Acceptance Date2010-07-06

DOI Reference

10.2298/TSCI100610028M

References

  1. Rogers, T.G., Rheological Characterization of Anisotropic Materials, Composites, 20, Volume 20, Issue 1, January 1989, pp. 21-27.
  2. Milosavljević, D. I., Mechanical Behaviour of Plate Reinforced by Two Families of strong Fibres, in: Brittle Matrix Composites 4, ed. by A.M. Brandt, I.H. Marshall and V.C. Li, Woodhead Publishing Ltd., Cambridge, 1994. pp. 651-660.
  3. A.J.M. Spencer, Constitutive theory for Strongly anisotropic Solids, in: Continuum Theory of the mechanics of Fibre Reinforced Composites, ed. by A.J.M. Spencer, Springer-Verlag, Wien - New York, 1984, pp.1-32.
  4. A.J.M. Spencer, The formulation of Constitutive Equation for Anisotropic Solids, in Mechanical Behavior of Anisotropic Solids, ed. by J.P. Boehler, Martin Nijhoff Pub., 1982, pp. 3-26.
  5. Tsai, S. W. and Wu, E. M., A General Theory of Strength for Anisotropic Materials, J. Comp. Mater. 5, 1971, pp. 58-80.
  6. Hinton, M. J., Kaddour, A. S., and Soden, P. D., A Comparison of the Predictive Capabilities of Current Failure Theories for Composite Laminates, Judged Against Experimental Evidence, Composites Sci. and Technology, 62, 2002, pp. 1725-1797.
  7. Milosavljević, D. I., at al., Orthotropic Composite Modeled with two Families of Fibres, Proceedings of TEIK 2010, ISBN 978-86-80295-86-2, Book 2, Niš, 2010, p.p. A-235, A-242.
  8. Thurston, R.N., Waves in solids, in: Encyclopedia of Physics Vol. VIa/4, ed by C. Truesdell, Springer Verlag, 1974.
  9. Spencer, A.J.M., Theory of invariants, in: Continuum Physics Vol. I, Academic Press, 1971.
Volume 14, Issue 11, Pages285 -297