A laminate analogy is developed for predicting the elastic constants and stresses in a unidirectional composite containing continuous fibers with rectangular pack ing geometry. Although fiber cross-sectional shape can be arbitrary, the present model is developed for circular and elliptical fibers. All nine elastic constants and the stress concen tration factors at the fiber/matrix interface are determined. Effect of fiber shape on in plane and bending properties of laminates is then examined using the results of the micro mechanics as input to classical laminated plate theory calculations.
References
1.
Tsai, S.W. and H.T. Hahn.1980. Introduction to Composite Materials . Lancaster, PA: Technomic Publishing Co.
2.
Ekvall, J.C.1961. "Elastic Properties of Orthotropic Monofilament Composites, Structural Behavior of Monofilament Composites," ASME Paper 61-AV-56, ASME Aviation Conference, Los Angeles, CA, March 12-16, 1961.
3.
Chamis, C.C.1974. "Micromechanics Strength Theories," Chapter 3 in Composite Materials, Volume 5, Fracture and Fatigue, L. J. Broutman, ed., NY: Academic Press.
4.
Adams, D.F. and D.R. Doner1967 "Transverse Normal Loading of a Unidirectional Composite ," Journal of Composite Materials, 1(2):152-164.
5.
Adams, D.F. and D.R. Doner.1967. "Longitudinal Shear Loading of a Unidirectional Composite," Journal of Composite Materials, 1(1):4-17.
