It is shown that there is a coordination between the numbers of the elastic properties and the numbers of the failure criteria parameters for aligned fiber composites under certain realistic conditions. These conditions require a high degree of anisotropy appropriate to polymeric matrix composites such that failure decomposes into separate fiber dominated and matrix dominated modes. Failure criteria are given in both five parameter and four parameter forms. The five parameter failure form coordinates with the usual five elastic property form for transversely isotropic composites. The four parameter failure form coordinates with a reduced four elastic property form which is shown to be applicable as an approximation for the same typical fiber composites.

1.
Christensen
R. M.
, and
Zywicz
E.
,
1990
, “
A Three-Dimensional Constitutive Theory for Fiber Composite Laminated Media
,”
ASME Journal of Applied Mechanics
, Vol.
112
, pp.
948
955
.
2.
Christensen
R. M.
,
1997
a, “
Yield Functions/Failure Criteria for Isotropic Materials
,”
Proceedings of the Royal Society
(London), Vol.
453
, pp.
1473
1491
.
3.
Christensen
R. M.
,
1997
b, “
Stress Based Yield/Failure Criteria for Fiber Composites
,”
Int. J. Solids Structures
, Vol.
34
, pp.
529
543
.
4.
Kim, R. Y., Abrams, F., and Knight, M., 1988, “Mechanical Characterization of a Thick Composite Laminate,” Proceedings of the American Society for Composites, 3rd Technical Conference, Sept. 25-29,1988, Seattle, Wash., Technomic Publishing, pp. 711–718.
5.
Nye, J. F., 1957, Physical Properties of Crystals, Oxford University Press, Oxford.
6.
Sun
C. T.
, and
Li
S.
,
1988
, “
Three-Dimensional Effective Elastic Constants for Thick Laminates
,”
J. Comp. Mats.
, Vol.
22
, pp.
629
639
.
7.
Tsai
S. W.
, and
Wu
E. M.
,
1971
, “
A General Theory of Strength for Anisotropic Materials
,”
J. Comp. Mats.
, Vol.
5
, pp.
58
80
.
This content is only available via PDF.
You do not currently have access to this content.