Complementary elastic energy density is used to derive a stress-strain relation, which is linear in uniaxial loadings in the longitudinal and trans verse directions, but nonlinear in shear. In the case of composite laminae under plane stress, one additional fourth-order constant is introduced. Comparison is shown between the present theory and experimental data on off-axis tests.
Get full access to this article
View all access options for this article.
References
1.
M.E. Waddoups, "Characterization and Design of Composite Materials," Composite Materials Workshop, S. W. Tsai, J. C. Halpin, and N. J. Pagano , Eds., Technomic (1968), p. 254.
2.
R.B. Pipes and B.W. Cole, private communication.
3.
A.E. Green and J.E. Adkins, Large Elastic Deformations and Non-Linear Continuum Mechanics, Oxford Univ. Press, London (1960 ).
4.
T. Bateman, W.P. Mason and H.J. McSkimin, "Third-Order Elastic Moduli of Germanium," J. Appl. Phys., Vol. 32 (1961), p. 928.
5.
P.H. Petit and M.E. Waddoups, "A Method of Predicting the Nonlinear Behavior of Laminated Composites ," J. Comp. Mat., Vol. 3 (1969), p. 2.
6.
S.W. Tsai and N.J. Pagano, "Invariant Properties of Composite Materials," Composite Materials Workshop, S. W. Tsai, J. C. Halpm, and N. J. Pagano , Eds., Technomic (1968), p. 233.
7.
N.J. Pagano and J.C. Halpin, "Influence of End Constraint in the Testing of Anisotropic Bodies," J. Comp. Mat., Vol. 2 (1968), p. 18.
