G. Debotton et Pp. Castaneda, ELASTOPLASTIC CONSTITUTIVE RELATIONS FOR FIBER-REINFORCED SOLIDS, International journal of solids and structures, 30(14), 1993, pp. 1865-1890
Citations number
43
Categorie Soggetti
Construcion & Building Technology","Engineering, Civil
In this paper, we make use of a procedure for estimating the effective
properties of nonlinear composite materials, proposed recently by Pon
te Castaneda (1991, J. Mech. Phys. Solids 39, 45-71), to study the eff
ective constitutive behavior of ductile, fiber-reinforced composites.
Both estimates and rigorous bounds are obtained for the effective ener
gy functions of multiple-phase, fiber composites with general ductile
behaviors (in the context of deformation theory of plasticity) for the
isotropic constituent phases. The resulting expressions for the energ
y functions may be differentiated in a straightforward manner to obtai
n corresponding estimates for the anisotropic effective stress-strain
relations. Explicit calculations are carried out for the case of an al
uminum-matrix composite reinforced with boron fibers. The results reve
al some interesting features distinguishing the constitutive behavior
of ductile-matrix, fiber-reinforced composites from that of linear-ela
stic, fiber-reinforced composites. One such feature is the strong coup
ling between the dilatational and distortional modes for the ductile f
iber composites. Finally, comparisons are made with available experime
ntal data.