L. Parietti et al., MINI-CONSTITUTIVE FINITE-ELEMENT MODEL FOR PLASTIC RESPONSE OF UNIDIRECTIONAL FIBER COMPOSITES, Computers & structures, 55(3), 1995, pp. 463-470
A micromechanical finite element model to compute the overall instanta
neous stiffness of fiber-reinforced composites in elastoplastic respon
se is presented. This model is applicable to a periodic diamond array
of elastic circular fibers embedded in an elastic-plastic matrix subje
cted to a plane stress loading. This model enforces symmetry and anti-
symmetry conditions isolating the smallest unit cell and should greatl
y increase the speed of doing ''built-in'' micromechanics within a lar
ger finite element program, because of the small number of degrees of
freedom (12-14 DOF). At this stage of development, effective propertie
s of a composite with a nearly incompressible matrix are presented to
assess the model's plasticity performance. Comparison with a fine grid
finite element solution shows very good results and demonstrates the
effectiveness of the mini-model presented.