Mj. Pan et al., INFLUENCE OF INTERFACIAL MICROCRACKS ON THE ELASTIC PROPERTIES OF COMPOSITES, Journal of Materials Science, 31(12), 1996, pp. 3179-3184
A model is established to quantify the influence of interfacial microc
racks on the elastic properties of a particulate composite using a com
bination of theoretical and finite element analysis. A unique way to c
onstruct physical models which could accommodate both crack size and c
rack density is proposed. Based on energy principles, the influence of
a dilute concentration of interfacial microcracks is first studied. T
he case of a finite concentration of microcracks is solved subsequentl
y by combining the dilute concentration solutions and the differential
scheme. Both cases agreed well with existing composite theories for t
he limiting condition of complete decohesion. The final model predicts
the effective elastic properties as functions of both crack size and
microcrack density.