Yc. Gao et J. Lelievre, A THEORETICAL-ANALYSIS OF THE STRENGTH OF COMPOSITE GELS WITH RIGID FILLER PARTICLES, Polymer engineering and science, 34(18), 1994, pp. 1369-1376
The strength, under uniaxial load, of composite gels containing filler
particles has been investigated by calculating the stress concentrati
on in the gel matrix. The particles were assumed to be rigid spheres,
and the interaction between the particles was taken into account based
on a self-consistent model. The bonding between the particles and mat
rix was treated for two typical cases, (1) perfectly bonded, (2) smoot
hly connected. For case 1, the analytical result shows that the stress
concentration factors decrease with the increasing of the volume frac
tion of filler. For case 2, the stress concentration factors are indep
endent of the volume fraction of filler. The structural failure caused
by the stress concentration was analyzed.