particles. Under these assumptions, the bulk properties of a single composite are identical
to the bulk properties of the complete composite spheres. Figure 2.1 is the classical
micromechanics composite sphere model.
Figure 2.1 The Composite Spheres Model (3)
The equations for the composite spheres model are given as:
K* +(KP + K)(4G,,, + 3K)c
4G,, +3K, +3(K, K,)c
G*u = GI(1+ c(7 -1)yl-))
Gm
Km, Gm = Bulk and shear moduli of the matrix
Kp, Gp = Bulk modulus of the particles (or inclusions)
c = Volume concentration of inclusions = (a/b)3
where
(2.12)
(2.13)
(2.14)
(2.15)
G;
I + c(I 17)yi ((T