Pgj. Bussink et al., SELF-CONSISTENT ANALYSIS OF ELASTIC-WAVE PROPAGATION IN 2-DIMENSIONALMATRIX-INCLUSION COMPOSITES, Journal of the mechanics and physics of solids, 43(10), 1995, pp. 1673-1690
We present an elastodynamic effective-medium model for the calculation
of the effective properties of a two-dimensional composite material c
onsisting of an isotropic sheet with isotropic circular inclusions. Ou
r model is used to calculate the in-plane transversal elastodynamic pr
operties of a three-dimensional material reinforced with infinitely lo
ng cylindrical fibres. We compare these results with those of an analo
gous model for the transverse properties of a three-dimensional system
with aligned spheroidal inclusions of finite length. The two sets of
results are qualitatively similar but differ in quantitative details.