M. Kailasam et al., THE EFFECT OF PARTICLE-SIZE, SHAPE, DISTRIBUTION AND THEIR EVOLUTION ON THE CONSTITUTIVE RESPONSE OF NONLINEARLY VISCOUS COMPOSITES .2. EXAMPLES, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 355(1730), 1997, pp. 1853-1872
Part I of this work was concerned with the development of constitutive
models for nonlinearly viscous and perfectly plastic composites, whic
h are capable of accounting for the evolution of microstructure when t
he composites are subjected to finite deformation. This involved the d
erivation of instantaneous constitutive relations for the composites d
epending on appropriate microstructural variables, as well as of evolu
tion equations for these variables. As an application of the general t
heory, in this part of the work, use is made of the models to analyse
the response of porous materials and of two-phase composites with perf
ectly plastic phases under axisymmetric loading conditions (with fixed
axes). Attention is focused on the effect of the evolution of the dis
tribution of the inclusions (or voids) on the overall response of the
composites. It is found that for porous materials, or for more general
classes of composites where the inclusions are softer than the matrix
, the effect of changes in the distribution of the inclusions is not v
ery significant relative to the effect of changes in the size and shap
e of the inclusions. On the other hand, for composites with inclusions
that are sufficiently harder than the matrix, the deformation is conc
entrated in the matrix, and the effect of changes in the distribution
function of the inclusions can become quite significant.