A key component to the success of many modem structural designs is the use
of materials with microscopically tailored overall properties. One method t
o obtain desired macroscopic material behavior is by adding microscopic sec
ond phase particles to a base material. The macroscopic behavior of the mod
ified base material is the aggregate response of the particles suspended in
the matrix binder. In this regard, a relatively standard manufacturing pro
cess is the vortex method, whereby loose particulate additives are stirred
into a vortex of molten matrix material. In this work a computational strat
egy is developed to simulate and accelerate the associated trial and error
development of tailored dispersed-type materials manufactured with the vort
ex method. An algorithm is developed to determine optimal geometrical and m
echanical properties of microscopic particulate additives in order to modif
y a homogeneous base matrix sufficiently enough to deliver a prespecified a
ggregate response. Consistent with what can be manufactured by the vortex m
ethod, microstructures composed of randomly distributed aggregates of parti
cles suspended in a binding matrix are considered. A variety of theoretical
issues involved in this process are discussed, and three-dimensional examp
les involving the finite element method are presented. (C) 2001 Elsevier Sc
ience B.V. All rights reserved.