We analyze transport properties of fluid/solid and solid/solid composites containing finite arrays of closely spaced rigid inclusions when a host medium is either an elastic matrix or an incompressible fluid. We introduce simple models where the number of the inclusions and the symmetry of a periodicity cell are chosen in such a way so that properties of the composites can be investigated analytically. Despite their simplicity, the models capture the essential physical characteristics of densely packed composites. For various applied loads and shapes of (polydisperse) inclusions we demonstrate the spatial non-uniformity of geometric configurations with either lowest dissipation rate for fluid/solid composites or with maximal stiffness for solid/solid composites. Furthermore, we compare effective transport properties of composite materials containing inclusions with either flat or curved boundaries.
|Original language||English (US)|
|Number of pages||10|
|Journal||High Performance Structures and Materials|
|State||Published - Sep 27 2004|
|Event||First International Conference on Computational Methods in Materials Characterisation, MATERIALS CHARACTERISATION - Santa Fe, NM, United States|
Duration: Nov 5 2003 → Nov 7 2003
All Science Journal Classification (ASJC) codes