Tuesday, 12 October 2004 - 2:40 PM

This presentation is part of : Torquato Symposium

Co-operative geometric indicators of materials performance

Phillip M. Duxbury1, Erin McGarrity, and Elizabeth A. Holm2. (1) Michigan State University, East Lansing, MI 48824, (2) Sandia National Laboratories, Albuquerque, NM 87185

We make a graph representation of the microstructure of a complex material and then use network algorithms to identify co-operative geometric structures in these graphs. One well known co-operative geometric structure is the percolating backbone. We discuss two other structures which are of broader significance: The critical manifold and the optimal path. The definition and significance of these structures will be discussed. Results will be presented for the following problems: the grain boundary engineering of structural materials; the critical current of polycrystalline high temperature superconductors and; the onset voltage of polycrystalline varistors.

Back to Torquato Symposium
Back to SES Abstracts

Back to The 41st Annual SES Technical Meeting