Department of Mathematics
We describe a technique applicable to optimize certain quantities associated with the two-phase structure described by a model of penetrable grains. The solution is given in a form of an intensity surface that controls locations of the grains. Particular examples include maximization of the expected phase 2 volume and design of functionally graded materials with a given density profile.
Source Publication Title
Physical Review E
American Physical Society
©2000 American Physical Society
The first two authors were supported by the UK/Hong Kong Joint Research Scheme.
Link to Publisher's Edition
Molchanov, I. S., S. N. Chiu, and S. A. Zuyev. "Design of inhomogeneous materials with given structural properties." Physical Review E 62.4 (2000): 4544-4552.