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., Chiu, S., & Zuyev, S. (2000). Design of inhomogeneous materials with given structural properties. Physical Review E, 62 (4), 4544-4552. https://doi.org/10.1103/PhysRevE.62.4544