Document Type

Journal Article

Department/Unit

Department of Mathematics

Language

English

Abstract

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.

Publication Date

10-2000

Source Publication Title

Physical Review E

Volume

62

Issue

4

Start Page

4544

End Page

4552

Publisher

American Physical Society

Peer Reviewed

1

Copyright

©2000 American Physical Society

Funder

The first two authors were supported by the UK/Hong Kong Joint Research Scheme.

DOI

10.1103/PhysRevE.62.4544

Link to Publisher's Edition

https://dx.doi.org/10.1103/PhysRevE.62.4544

ISSN (print)

24700053

Included in

Mathematics Commons

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