title: Design of inhomogeneous materials with given structural properties
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.
authors.affiliation: Department of Statistics, University of Glasgow, Glasgow G12 8QW, United Kingdom.
authors.initials: IS
authors.lastname: Molchanov
authors.initials: SN
authors.lastname: Chiu
authors.initials: SA
authors.lastname: Zuyev