Design of inhomogeneous materials with given structural properties

I. S. Molchanov; S. N. Chiu; S. A. Zuyev

doi:10.1103/PhysRevE.62.4544

Design of inhomogeneous materials with given structural properties

I. S. Molchanov^*, S. N. Chiu, S. A. Zuyev

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

5 Citations (Scopus)

4 Downloads (Pure)

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.

Original language	English
Pages (from-to)	4544-4552
Number of pages	9
Journal	Physical Review E
Volume	62
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.62.4544
Publication status	Published - 2000

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.62.4544

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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.",

author = "Molchanov, {I. S.} and Chiu, {S. N.} and Zuyev, {S. A.}",

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

year = "2000",

doi = "10.1103/PhysRevE.62.4544",

language = "English",

volume = "62",

pages = "4544--4552",

journal = "Physical Review E",

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publisher = "American Physical Society",

number = "4",

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T1 - Design of inhomogeneous materials with given structural properties

AU - Molchanov, I. S.

AU - Chiu, S. N.

AU - Zuyev, S. A.

N1 - The first two authors were supported by the UK/Hong Kong Joint Research Scheme.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.62.4544

DO - 10.1103/PhysRevE.62.4544

M3 - Journal article

AN - SCOPUS:0034293769

SN - 2470-0045

VL - 62

SP - 4544

EP - 4552

JO - Physical Review E

JF - Physical Review E

IS - 4

ER -

Design of inhomogeneous materials with given structural properties

Abstract

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