| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | May 19, 2006 |
| Latest Amendment Date: | May 9, 2008 |
| Award Number: | 0604600 |
| Award Instrument: | Continuing Grant |
| Program Manager: |
Michael Steuerwalt
DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | June 1, 2006 |
| End Date: | May 31, 2009 (Estimated) |
| Total Intended Award Amount: | $116,480.00 |
| Total Awarded Amount to Date: | $116,480.00 |
| Funds Obligated to Date: |
FY 2008 = $37,129.00 |
| History of Investigator: |
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| Recipient Sponsored Research Office: |
201 OLD MAIN UNIVERSITY PARK PA US 16802-1503 (814)865-1372 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
201 OLD MAIN UNIVERSITY PARK PA US 16802-1503 |
| Primary Place of
Performance Congressional District: |
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| Unique Entity Identifier (UEI): |
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| Parent UEI: |
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| NSF Program(s): |
APPLIED MATHEMATICS, COFFES |
| Primary Program Source: |
01000809DB NSF RESEARCH & RELATED ACTIVIT |
| Program Reference Code(s): |
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| Program Element Code(s): |
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| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
Novikov
DMS-0604600
The investigator studies thermal, elastic and other
effective properties of high-contrast two-phase particulate
composites where concentration of inclusions in the matrix is
high. He uses their fundamental property: the dominant
contribution to the rate of thermal dissipation, elastic energy
and other bulk properties comes from the areas between closely
spaced particles. This allows to develop Discrete Network
Approximations to effective properties of a composite. The main
goal of the project is to develop rigorous mathematical
foundations for these approximations. The investigator studies
the concept of a Perforated Composite as the key step in his
analysis. This concept allows to develop the discrete network
method into an effective and attractive tool for analysis and
applications. He applies this concept to determine effective
elastic properties of particulate composites, conductivity of
strongly nonlinear composites, and rate of viscous dissipation in
highly concentrated suspensions.
The investigator studies a class of heterogeneous media such
as ocean flows, oil-bearing sands, particle-reinforced and
fiber-reinforced composites, mud and blood among others. These
media are ubiquitous and characterization of their properties is
paramount for development of new technologies and materials.
Experimental studies of many such media are impossible or
prohibitively expensive. Computational studies of such media
often are beyond our current capabilities. The investigator
characterizes analytically these media as networks, which allows
developing reliable and effective reduced models amenable to
further analysis and numerical simulations. Such models help to
assess thermal and elastic properties of ceramics/polymer
composites, augmented transport of plasma proteins in blood, and
the spreading of pollutants in ocean.
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