Professor
Mechanical
and Aerospace Engineering |
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| Research Group Web Page:
| Materials
Process Design and Control Laboratory
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| Address: |
101
Frank H. T. Rhodes Hall
Cornell
University
Ithaca, NY 14853-3801 |
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Phone:
Fax:
E-mail:
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(607)
255-9104
(607)
255-1222
zabaras@cornell.edu
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Professor Zabaras' research group
performs applied and basic research in the interface of computational
mathematics and materials. His main research focus is on
multiscale modeling of materials (from ab initio to continuum)
and multiscale design of materials processes for control of
microstructure-sensitive properties. Emphasis of
recent work is in quantifying and controlling
uncertainty propagation in materials across scales.
For achieving these objectives, his laboratory is developing
a variety of mathematical and statistical computational tools
that include multiscale
and multiphysics materials simulators, homogenization
techniques, machine learning techniques for exploring
large multiscale material databases, level set and phase field
methods, techniques for modeling stochastic PDEs in high-dimensions,
Bayesian inference approaches and non-linear model reduction algorithms.
Professor N. Zabaras is the director of the Materials Process Design
and Control Laboratory and detailed information on current
research interests and list of publications and other activities can
be found at the MPDCL web site.
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| Current Projects |
- Uncertainty management in Materials Process Modeling and
Design
- Materials-by-design: From atoms to continuum
- First principles calculations for the design of materials with extremal properties
- An information-theoretic approach to multiscale modeling in
materials
- Statistical learning and knowledge discovery in materials
- Multiscale models of microstructure evolution using level set and phase field methods
- Transport phenomena in random heterogeneous media
- Data-driven non-linear model reduction techniques for stochastic PDEs: Manifold learning methods
- Solution and optimization of stochastic PDE systems in high-dimensions
- Inverse problems: Bayesian methods for multiscale estimation
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| Selected Publications |
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V. Sundararaghavan and N. Zabaras
"
Many-body expansions for computing stable structures of multi-atom systems,"
Physical Review B , 77(6) 064101:1-10, 2008. |
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B. Ganapathysubramanian and N. Zabaras
"
A non-linear dimension reduction methodology for generating data-driven stochastic input models," Journal of Computational Physics ,
227
6612-6637, 2008. |
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V.
Sundararaghavan and N. Zabaras
"
A multilength scale continuum sensitivity analysis for the control of texture-dependent properties in deformation processing,"
International Journal of Plasticity, 24 1581-1605, 2008. |
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N. Zabaras and B. Ganapathysubramanian
"
A scalable framework for the solution of stochastic inverse problems using
a sparse grid collocation approach," Journal of Computational Physics, 227 4697-4735, 2008. |
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X. Ma and N. Zabaras
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A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media,"
Journal of Computational Physics,
227 8448-8471, 2008. |
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L. Tan and N. Zabaras
"
Multiscale modeling of alloy solidification using a database approach," Journal
of Computational Physics, 227 728-754, 2007. |
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L. Tan and N. Zabaras
" Modeling the growth and interaction of multiple dendrites in solidification using a level set method,"
Journal of Computational Physics, 226 131-155, 2007. |
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B. Ganapathysubramanian and N. Zabaras
"
Sparse grid collocation methods for stochastic natural convection problems," Journal of
Computational Physics, 225 652-685, 2007. |
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S.
Sankaran and N. Zabaras
"
Computing property variability of polycrystals induced by grain size and orientation uncertainties,"
Acta Materialia, 55(7) 2279-2290, 2007. |
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V.
Sundararaghavan and N. Zabaras
"
Linear analysis of texture-property relationships using process-based representations of Rodrigues space," Acta Materialia,
55(5) 1573-1587, 2007. | |
| Biography |
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After
completing doctoral work in Theoretical and Applied Mechanics,
Professor Zabaras joined the faculty of the Mechanical Engineering
Department at the University of Minnesota, Minneapolis, MN. He
became a Cornell faculty member in 1991. Zabaras is a Fellow of the
American Society of Mechanical Engineers, and member of the American
Physical Society, the American Academy of
Mechanics, the Society for Industrial and Applied Mathematics and
the Minerals, Metals & Materials Society.
He received a Presidential Young Investigator Award from the
National Science Foundation in 1991. |
| Education |
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