Research Topics
- Computational mechanics
- Design optimization
Professor Sharif Rahman's research interests include multiscale mechanics of heterogeneous media, mathematical models of random microstructure, uncertainty quantification of high-dimensional complex systems, random eigenvalue problems, and stochastic mesh-free and finite-element methods.
Research Team
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Sharif Rahman, PhD
Title/Position
Director, Sharif Rahman Research Group
Professor, Department of Mechanical Engineering
Professor, Department of Applied Mathematical and Computational Sciences
Amin Ebadollahi
Title/Position
Graduate Research Assistant
Katherine Morris
Title/Position
Graduate Research Assistant
Projects
Current research projects:
- Novel Computational Methods for Design under Uncertainty with Arbitrary Dependent Probability Distributions
- CDS&E: Stochastic Isogeometric Analysis by Hierarchical B-Spline Sparse Grids
- High-Dimensional Stochastic Design Optimization by Spline Dimensional Decomposition
- Reliability Analysis and Design Optimization of Fatigue Life of Vehicle Components
- Predictive and Analytical Methods for Rapidly Assessing the Reliability of Commercial Off-the-Shelf Parts and Emerging Technologies
Research summaries:
- Stochastic Optimization for Design under Uncertainty with Dependent Probability Measures
- A New Decomposition Method for Solving Stochastic Eigenvalue Problems in Computational Dynamics
- Reliability-Based Design Optimization of Large-Scale Complex Systems
- Novel Computational Methods for Solving Random Eigenvalue Problems
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