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Contact Information:
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Joined MME in 1978
Ph.D. in Aerospace Engineering from University of Arizona in 1973
Research Interests:
- Nonlinear and optimal control systems
- Control of chaotic systems
- Differential games and game theory
- Optimal systems design
- Modeling, simulation, and control applications
Recent Publications:
- McDonald, D. B., Grantham, W. J., Tabor, W. L. and Murphy, M. J., "Global and Local Optimization Using Radial Basis Function Response Surface Models," Applied Mathematical Modelling, Vol. 31, No. 10, Oct. 2007, pp. 2095-2110.
- Grantham, W. J., "Gradient Transformation Trajectory Following Algorithms for Determining Stationary Min-Max Saddle Points," in Advances in Dynamic Game Theory, Jørgensen, S. J., Quincampoix, M., and Vincent, T. L., eds., Birkhaüser, Boston, 2007, pp. 639-657.
- McDonald, D. B. and Grantham, W. J., "Singular Perturbation Trajectory Following Algorithms for Min-Max Differential Games," in Advances in Dynamic Game Theory, Jørgensen, S. J., Quincampoix, M., and Vincent, T. L., eds., Birkhaüser, Boston, 2007, pp. 659-678. (Best Paper, 11th Int'l. Symposium on Dynamic Games and Applications, Tucson, AZ, December, 2004).
- Grantham, W. J., "Trajectory Following Optimization by Gradient Transformation Differential Equations," Proc. 42nd I.E.E.E. Conf. on Decision and Control, Maui, HI, December 9 - 12, 2003, pp. 5496 - 5501.
- Vincent, T. L. and Grantham, W. J., "Trajectory Following Methods in Control System Design," J. of Global Optimization, Vol. 23, No. 3 - 4, August, 2002, pp. 267-282.
Links:
Investigating Deformation and Failure Mechanisms in Nanoscale Multilayer Metallic Composites
Objectives: Uncover fatigue damage suppression and ultimate failure mechanisms of NMM composites. Develop a novel fatigue experiment for NMM composites. Establish guidelines for designing NMM with optimum properties.
Uniqueness and Innovation: Design a trimetallic NMM composite (Cu/Ni/Nb) which might possess more superior properties than the two types of bimetallic systems(Cu/Ni & Cu/Nb). This might be achieved by building a new system that combines the two bimetallic systems with their respective interface strengthening mechanisms and properties.
Principal Investigators: H. M. Zbib, D.F. Bahr, S. Medyanik, and F. Akasheh
Partners: Los Alamos National Laboratory
Funding Agency: Department of Energy, Office of Basic Energy
