Research Interests: Elasticity, Continuum Mechanics, Mathematical Modelling, Structural Optimization, Calculus of Variation, Numerical Optimization, Optimal Control, Numerical Techniques for PDE and ODE.

Selected Publications

• 1.   Abdella K., Yu X. and Kucuk, I., Application of the Sinc Method to Dynamic  Elasto-plastic Problem Journal of Computational and AppliedMathematics. (Accepted for publication, 2008)
  
• 2.    Kucuk, I., Optimality conditions for the control of a double membrane complex system by a modal decomposition Applied Mathematical Modelling (32), Issue 4, (April 2008) pg:562-574.
  
• 3.    Kucuk, I., and Sadek I., Active Vibration Control of an Elastically Connected Double-String Continuous System Journal of the Franklin Institute (344), Issue 5, (August 2007)  pg:684-698.
  
• 4.    Kucuk, I., and Sadek I., Optimal Control of an Elastically Connected Rectangular Double-Plate System. Dynamics of Continuous, Discrete, and Impulsive Systems Series B: Applications and Algorithms, (14), Number 3, (2007), pg: 335-354.
  
• 5.    Kucuk, I., Sadek I. An Efficient Computational Method for Optimal Control Problem of the Burgers' Equation. Mathematical and Computer Modelling (44), Issues 11-12, (December 2006) pg:973-982.
  
• 6.    Cherkaev A., and Kucuk, I., Detecting stress fields in an Optimal Structure I:  Two-dimensional Case and Analyzer. Structural and Multidisciplinary Optimization, (26), Issues 1-2, (January 2004), pg:1-15.