Engineers have proposed certain refined models to describe more accurately the phenomenon of bending of thin elastic plates, but have not investigated them in any great detail because of the mathematical difficulties involved. My aim has been to identify these difficulties in the case of plates with transverse shear deformation and devise appropriate methods for resolving them under conditions of direct physical significance. This activity has led to the construction of both general theoretical formulas for the solution and to numerical algorithms that permit the computer implementation of the method. The work has covered a whole series of mathematical problems of considerable generality in a variety of areas, such as fundamental solutions for partial differential operators, mapping properties of singular integral operators, potential theory, complex variable functions, generalized Fourier series in Hilbert space, etc. The results of this ongoing research can be applied to many other problems in continuum mechanics.
Education and Degrees Earned
- D.Sc. (Higher Doctorate) in Mathematics, University of Strathclyde, Glasgow, United Kingdom, 1997
- Ph.D. in Mathematics, Romanian Academy of Sciences, 1972
- M.S. in Mathematics and Mechanics, University of Iasi, Romania, 1966
Areas of Research Focus
- Analysis of mathematical models in elasticity theory
- Boundary integral equation methods
Previous Teaching Experience
- Professor of Mathematics, University of Strathclyde, Glasgow, United Kingdom (1976-2001).
Previous Relevant Work Experience
- Researcher, Romanian Academy of Sciences (1967 – 1973).
- London Mathematical Society.
- Edinburgh Mathematical Society.