Christian Constanda

Christian Constanda

The Charles W. Oliphant Endowed Chair in Mathematical SciencesKeplinger Hall U329
(918) 631-3068
christian-constanda@utulsa.eduConstanda personal web site

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), Mathematics, University of Strathclyde, Glasgow, United Kingdom (1997)
  • Ph.D., Mathematics, Romanian Academy of Sciences (1972)
  • M.S., 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)

Professional Affiliations

Courses Taught at TU

  • Advanced Differential Equations (MATH 5103)
  • Applied Functional Analysis (MATH 5283)
  • Differential Equations (MATH 3073)
  • Introduction to Partial Differential Equations (MATH 4143)

Awards & Recognition

  • Chairman of the International Consortium on Integral Methods in Science and Engineering
  • Emeritus Professor, University of Strathclyde, Glasgow, United Kingdom.
  • Outstanding Academic Text award from the American Library Association for my textbook “Solution Techniques for Elementary Partial Differential Equations”.

Publications

  • A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation,
    Longman/Wiley, Harlow-New York, 1990.
  • Boundary integral equations in time-dependent bending of thermoelastic plates,
    Journal of Mathematical Analysis and Applications, vol. 339 (2008), pp. 1024-1043 (with I. Chudinovich).
  • Direct and Indirect Boundary Integral Equation Methods,
    Chapman & Hall/CRC, Boca Raton-London-New York-Washington, DC, 1999.
  • Freedericksz transitions in circular toroidal layers of Smectic C liquid crystal,
    IMA Journal of Applied Mathematics, vol. 66 (2001), pp. 387-409 (with J.E. Kidd and I.W. Stewart).
  • Integration of an equilibrium system in an enhanced theory of bending of elastic plates,
    Journal of Elasticity, vol. 81 (2005), pp. 63-74 (with R. Mitric).
  • Iterative solution of a singular convection-diffusion perturbation problem,
    Journal of Applied Mathematics and Physics, vol. 56 (2005), pp. 890-907 (with S. Pomeranz and G. Lewis).
  • Nonclassical dual methods in equilibrium problems for thin elastic plates,
    Quarterly Journal of Mechanics and Applied Mathematics, vol. 59 (2006), pp. 125-137 (with I. Chudinovich, D. Doty, and A. Koshchii).
  • On integral solutions of the equations of thin plates,
    Proceedings of the Royal Society of London, vol. 444 (1994), pp. 317-323.
  • On the Cauchy problem for thermoelastic plates,
    Mathematical Methods in the Applied Sciences, vol. 29 (2006), pp. 625-636 (with I. Chudinovich and J. Colin Venegas).
  • Radiation conditions and uniqueness for stationary oscillations in elastic plates,
    Proceedings of the American Mathematical Society, vol. 126 (1998), pp. 827-834.