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Dr. Mohammed A. Dokainish

Professor Emeritus (Deceased)

Department of Mechanical Engineering

Finite Element Analysis; Fluid Dynamics
JHE-310 (Mail to JHE-310)
+1 905.525.9140 x 24990


Specific Research Activities

My current research interests are primarily in the area of the Finite Element Method, both in development and application. The research deals with practical problems that are nonlinear in nature. Both geometric and material nonlinearities are being considered. Current problems being investigated include: pipe whip accident in a nuclear plant, crack propagation, contact between moving surfaces and impact of projectiles on fiber composite plates. The work on fibre composite plates includes the development and testing of new elements to allow the modelling of energy absorption and deflection characteristics.

Research activities over the past few years resulted in the development of a general purpose nonlinear finite element program: Incremental Nonlinear Dynamic Analysis Program, INDAP. INDAP is structured in a modular form for flexible, accurate and economical solutions of nonlinear problems. Its capabilities include: material non linearities, such as elastic plastic and creep characteristics; geometric non linearities due to large strains and displacements; 3 D contact algorithm for colliding bodies; dynamic response due to impact with consideration of structural discontinuities.

Using Finite Element Modelling, road vehicle dynamics are studied. The objective of this aspect of my research is to provide a better understanding of the basic physical mechanics underlying the ride quality of articulated vehicles and the human body including their parameters with realistic input representing road undulations.


B.Sc. (Cairo); M.A.Sc., University of Toronto; Ph.D., University of Toronto



  • W.R.C. Underhill, M.A. Dokainish & G.AE. Oravas (1997), "A Method for Contact Problems Using Virtual Elements", Journal of computer Methods for Applied Mechanics and Engineering, vol. 143, Issues 3 & 4, pp. 229-247.
  • W.R.C. Underhill, M.A. Dokainish & G.AE. Oravas (1996), "Large displacement Lagrangian mechanics, Part I-Theory", International Journal of Structural Engineering and Mechanics, Vol. 4, No. 1 pp. 73-89.
  • W.R.C. Underhill, M.A. Dokainish & G.AE. Oravas (1996) "Large displacement Lagrangian mechanics, Part II - Equilibrium principles", International Journal of Structural Engineering and Mechanics, Vol. 4, No. 1 pp. 91-107.
  • H.A. Elkaranshawy and M.A. Dokainish (1995), "Corotational Finite Element Analysis of Planar Flexible Multibody Systems", Computers and Structures, Vol. 54, No. 5, pp 881-890.
  • B. Hu, M.A. Dokainish and W.N. Mansour (1995), "A Modified MSE Method for Viscoelastic System: A Weighted Stiffness Matrix Approach", the Journal of Vibration and Acoustics, ASME Transcations, Vol. 117, April 1995, pp. 226-231.
  • B. Hu, M.A. Dokainish and W.N. Mansour (1995), "Prediction of Natural Modes of Laminated Composite Plates by a Finite Element Technique", Journal of Sound and Vibration, Vol. 181, No. 5., pp. 839-850.
  • I. Vesely, s. Krucinski, M. Dokainish & G. Campbell (1994), "an Optimal Mounting Frame for Brioprosthetic Heart Valves to Reduce Flexural Stresses", The Journal of American Society of Artificial Internal Organs, Vol. 40, No. 2, pp. 199-205.


B.Sc. (Cairo); 
M.A.Sc., University of Toronto; 
Ph.D., University of Toronto


September 1, 2019

Research Interests