Barry Bernstein , Ph.D.Professor Emeritus
- B.S. from City College of New York (Mathematics, 1951)
- M.A. from Indiana University (Mathematical Mechanics, 1954)
- Ph.D. from Indiana University (Mathematical Mechanics, 1956)
Research & Major Accomplishments
Professor Barry Bernstein is interested in the mechanical and thermodynamic behavior of materials. This behavior is important in material processing problems, such as those that occur in the extrusion and molding of polymers. Professor Bernstein is well known for his part in the formulation of a widely used mathematical model for behavior of polymer melts and bulk polymers. This model is known as the BKZ (Bernstein, Kearsley and Zapas) constitutive equations, in which the ideas of finite elastic strain are incorporated into a theory of fluids. The formulation treats the thermodynamics as well as the mechanics of such media.
He has also done computational work on polymeric fluid flows and is in part responsible for a finite element formulation known as flucode. In the past, Professor Bernstein also worked on tracer analysis of blood circulation and of recycle reactors.
Selected PublicationsBilgili, E., Bernstein, B., and Arastoopour, H., "Inhomogeneous Shearing Deformation of a Rubber-like Slab within the Context of Finite Thermoelasticity with Entropic Origin for the Stress," Int. J. Non-Linear Mech., 36: 887-900 (2000).
Bilgili, E., Arastoopour, H., and Bernstein, B., "Pulverization of Rubber Granulates Via Solid State Shear Extrusion (SSSE) Process, Part I: Process, Concept and Characteristics," Powder Technology Journal, 115(3): 265-276 (2001).
Bilgili, E., Arastoopour, H., and Bernstein, B. "Analysis of Rubber Particles Produced by the Solid State Shear Extrusion Pulverization," ACS Rubber Chemistry and Technology Journal, 73(2): 340-355 (2000).
Kompani, M., Venerus, D.C., and Bernstein, B., "Equibiaxial Extensional Flow of Polymer Melts via Lubricated Squeezing Flow," Rheologica Acta, 30: 574-582 (2000).
Bernstein, B. and Nair, S., "The Engineering Science of Structures," ISBN 9701071-0-2, 23-26 (2000).
Bernstein, B., K.A. Feigl, and E.T. Olsen, "A First Order Exactly Incompressible Finite Element for Axisymmetric Flow," SIAM Journal on Numerical Analysis, 33: 55-75 (1998).
Bernstein, B., and J.T. Fong, "A Non-Equilibrium Thermodynamic Theory of Viscoplastic Materials," J. Applied Physics, 74: 2220-2228 (1993).
Bernstein, B., T. Erber and S.A. Guralnick, "Thermodynamics of Plastic Hinges with Damage," Continuum Mechanics and Thermodynamics, 3: 293-303 (1991).
Bernstein, B., "A PC-Based Modeling for Creep, Fatigue and Creep Fatigue Interactions Using a Viscoplasticity Theory," ASME Transactions, Journal of Pressure Vessel Technology, 113: 174-179 (1991).
Bernstein, B., "Drift Function Tracking with Compressibility and Variable Temperature," J. Non-Newtonian Fluid Mech., 20: 299-321 (1986).
Malkus, D.W., B. Bernstein and E.T. Olsen, "A Finite Element for Incompressible Plane Flows of Fluids with Memory," International Journal of Numerical Methods, 5: 43-70 (1985).