Curriculum Vitae

Barry Bernstein

Professor of Chemical Engineering

and Applied Mathematics

Illinois Institute of Technology

Chicago, Illinois 60616

Home Address: Telephone Numbers:

400 East Ohio, Apt. 2901 Office: 312-567-3166

Chicago, Illinois 60611 Home: 312-642-4878

Fax: 312-567-8874

e-mail: barry@cepse.che.iit.edu

Born November 20, 1930, Brooklyn, New York

Married

Education and Degrees

City College of New York 1948-51 B.S. Mathematics 1951

Indiana University 1952-56 M.A. Mathematics 1954

Ph.D. Math-Mech. 1956

Experience

Naval Researh Laboratory 1951-53 Applied Mathematician

Mechanics Division

Naval Research Laboratory 1956-61 Applied Mathematician

Mechanics Division

National Bureau of Standards 1961-65 Applied Mathematician

Mathematical Physics Section

Purdue University 1965-66 Visiting Associate Professor

School of Aeronautics,

Astronautics and

Engineering Science

Illinois Institute of Technology 1966-1995 Professor of Mathematics

Department of Mathematics

Illinois Institute of Technology 1991-1995 Joint appointment, Dept. of

Chemical Engineering

Illinois Institute of Technology 1995-present Professor of

Chemical Engineering

Department of Chemical

Engineering:

Joint Appointment as

Professor of Applied Math.

Illinois Institute of Technology 1970-75 Acting Director

Center for Applied Mathematics

Illinois Institute of Technology 1983-84 Chairman, Faculty Senate

Sabbatical

Ecole des Hauts Polymères, Université Louis Pasteur, Strasbourg, France -- September 1988 - August 1989

Society

Society of Rheology

Consulting and Summer Jobs

E.I. Dupont de Nemours and Company (Photo Products) 1968-69

National Bureau of Standards 1969-1983

Illinois Institute of Technology Research Institute (Ceramics) 1969

Ballistic Research Laboratory, Summers 1976,77

Visiting Research Fellow, Flinders University, Adelaide, Australia, Summer 1988

Editorial Activities

Member of Editorial Advisory Board of the International Journal of Non-Linear Mechanics

Grants and Contracts

Some Current Mathematical Questions in Continuum Mechanics, funded by the Office of Naval Research from September 1, 1966 to August 31, 1968

Finite Visco-elastic Strain and Dirichlet Problems, funded by the National Science Foundation from June, 1967 to May, 1969

Mathematical Inverstigations on the Mechanics of Continua, funded by the National Science Foundation from January 1, 1970 to December 31, 1971

Mathematical Investigations in the Mechanics of Visco-Elastic Materials, funded by the National Science foundation from February, 1972 to January, 1975

Plasticity and Singular Elastic solutions, funded by the Army Research Office, January, 1977 - October, 1977

Steady Flow of Memory Fluids with Finite Elements, with D. S. Malkus, funded by the National Science Foundation from June 15 1979 to June 14, 1980. Renewed to June 15 1981.

Thermodynamics of Deformable Materials with Microstructure, funded by the National Science Foundation, January 1980 to June 1982.

Steady Flow of Memory Fluids with Finite Elements, with D. S. Malkus, funded by the National Science Foundation, June 1982 to June 1984.

Fracture Mechanics Evaluation of Bonded Structures, with S. Mostovoy, funded by the Naval Air Command, May 1983 to May 1985.

Steady Flow of Memory Fluids with Finite Elements, with D. S. Malkus, funded by the National Science Foundation, June 1983 to June 1985.

Stready Flow of Memory Fluids with Finite Elements, with E. T. Olsen and M. Engelman, funded by the National Science foundation, June 1985 to June 1987.

Transient Flows of Memory fluids, a Finite Element Eulerian Scheme, Education and Research Initiative Fund, IIT, June 1988 to June 1989.

Pulverization and Agglomeration of Polymeric Materials Using High Shear and Normal Forces, with H. Arastoopour, funded by the National Science Foundation, September 1995 to August 1998.

Some Courses Taught

Calculus Advanced Calculus Complex Variables

Numerical Analysis Game Theory Special Functions

Probability & Statistics Applied Math. Analysis Differential Geometry

Tensor Analysis Applied Math for Engineers

Statics & Dynamics Continuum Mechanics Elasticity

Visco-Elasticity Rheology Polymer Science

Publications

1. The Differential Equations of the Stream Lines for Compressible Gas Flow, with T. Y. Thomas, J. Rational Mech. Anal. 4, 703-719 (1955)

2. On the Uniqueness of Ideal Gas Flows with a Straight Streamline, Proc Acad. Sci. U.S.A. 42, 850-854 (1956)

3. The Solution of Linear Differential Systems by Quadrature, with C. Truesdell, J. Rein. Angew. Math. 197, 104-111 (1957)

4. On the Dynamics of a Bull Whip, with D. A. Hall and H. M. Trent, J. Acous. Soc. Amer. 30, 1112-1115 (1958)

5. Work Functions in Hypo-elasticity, with fJ. L. Ericksen, Arch. Rational Mech. Anal. 1, 396-409 (1958)

6. Korn Inequalitites for the Sphere and the Circle, with T. A. Toupin, Arch. Rational Mech. Anal. 6, 51-64 (1960)

7. Proof of Caratheodory's Local Theorem and its Global Application to Thermostatics, j. Math. Phys 1, 222-224 (1960)

8. Relations Between Hypo-Elasticity and Elasticity, Trans. Soc. Rheology 4, 23-28 (1960)

9. Hypo-Elasticity and Elasticity, Arch. Rational Mech. Anal 6, 89-104 (1961)

10. Sound Waves in Deformed Perfectly Elastic Materials - Acousto-Elastic Effect, with R. A. Toupin J. Acoust. Soc. Amer. 33, 215-225 (1961)

11. Some Properties of the Hessian Matrix of a Strictly Convex Function, with R. A. Toupin, J. Reine und Angew. Math. 210, 65-72 (1962)

12. Conditions for Second Order Waves in Hypo-Elasticity, Trans. Soc. Rheology 6, 263-273 (1962)

13. A Study of Stress Relaxation with Finite Strain, with E. A. Kearsley and L. J. Zapas, Trans Soc. Rheology 7, 291-310 (1963)

14. Thermodynamics of Perfect Elastic Fluids, with E. A. Kearsley and L. J. Zapas, J. Research N.B.S. 68B, 103-113 (1964)

15. Remarks on Materials of the Rate Type and the Principle of Determinism, Trans. Soc. Rheology 5, 35-40 (1961)

16. Elastic Stress-Strain Relations in Perfect Elastic Fluids, with E. A. Kearsley and L. J. Zapas, Trans. Soc. Rheology 9, 27-39 (1965)

17. Time-Dependent Behavior of an Incompressible Elastic Fluid -- Some Homogeneous Deformation Histories, Acta Mechanica II, 329-354 (1966)

18. On Four Rheological Relations, Rheologica Acta 9, 186-193 (1970)

19. Small Shearing Oscillations Superposed on Large Steady Shear of the BKZ Fluid, Int. J. Nonlinear Mech. 4, 183-200 (1969)

20. Nonuniqueness of Second Order Fluids Under Steady Flow in Annuli, with R. L. Fosdick, Int. J. Engineering Sce. 1, 555-569 (1969)

21. The Exponential Stress-Relaxation History -- Comparison of Theories, with W. Goldberg and G. Lianis, Int. J. Nonlinear Mech. 4, 277-300 (1969)

22. Stability of a Relaxation-Type Fluid with Slight Elasticity, with G. Tlapa, Physics of Fluids 13, 565-568 (1970)

23. Residence-Time Distributions of Recycle Systems - Integral Equation Formulation, with B. Fu, A. B. Shaffer and H. Weinstein, I&EC Process Design and Development 10, 501-508 (1971)

24. On the Ultrasonic Dynamic Viscosities in Superposed Oscillatory Shear, with R. R. Huilgol, Trans. Soc. Rheology 15, 731-739 (1971)

25. Certain Asymptotic Relations for the Dynamic Moduli in Superposed Oscillatory Shear, with R. R. Huilgol and R. I. Tanner, Int. J. Engineering Science 10, 263-272 (1972)

26. A Rheological Relation Between Parallel and Transverse Superposed Complex Dynamic Moduli, Rheologica Acta 11, 210-215 (1972)

27. Estimation of Circulating Blood Volume from a Tracer Response Curve, with H. Weinstein, A. B. Shaffer, B. Fu and R. Acosta, IEEE Transactions on Biomedical Engineering 20, 269-277 (1973)

28. On Rheological Relations, Rheologica Acta 12, 295ff (1973)

29. Small Deformations Superposed on Large Deformations in BKZ Visco-Elastic Liquids, with M. H. Sadd, INt. J. Engineering Sci. 12, 205-219 (1974)

30. Investigation of the Multiplicity of Steady States with the Generalized Recycle Reactor Model, with T. C. Yang and H. Weinstein, Proc. Third International Symposium on Chemical Reactor Engineering, Evanston, IL, August (1974)

31. on Ultrasonic Dynamic Moduli, with R. R. Huilgol, Trans. Soc. Rheology 18, 583-590 (1974)

32. Energy Release Integral for Finite Elastic and Visco-Elastic Materials, with S. J. Chang, Rheologica Acta 13, 721-724 (1974)

33. Propagation of Small Disturbances on Large Deformations in a BKZ Visco-Elastic Liquid, with M. H. Sadd, Acta Mechanica 21, 273-288 (1975)

34. A Method of Parameter Differentiation Applied to Flow in Porous Annuli, with J. Morel and Z. Lavan, ZAMP 27, 289-302 (1977)

35. Flow Through Rotating Porous Annuli, with J. Morel and Z. Lavan, Physics of Fluids 20, 726-733 (1977)

36. A Unified Theory of Elasticity and Plasticity, Int. J. Engineering Science 15, 645-660 (1977)

37. Solutions to the Fokker-Planck Equations Governing Simultaneous Diffusion and Gravitational Settling of Aerosol Particles from a Stationary Gas in a Horizontal Circular Tube, with I. S. Goldberg, K. Y. Lam and J. O. Hutchens, J. Aerosol Science 9, 209-218 (1978)

38. A Variational Principle for Visco-Elastic Memory Fluids and its Use in Finite Element Analysis of Steady Flows with D. S. Malkus, Proc. IUTAM Symp. on Variational Methods in the Mechanics of Solids, Northwestern University, Evanston, Illinois Sept 11-13 1978, ed. Nemat Nasser, 383-3866 (1980)

39. The Stress-Clock Function in Visco-Elasticity, with A. Shokooh, J. of Rheology 24, 189-211 (1980)

40. A Theory of the Effects of Pressure on Finite Elastic Shear, with E. A. Kearsley, Rheology I, Proc. of the VII International Congress of Rheology, Naples, Italy, Sept 1-5 1980, 1, (1980)

41. Stability and Cold Drawing of Visco-Elastic Bars, with L. J. Zapas, J. of Rheology, 83-94 (1981)

42. Steady Flow of Memory Fluids with Finite Elements, Two Test Problems, with M. Kadivar and D. S. Malkus, Computer Methods in Applied Mechanics and Engineering 27, 279-302 (1981)

43. A Unified Thermodynamic Theory of Elasticiy and Plasticity, Journal of Elasticity 13, 411-427 (1983)

44. A Class of Hypo-Elastic Non-Elastic Materials and Their Thermodynamics, Arch. Rational Mech. Analysis 86, 291-303 (1984)

45. Flow of a Curtiss-Bird Fluid Over a Transverse Slot Using the Finite Element Drift-Function Method, with D. S. Malkus J. Non-Newtonian Fluid Mechanics 16, 77-116 (1984)

46. A Finite Element for Incompressible Plane Flows of Fluids with Memory, with D. S. Malkus and E. T. Olsen, Int. J. NUmerical Methods 5, 43-70 (1985)

47. Drift-Function Tracking with Compressibility and Variable Temperature, Journal of Non-Newtonian Fluid Mechanics 20, 299-321 (1986)

48. A Sum Suggested by Rational Approximations to Pi, with D. G. Rodgers, Australian Mathematical Society Gazette 16, 29-30 (1989)

49. Thermodynamics of Plastic Hinges with Damage, with T. Erber and S. A. Guralnick, Continuum Mechanics and Thermodynamics 3, 293-309 (1991)

50. An Asymptotic Expansion for the High Frequency Superposed Dynamic Viscosity of a Doi-Edwards Fluid, with R. R. Huilgol, Int. J. Non-Linear Mechanics 27, 299-308 (1992)

51. Application of Thermodynamic Theory of Viscoplasticity to Creep and Fatigue Modelling, with J. T. Fong, Topics in Plasticity, W.H. Yang, Editor, AM Press, P.O. box 15744, Ann arbor, MI 48106-5749, 161-173 (1991)

52. A PC-Based Modeling for Creep, Fatigue and Creep-Fatigue Interactions Using a Viscoplasticity Theory, ASME Transactions - J. of Pressure Vessel Technology 113, 174-179 (1991)

53. Sneaky Plasticity and Mesoscopic Fractals, with T. Erber and M. Karamolengos, Chaos Solitons and Fractals 3, 269-277 (1993)

54. A Non-Equilibrium Thermodynamic Theory of Viscoplastic Materials with J. T. Fong. J. Applied Physics 74, 2220-2228 ( 1993)

55. On the Use of Stress Growth Data to Determine Strain-Dependent Material Functions for Factorable K-BKZ equations , with D. C. Venerus and S. A. Tariq, J. Non-Newtonian Fluid Mechanics 49, 299-315 (1993)

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56. Steady Flows of Viscoelastic Fluids in Axisymmetric Abrupt Contraction Geometry: A Comparison of Numerical Results with K. A. Feigl and E. T. Olsen, J. Rheology 38, 53-71 (1994)

57. A First Order Exactly Incompressible finite element for Axisymmetric Fluid Flow, with K. A. Feigl and E. T. Olsen, SIAM J. Numerical Analysis 33, (1996)

58 Condition-Number-Based Validation of the Computational Solutionof a Finite Element Model Uing a Genereal Purpose Package named ANSYS, with J. T. Fong, D. E. Dietrich and Z. Wang, in preparation (1996)

59. Modular Design of a Finite Element Design Optimization Scheme Using a Concurrent Engineering Optimization Code (Elastic) and an Intelligent Agent (Beyond Elastic) with Selected Options of Constitutive Equations, with J. T. Fong and K. H. Chang, in preparation (1996)

Some Recent Reports and Conference Proceedings:

A PC-based Prototype Expert System for Data Management and Analysis of Creep and Fatigue of Selected Materials at Elevated Temperatures, with J. T. Fong, in Computer Aided Innovation of New Materials, Proc. Int'l Conf. on Computer Applications to Materials Science & Engineering, (CAMSE), Tokyo, Aug. 1990, M. Doyama, ed., pp 65-68, North Holland Elsevier (1991)

PDA: A PC-based Expert System for Analysis of DoE Nuclear Energy Performance Indicator (PI) Data, Interagency Report to U. S. Department of Energy, NISTIR 4907, August 1992. Springfield, VA: National Technical Information Service (1992)

Finite Element analysis of NIST Vibration Isolation Test Module -- An Interim Report, with J. T. Fong, S. J. Treado, Z. Wang and D. E. Dietrich, Nat. INst. Stands. & Tech. Internal Report NISTIR-______, May 1995. Gaithersburg, MD 20899: National Institute of Standards & Technology (1995)

-j. An Intelligent Agent for Error Monitoring and Optimal Mesh Refinement of Finite Element Analysis Using a General Purpose Package named ANSYS, with J. T. Fong, A. Wang and T. chuang, Proceedings of ASME Pressure Vessel & Piping Technology Conference, Honolulu, HI, July 1995

Demonstration of a 3-Way Multimedia Conference & Report-Writing Using a Collaborative Object-Oriented Toolkit named SCOOT, with J. T. fong, W. F. Mitchell, Z. Wang and D. E. Dietrich, Proceedings of ASME Pressure Vessel and Piping Technology Conference, Honolulu, HI, July 1995