CEE Faculty Profile

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Rafi L. Muhanna

Associate Professor

Articles

  1. Hao Zhang, R. L. Mullen, and R. L. Muhanna, “Structural analysis with probability-boxes”, Int. J. Reliability and Safety, Vol. 6, Nos. 1/2/3, 2012.
  2. M. V. Rama Rao, R. L. Mullen, and R. L. Muhanna, “A New Interval Finite Element Formulation with the same accuracy in primary and derived variables”, Int. J. Reliability and Safety, Vol. 5, Nos. 3/4, 2011.
  3. Zhang Hao; Mullen Robert L; Muhanna Rafi L, “Interval Monte Carlo methods for structural reliability”, J. Structural Safety, Vol. 32. Issue 3, pp. 183-190, 2010.
  4. Zhang, Hao, Muhanna, Rafi. L., "Interval Approach for Nondeterministic Linear Static Finite Element Method in Continuum Mechanics Problems, “Int. J. Reliability and Safety. Vol. 3, No. 1/2/3, pp. 201-217, 2009.
  5. Zalewski, B.F., Mullen, R. L. and Muhanna, R. L. “Fuzzy Boundary Element Method for Geometric Uncertainty in Elasticity Problem”, SAE Int. J. of Materials & Manufacturing, 2:310-316, October 2009.
  6. Zalewski, B.F., Mullen, R. L. and Muhanna, R. L., “Interval Boundary Element Method in the Presence of Uncertain Boundary Conditions, Integration, and Truncation Errors, ” Journal of Engineering Analysis with Boundary Elements. Vol. 33, Issue 4, pp. 508-513, 2009.
  7. Muhanna, R. L., Mullen, R. L., and Zhang, H.," Combined Axial and Bending Stiffness in Interval Finite Element Methods," Journal of Structural Engineering-ASCE, Vol. 133, No. 12, pp. 1700-1709, 2007.
  8. Muhanna, R., Mullen, R., and Zhang, H., "Interval Finite Element as a Basis for Generalized Models of Uncertainty in Engineering Mechanics,” Reliable Computing Journal, Springer Netherlands, Vol. 13, No. 2, pp. 173-194, April 2007.
  9. Mehdi Modares, Robert Mullen, Paul X. Bellini, and Rafi L. Muhanna, “Buckling Analysis of Structures with Interval Uncertainties”, SAE Transactions Journal of Passenger Cars –Mechanical Systems, pp. 284-290, March 2006.
  10. Pereira, S., Mello, U., Nelson, M., and Muhanna R., L. "Uncertainty in Thermal Basin Modeling: An Interval Finite Element Approach, " Journal of Reliable Computing, Springer Netherlands, Vol. 12, No. 6, pp. 451-470, December 2006.
  11. Modares, M., Mullen, R., L. and Muhanna, R. L. " Natural Frequency of a Structure with Bounded Uncertainty, "Journal of Engineering Mechanics, ASCE, Vol. 132, No. 12, pp. 1363-1371, 2006.
  12. Muhanna, R. L., Mullen, R. L., and Zhang, H., "Penalty-Based Solution for the Interval Finite Element Methods, "Journal of Engineering Mechanics, ASCE, Vol. 131, No. 10, pp.1102-1111, 2005.
  13. Muhanna, R. L. and Mullen, R. L., "Uncertainty in Mechanics Problems - Interval-Based Approach, "Journal of Engineering Mechanics, ASCE, Vol. 127, No. 6, pp 557-566, 2001.
  14. Muhanna, R. L. and Mullen, R. L., "Treatment Of Geometric Tolerances In Finite Element Analysis," International Journal of Advanced Manufacturing Systems, Vol. 4, No. 1, pp 143-162, 2001.
  15. Muhanna, R. L. and Mullen, R. L., "Formulation of Fuzzy Finite Element Methods for Mechanics Problems, " Computer-Aided Civil and Infrastructure Engineering (previously Microcomputers in Civil Engineering), Vol.14, pp 107-117,1999.
  16. Mullen, R. L. and Muhanna, R. L. "Bounds of Structural Response for All Possible Loadings, "Journal of Structural Engineering, ASCE, Vol. 125, No. 1, pp 98-106, 1999.
  17. Muhanna, Rafi L., Ayyub, Bilal M. "Uncertainty Analysis of Structural Strength of Stiffened Panels," Naval Engineers Journal, Vol. 108, No. 3, pp 399-418, 1996.
  18. Muhanna, R. L., "A New Assumed Natural Strain Formulation of the Shallow Shell Element," Communications in Numerical Methods in Engineering, Vol. 9, pp 989-1004, 1993.
  19. Muhanna, Raif L., Muhanna, Rafi L., and Muhanna, Z. L., "Construction System with Natural Stone in Syria, "Journal Architektur (Germany), Vol. 7, 1988.
  20. Muhanna, R. L. "The Analysis of Shallow Shells by Finite Element Method, J. Structures (in Bulgarian), Vol. 7, 1978.

Books

  1. Muhanna, R. L. and Mullen, R. L., Interval Based Finite Elements for Uncertainty Quantification in Engineering Mechanics, Chapter in Uncertainty Quantification, IFIP, Springer-Verlag, 2011.
  2. Muhanna, R. L. and Mullen, R. L., Interval Methods for Reliable Computing, Chapter in Reliability Design Handbook, CRC Press LLC, ISBN 0-8493-1180-2, edited by Efsratios Nikolaidis and Dan Ghiocel, 2005.

Proceedings

  1. Zhang, H., Mullen, R. L., and Muhanna, R. L.”Interval Estimates of Structural Reliability”, Proceedings of the International workshop on Reliable Engineering Computing “Robust Design-Coping with Hazards, Risk and Uncertainty”, Research Publishing, pp. 386-395, National University of Singapore, Singapore, March 2010.
  2. Zhang, H., Mullen, R. L., and Muhanna, R. L.”Finite Element Structural Analysis using Imprecise Probabilities Based on P-Box Representation”, Proceedings of the International workshop on Reliable Engineering Computing “Robust Design-Coping with Hazards, Risk and Uncertainty, ”Research Publishing, pp. 211-225, National University of Singapore, Singapore, March 2010.
  3. Rama Rao, M. V., Mullen, R. L., and Muhanna, R. L. “Primary and Derived Variables with the Same Accuracy in Interval Finite Elements” Proceedings of the International workshop on Reliable Engineering Computing “Robust Design-Coping with Hazards, Risk and Uncertainty, ” Research Publishing, pp. 129-148, National University of Singapore, Singapore, March 2010.
  4. Zhang, Hao and Muhanna, Rafi L. “Interval Estimates of Structural Reliability, “Proceedings of the 10th International Conference on Structural Safety and Reliability (ICOSSAR 2009), Osaka, Japan, September 13-17, 2009.
  5. B.F. Zalewski, R.L. Mullen, R.L. Muhanna, “Boundary Element Analysis of Systems Using Interval Methods”, Proceedings of the NSF Workshop on Reliable Engineering Computing, Georgia Tech, Savannah, GA, February 22-24, 2006.
  6. Rafi Muhanna, Vladik Kreinovich, Pavel Solin, Jack Chessa, Roberto Araiza, and Gang Xiang, “Interval Finite Element Methods: New Directions”, Proceedings of the Rafi L. Muhanna Curriculum Vitae 8 NSF Workshop on Reliable Engineering Computing, Georgia Tech, Savannah, GA, February 22-24 2006.
  7. Rafi L. Muhanna, Ayše Erdolen and Robert Mullen, “Geometric Uncertainty in Truss Systems: An Interval Approach”, Proceedings of the NSF Workshop on Reliable Engineering Computing, Georgia Tech, Savannah, GA, February 22-24, 2006.
  8. Zhang, H., Muhanna, R. Mullen, R., "Finite Element Analysis for Uncertain Structures: An Interval Approach," Proceedings of the 9th International Conference on Structural Safety and Reliability (ICOSSAR 2005), Rome, Italy, June 19-23, 2005.
  9. Modares, M., Mullen, R., Bellini, P., and Muhanna, R., “Buckling Analysis of Structures with Interval Parameters,” Proceedings of the 2005 SAE World Congress, Reliability and Robust Design in Automotive Engineering, Detroit, Michigan, April 11-14, 2005.
  10. Muhanna, R., Mullen, R. and Zhang, H., “Interval Finite Element as a Basis for Generalized Models of Uncertainty in Engineering Mechanics,” Proceedings of the NSF Workshop on Reliable Engineering, Georgia Tech, Savannah, GA, September 15-17, 2004.
  11. Modares, M., Mullen, R., Muhanna, R., and Zhang, H., "Buckling Analysis of Structures with Uncertain Properties and Loads Using an Interval Finite Element Method," Proceedings of the NSF Workshop on Reliable Engineering, Georgia Tech, Savannah, GA, September 15-17, 2004.
  12. Zhang, H. and Muhanna, R. “Finite Element Analysis for Structures with Interval Parameters,” Proceedings of the 9th ASCE joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, New Mexico, July 26-28, 2004.
  13. Muhanna, R. L. and Mullen, R. L., " Critical Issues in the Application of Interval Methods to Finite Element Analysis, " Proceedings of SCAN2002, 10th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Paris, France, September, 24-27, 2002.
  14. Mullen, R. L. and Muhanna, R. L. "Interval Methods for Finite Element Solution," Proceedings of the High Performance Computing Systems and Applications, HPCS’2002, IEEE, editors: Almhana J. N. and Bhavsar V. C., Moncton, NB, Canada June 16-19,. 2002.
  15. Muhanna, R. L. and Mullen, R. L., "Sharp Rigorous Bounds On Interval Estimates For Finite Solutions With Uncertain Material Properties, " Proceedings of the 2000 NSF Design & Manufacturing Research Conference, Vancouver, British Columbia, Canada, January 3-6, 2000.
  16. Muhanna, R. L. and Mullen, R. L., "Sharp Enclosure for Material Uncertainty in Solid and Structural Mechanics-Interval Based Approach, Part II, " Proceedings of the Eighth ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability University of Notre Dame, Notre Dame, Indiana July 24-26, 2000.
  17. Muhanna, R. L. and Mullen, R. L., "Sharp Enclosure for Material Uncertainty in Solid and Structural Mechanics-Interval Based Approach, Part I, " Proceedings of the Eighth ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability University of Notre Dame, Notre Dame, Indiana July 24-26, 2000.
  18. Mullen, R. L. and Muhanna, R., L., "Sharp Interval Estimates for Finite Element Solutions with Fuzzy Material Properties, " Proceedings of the 14th ASCE Rafi L. Muhanna Curriculum Vitae 9 Engineering Mechanics Conference, The University of Texas at Austin, May 21-24, 2000.
  19. Muhanna, R. L. and Mullen, R. L., "Interval based Methods for Load and Stiffness Uncertainty in Computer-Aided Analysis, " Proceedings of the 1999 NSF Design & Manufacturing Grantees Conference, Queen Mary, Long Beach, CA, January 5-8, 1999.
  20. Mullen, R. L. and Muhanna, R., L., "Interval-Based Geometric and Material Uncertainty for Mechanics Problems," Proceedings of the 13th ASCE Engineering Mechanics Division Conference, The Johns Hopkins University, Baltimore, MD, June 13-16, 1999.
  21. Mullen, R. L. and Muhanna, R. L., "Interval Based Finite Element Methods, " Proceedings of Recent Advances in Numerical Methods and Applications, editors: Iliev O. P., Kaschiev M. S., Margenov S. D., Sendov Bl. H., Vassilevski P. S., World Scientific Publishing Co. Pte. Ltd., 1999.
  22. Muhanna, R., Ballarini, R. and R. Mullen, "Calculation of Stress Intensity Factors with Fuzzy Loading, " Proceedings of the 4-th International Conference on Stochastic Structural Dynamics, University of Notre Dame, Notre Dame, IN, USA, Aug. 6-8, 1998. http://www.nd.edu/~ssd98/.
  23. Muhanna, R. L. and Ayyub, B. M. "Modeling Geometric Uncertainties of Continuum Mullen, R. L. and Muhanna, R. L. "Structural Analysis with Fuzzy-Based Load Uncertainty, " Proceedings of the 7th ASCE EMD/STD Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, WP I, MA, pp 310-313, August 7-9, 1996.
  24. Structures for Reliability Assessment Purposes, " Proceedings of ISUMA-NAFIPS’95, pp 705-710, September 17-20, 1995.
  25. Muhanna, R. L. and Mullen, R. L. "Development of Interval Based Methods for Fuzziness in Continuum Mechanics, " Proceedings of ISUMA-NAFIPS’95, pp 145-150, September 17-20, 1995.
  26. Muhanna, R. L., "Local Building Materials and a New System for Houses and Buildings, " The First Symposium on Quality Control of Structures And Building Materials, Sana'a, Yemen, January 1990.
  27. Muhanna, R. L., "The Policies of Planning and Design of Earthquake Resistant Constructions," Symposium on December '82 Earthquake Relief and Reconstruction Program, Sana'a, Yemen, April 1989.
  28. Muhanna, R. L., AL-Hasan, A., and AL-Jabri, L., "New Aspects of a Traditional Material," Symposium of Low Cost Rural Housing, Dara'a, Syria, September 1982.

Patents

  1. 2003 Development of Java based interval calculator. This Interval Calculator is a JAVA-SWING and C++ based application, it can be run locally or as a Web computing tool. Developed by Center of Reliable Engineering Computing (REC), Georgia Tech Savannah. Unlike conventional calculators, this interval calculator is a generalized scientific calculator that works beyond the dimensions of conventional arithmetic and intended for reliable computations. It is capable of displaying computer representations of numbers. Developed to serve as a student learning tool as well as a scientific calculator for engineering community to explore the new dimensions of interval arithmetic in validating computing. It operates under three modes, single/double precision, and their combinations.
  2. 2001 Established the Computational Mechanics Laboratory at GTREP, including:A35-WRF2-Sun Fire 280R Server (dual 750 Ultra SPARC-III processors, 8MB E-cache, 4GB memory, two 36GB hard disks).Two Sun Blade-100 (500 Mhz/UltraSPARC-Ie, 256 KB L2 Cache, Expert3D-Graphics, 256 Mbyte SDRAM/15-Gbyte Internal).Software (Finite Element software, Sun Forte developer including Fortran, C, C++ compilers, and Interval Math Library).
  3. 1996 Patent, 60/026085, September 13, 1996, “Device and Method for Evaluation of Mechanical Behavior for All Possible Loading Combinations, “U. S., provisional.
  4. 1988 Patent No. 4219, May 30, 1988, for “A New System for the Construction of Houses and Buildings using Natural Stone Shells, “Syria.