Book

  • A S Balu, B N Rao (2012). Structural reliability bounds: under mixed uncertainties, Lambert academic publishing, Germany. ISBN:978-3-8484-0488-9

Book Chapters

  1. Balu A S, Rao B N (2014). Multicut-high dimensional model representation for reliability bounds estimation, Numerical Methods for Multiscale and Multiphysics in Reliability and Safety, Springer, ISBN:978-3-319-07166-4.
  2. Balu A S, Rao B N (2013). Inverse reliability analysis for possibility distribution of design variables, Global Product Development: Lecture Notes in Mechanical Engineering, Springer, ISBN:978-81-322-1049-8.

Journals (International)

  1. Balu A S, Rao B N. Efficient assessment of structural reliability in presence of random and fuzzy uncertainties, ASME Journal of Mechanical Design, 136(5), 051008, 2014.
  2. Balu A S, Rao B N. Confidence bounds on design variables using HDMR based inverse reliability analysis, ASCE Journal of Structural Engineering, 139(6), 985–996, 2013.
  3. Balu A S, Rao B N. High dimensional model representation for structural reliability bounds estimation under mixed uncertainties, International Journal of Structural Engineering, 4(3), 251–272, 2013.
  4. Balu A S, Rao B N. Bounds on reliability of structures with multiple design points using MHDMR, Journal of Life Cycle Reliability and Safety Engineering, 2(1), 33–51, 2013.
  5. Balu A S, Rao B N. Multicut-HDMR for structural reliability bounds estimation under mixed uncertainties, Computer-Aided Civil and Infrastructure Engineering, 27(6), 419–438, 2012. 
  6. Balu A S, Rao B N. High dimensional model representation based formulations for fuzzy finite element analysis of structures, Finite Elements in Analysis and Design, 50, 217–230, 2012.
  7. Balu A S, Rao B N. Inverse structural reliability analysis under mixed uncertainties using high dimensional model representation and fast Fourier transform, Engineering Structures, 37, 224–234, 2012.
  8. Balu A S, Rao B N. Membership function of failure probability using multi-cut high dimensional model representation, International Journal of Reliability, Quality and Safety Engineering, 19(4), 01–26, 2012.
  9. Balu A S, Rao B N. Estimation of membership function of design variables using HDMR and FFT, Electronic Journal of Structural Engineering, 12(1), 27–36, 2012.
  10. Balu A S, Rao B N. Explicit fuzzy analysis of systems with imprecise properties, International Journal of Mechanics and Materials in Design, 7(4), 283–289, 2011.

Journals (National)

  1. Balu A S, Rao B N. Efficient explicit formulation for practical fuzzy structural analysis, Sadhana, 36(4), 463–488, 2011.
  2. Balu A S, Rao B N. Efficient high dimensional model representation based method for system reliability bounds estimation, Journal of Structural Engineering, 38(3), 260–274, 2011.

Conferences (International)

  1. Rao B N, Balu A S. Fuzzy meshfree method for fracture analysis of cracks, ASME Conference on Pressure Vessels and Piping, Texas, USA, pp. 35-42, July 22-26, 2007.
  2. Balu A S, Rao B N. High dimensional model representation based fuzzy analysis. International Congress on Computational Mechanics and Simulation, Mumbai, December 1-5, 2009.
  3. Balu A S, Rao B N. Reliability analysis using high dimensional model representation for mixed uncertain variables, IOP WCCM/APCOM Conference Series: Materials Science and Engineering, Sydney, Australia, 10(1), 012014, July 19-23, 2010.
  4. Balu A S, Rao B N. Explicit fuzzy analysis of systems with imprecise properties, International Conference on Computational Methods, Hunan, China, November 19-21, 2010.
  5. Balu A S, Rao B N. Practical fuzzy analysis of systems using HDMR, International Conference on Mechanical and Aerospace Engineering, Kuala Lumpur, Malaysia, November 26-28, 2010.
  6. Balu A S, Rao B N. Possibility distribution of reliability using high dimensional model representation, International
    Conference on Theoretical, Applied, Computational and Experimental Mechanics, Kharagpur, December 27-29, 2010.
  7. Dette G, Balu A S, Rao B N, Rombach G A, Sigrist V. Reliability response surface of deteriorating prestressed concrete bridge, International Conference on Theoretical, Applied, Computational and Experimental Mechanics, Kharagpur, December 27-29, 2010.
  8. Rao B N, Balu A S. High dimensional model representation for structural reliability bounds estimation under mixed uncertainties, US National Congress on Computational Mechanics, Minnesota, USA, July 25-29, 2011.
  9. Rao B N, Balu A S. High dimensional model representation based inverse structural reliability method in
    presence of mixed uncertain variables, International Conference on Structural Mechanics in Reactor Technology, New Delhi, November 6-11, 2011.
  10. Rao B N, Balu A S. Multicut HDMR based reliability bounds estimation under mixed uncertainties, International Conference on Structural Engineering, Construction and Management, Kandy, Sri Lanka, December 16-18, 2011.
  11. Balu A S, Rao B N. Inverse reliability analysis using high dimensional model representation, International  Conference on Structural Engineering, Construction and Management, Kandy, Sri Lanka, December 16-18, 2011.
  12. Balu A S, Rao B N. Failure probability bounds using multicut high dimensional model representation, International Symposium on Engineering under Uncertainty: Safety Assessment and Management, Shibpur, January 4-6, 2012.
  13. Rao B N, Balu A S. Bounds on design variables using HDMR based inverse reliability analysis, Network for Integrating Structural Analysis, Risk and Reliability, London, July 2-4, 2012.
  14. Balu A S, Rao B N. Inverse reliability analysis for confidence bounds on design variables using HDMR, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, September 10-14, 2012.
  15. Balu A S, Rao B N. Estimation of failure probability bounds using MHDMR, International Congress on Computational Mechanics and Simulation, Hyderabad, December 10-12, 2012.
  16. Rao B N, Balu A S. Possibility distribution of structural reliability using high dimensional model representation, International Congress on Computational Mechanics and Simulation, Hyderabad, December 10-12, 2012.
  17. Balu A S, Rao B N. Inverse reliability analysis for possibility distribution of design variables, International Conference on Research into Design, Chennai, pp. 543-555, January 7-9, 2013.
  18. Rao B N, Balu A S. Reliability bounds using multicut high dimensional model representation, International Conference on Structural Safety and Reliability, New York, June 16-20, 2013.
  19. Rao B N, Balu A S. Reliability assessment of structures with mixed uncertainties, International Conference on Integrity, Reliability & Failure, Funchal, Portugal, June 23-27, 2013.
  20. Balu A S, Rao B N. Response surface based analysis of structures with fuzzy variables, International Conference on Structural Engineering and Mechanics, Rourkela, December 20-22, 2013.
  21. Balu A S, Rao B N. Fuzzy representation of failure probability using MHDMR, International Conference on Reliable Engineering Computing, Chicago, USA, May 25-28, 2014.
  22. Rao B N, Balu A S. HDMR based inverse reliability analysis, International Congress on Computational Mechanics and Simulation, Chennai, India, December 10-13, 2014. 
  23. Balu A S, Rao B N. Confidence bounds on failure probability using MHDMR, Structural Engineering Convention, New Delhi, December 22-24, 2014
  24. Rao B N, Balu A S. Multicut-high dimensional model representation for reliability bounds, International Conference on Theoretical, Applied, Computational and Experimental Mechanics, Kharagpur, December 29-31, 2014. 

Conferences (National)

  1. Rao B N, Balu A S. Response of structures with fuzzy uncertainties using HDMR, Theme Meeting on Fuzzy and Interval Based Uncertainty Modeling (FIUM-2013), Rourkela, July 18-20, 2013.
  2. Rao B N, Balu A S. Estimation of reliability bounds using MHDMR, Indian Conference on Applied Mechanics (INCAM 2013), Chennai, July 4–6, 2013.