Expertise Areas

Our Strength

Our main strength is our in-depth body of knowledge in computational stochastic mechanics, uncertainty modeling and risk prediction for complex engineering applications. Our specific areas of expertise include:

• Stochastic modeling of operational environments, loads, material and structural behaviors
• Deterministic and stochastic computational mechanics, stochastic finite elements, fluid dynamics, progressive failure mechanism
• Probabilistic risk assessment for complex engineering systems, such as aircraft structure and engines, nuclear facilities and ground vehicle systems
• Probabilistic structural analysis and design
• Risk-based maintenance engineering and optimal cost analysis • Health risk management including risk-based fault diagnostics and prognostics for air and ground vehicle and turbo-machinery systems


Research Areas

Currently, we have several on-going research projects on computational stochastic mechanics developments with in different industry application areas:

  1. Stochastic-optimization of complex mechanical system problems involving highly nonlinear, noisy responses
  2. Seismic wave progagation in random soil layering media including local wave scattering near building foundations and dynamic soil-structure interaction effects
  3. Reliability-based optimization of vehicle component design
  4. Reliability analysis of aircraft structures and joints
  5. Stochastic modeling of fatigue and fatigue-corrosion progressive damage in aluminum alloys
  6. Stochastic field expansion models for approximating nonlinear responses under random inputs
  7. Stochastic unsteady forced response of bladed-disks in gas turbine engines
  8. Stochastic simulation of complex uncertain responses using dynamic Monte Carlo algorithms
  9. Computation of predicted risk variations due to epistemic uncertainties
  10. Stochastic domain partitioning techniques for large stochastic mechanics problems
  11. Stochastic multilevel domain decomposition for large stochastic mechanics problems
  12. Stochastic algebraic multigrid techniques for stochastic finite element solutions
  13. Visualization of high-dimensional stochastic responses
  14. Stochastic image processing for advanced pattern classification and incipient fault detections

Clients & Collaborators

Selected List of Clients and Collaborators:

  1. ABDA Inc., Dayton, OH
  2. Atomic Energy Canadian Limited, AECL, Toronto, Canada
  3. Akita University, Akita, Japan
  4. APES Inc., Saint Louis, MI
  5. ARES Corporation, Los Angeles, CA
  6. Boeing Phantom Works, Los Angeles, CA
  7. Bechtel Corporation, San Francisco, CA
  8. Case Western Reserve University, Cleveland, OH
  9. CNGSoftech, Seoul, South Korea
  10. CNPE, Beijing, China
  11. Chiba University, Tokio, Japan
  12. Cornell University, Ithaca, NY
  13. DaimlerChrysler, Detroit, MI
  14. Defense Nuclear Facility Safety Board, Washington, D.C.
  15. Electronuclear, Brasil, Brasil
  16. Electric Power Research Institute, Palo Alto, CA
  17. Fluor Daniel Corporation, Las Vegas, NV
  18. General Electric Aviation, Cincinnati, OH
  19. GE Global Research Center, Schenectady, NY
  20. International Atomic Energy Agency, Austria
  21. LMS International, Detroit, MI
  22. Lockheed Martin Corporation, Atlanta, GE
  23. KOPEC, Seoul, South Korea
  24. KOPEC, Seoul, South Korea
  25. MD Professional Services Inc., Richland, WA
  26. Mitsubishi Heavy Industries, MHI, Kobe, Japan
  27. Northeastern University of Boston, Boston, MA
  28. Nagoya University, Nagoya, Japan
  29. PMBR Ltd., Centurion, Republic of South Africa
  30. Pratt&Whitney, East Hartford, CT
  31. Princeton University, New Jersey, NJ
  32. Sargent & Lundy, Chicago, IL
  33. Shinshu University, Shinshu, Japan
  34. SNERDI,Shanghai, China
  35. Stevenson Consulting, Cleveland, OH
  36. STI Technologies Inc., Rochester, NY
  37. Toshiba Corporation, Yokohama, Japan
  38. TRW Corporation, Las Vegas, NV
  39. University of California at Berkeley, San Francisco, CA
  40. University of California at Los Angeles, Los Angeles, CA
  41. University of Iowa, Iowa City, IO
  42. University of Toledo, Toledo, OH
  43. University of Wisconsin, Madison, WI
  44. URS Washington Division, Princeton, NJ
  45. US Air Force, AFRL-WPAFB, Dayton, OH
  46. US Army, RDECOM-TARDEC, Detroit, MI
  47. US Nuclear Regulatory Commission, Washington, D.C.
  48. US Office of Secretary of Defense, Washington, D.C.
  49. Vanderbilt University, Nashville, TN
  50. Washington Group International, Princeton, NJ
  51. Westinghouse Electric Company, Pittsburgh, PA

Consulting Areas

Computational Mechanics:

  1. Structural analysis and design of mechanical components and systems
  2. Advanced, specialized finite element and fluid dynamics numerical modeling and code development
  3. Computational modeling for structural stress analysis of systems and components
  4. Structural dynamics and stability, chaotic problems, linear and nonlinear structural vibration
  5. Computational modeling for structure-fluid coupled field problems, including aerolastic phenomena
  6. Unsteady CFD analysis and flutter analysis for turbine blades, including shape design optimization
  7. Through flow multistage turbine simulation with empirical loss model for optimal design.
  8. Seismic soil-structure interaction analysis of embedded structures, on pile foundations, or buried structures, such as hazardous waste storage tanks, subway stations in urban areas
  9. Seismic safety margin evaluation and reevaluation of nuclear structures and systems
  10. Structural evaluation and redesign of internal platforms and reactor building structures subjected to severe accident dynamic loads and external loading from strong winds and earthquakes.

Stochastic Mechanics and Risk Predictions:

  1. Stochastic modeling of loads. material structure and behavior
  2. Reliability analysis of components and systems
  3. Risk-based component and system condition assessment and remaining life prediction
  4. Probabilistic risk assessment reviews for large, complex systems including nuclear facilities, aircraft structures, vehicle systems and turbine systems
  5. Stochastic-neuro-fuzzy approaches for fault/failure prognostics in st ructures and engines
  6. Fragility (risk) analyses and risk assessment for nuclear power plant structures
  7. Reliability-based design optimization of structural and mechanical systems
  8. Uncertainty quantification and risk management
  9. Stochastic physics of failure analysis
  10. Stochastic dynamics, nonlinear random vibration, stochastic stability
  11. Probabilistic damage mechanics and fracture mechanics
  12. Risk-based life-cycle cost analysis of mechanical systems, including maintenance activities

Deterministic and Probabilistic Optimization:

  1. Multi-objective Pareto optimization, combinatorial optimization, dynamic programming optimization, gradient-based and gradient-free optimization
  2. Optimization of blade shapes based on vibration responses and aerodynamic performance
  3. Reliability-based design optimization of mechanical systems and components
  4. Shape optimization of nuclear power turbines based on a viscous steam flow modeling

Design Improvement:

  1. Quantification of sensitivity of design performance and effectiveness to off-design conditions
  2. Implementation of probabilistic aspects into multidimensional design, verification and analysis
  3. Failure analysis and engineering solution for vibrating structures, systems, including turbines

Failure Prediction:

  1. Predicting localized damages based on dispersion wave theory and wavelet transforms
  2. Predicting component failures using stochastic process models, such as hidden Markov chains, and stochastic Petri nets
  3. Physics of failure analysis in mechanical systems, in alloys and composites
  4. Predicting faults using advanced stochastic-neurro-fuzzy inference and prediction tools

Damage Mechanics and Fracture Mechanics:

  1. High cycle fatigue modeling for mechanical systems including jet engine blades
  2. Corrosion-fatigue of mechanical systems including aircraft fuselage lap and butt joints
  3. Health prognostics and management of aging and degrading structures and systems

Recent Publications


  1. Engineering Design Reliability Handbook, Taylor & Francis, CRC Press, December 2004 Available in CRC Press and Amazon bookstores. Please see Chapters 20,28 and 41 on Stochastic Simulation Methods in Engineering Predictions (Draft), Reliability Assessment of Aircraft Structure Joints under Corrosion-Fatigue Damage (Draft) and Nondeterministic Hybrid Architectures for Vehicle Health Management (Draft)
  2. Engineering Design Reliability Applications: For Aerospace, Automotive and Ship Industries, Taylor & Francis, CRC Press, September 2007 Available in CRC Press and Amazon bookstores.

Selected Papers and Presentations:

  1. Papers in OECD NEA/IAEA SSI Workshop Proceedings, Ottawa, October 6-8, 2010

    Seismic SSI Response of Reactor Building Structures

    Seismic Motion Incoherency Effects for Nuclear Complex Structures On Different Soil Site Conditions

    EPRI AP1000 NI Model Studies on Seismic Structure-Soil-Structure Interaction (SSSI) Effects

    Seismic Motion Incoherency Effects for CANDU Reactor Building Structure
  2. Paper and Slide Presentation included in the Proceedings of the 2010 NDIA Ground Vehicle Systems Engineering and Technology Symposium (GVSETS), Detroit, MI, August 18-20, 2010

    Application of An Integrated HPC Reliability Prediction Framework to HMMWV Suspension System(paper)

    Application of An Integrated HPC Reliability Prediction Framework to HMMWV Suspension System (slides)
  3. Paper and Slide Presentation included in the Proceedings of the 2009 NDIA Ground Vehicle Systems Engineering and Technology Symposium (GVSETS), Detroit, MI, August 18-20, 2009

    An Integrated High-Performance Computing Reliability Prediction Framework for Ground Vehicle Design Evaluation (paper)

    An Integrated High-Performance Computing Reliability Prediction Framework for Ground Vehicle Design Evaluation (slides)
  4. Papers at the 20th Structure Mechanics in Reactor Technology, Proceedings of SMiRT20 Conference, Paper 1852, Helsinki, August 10-14, 2009

    Seismic Motion Incoherency Effects for AP1000 Nuclear Island Complex

    Seismic Motion Incoherency Effects on SSI Response of Nuclear Islands with Significant Mass Eccentricities and Different Embedment Levels
  5. Paper at the ASME 2009 International Design Engineering Technical Conferences 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, IDETC/MSNDC 2009, August 30 – September 2, 2009, San Diego, California, USA
    A Stochastic Approach to Integrated Vehicle Reliability Prediction
  6. Paper at the 10th International Conference in Structural Safety And Reliability, Proceedings of ICOSSAR 2009 Conference, Osaka, Japan, September 13-17, 2009
    Seismic motion incoherency effects on soil-structure interaction (SSI) response of nuclear power plant buildings
  7. Invited Presentation at 8th. World Congress on Computational Mechanics(WCCM8), 5th. European Congress on Computational Methods in Applied Sciences and Engineering(ECCOMAS 2008), Venice, Italy, June 30 – July 5, 2008
    Stochastic Modeling and Simulation for Large Size Computational Mechanics Problems (Compact Version)
  8. Paper at the 19th Structure Mechanics in Reactor Technology, Proceedings of SMiRT19 Conference, Paper K05/4, Toronto, August, 2007
    "Seismic Ground Motion Incoherency Effects on Soil-Structure Interaction Response of NPP Building Structures"
  9. Paper at the 47th AIAA/ASME/ASCE/AHS/ASC SDM Conference, 1st AIAA NDA Conference, Newport, RI, May 1-4, 2006
    Novel Stochastic Concepts and Algorithms Integrated Within A Graphically-Assisted Reliability Prediction System for Aircraft Jet Engine Rotating Assemblies, Paper AIAA-2006-1991
  10. Papers/Presentation at 46th AIAA/ASME/ASCE/AHS/ASC SDM Conference, Austin, TX, April 18-21, 2005

    Computational Advances in Reliability Assessment of Aircraft Structures Under Corrosion-Fatigue Damage, Paper AIAA-2005-2148

    Advances in Computational Risk Predictions for Complex, Large-Size Structural Engineering Applications, Paper AIAA-2005-2222

    Computational Advances in Reliability Assessment of Aircraft Structures Under Corrosion-Fatigue Damage, Slide Presentation
  11. Briefs of the Presentations at the 2005 National HCF Conference, New Orleans, LO, March 14-18, 2005

    Stochastic Subspace Projection Schemes for Solving Random Mistuning Problems in Jet Engine Bladed-Disks

    Stochastic Interference and Visualization Tools for Risk-Based In-Flight Engine Fault Diagnostics and Prognostics

    Stochastic Response Surface Approximation Using (Bayesian and Fuzzy) Hierarchical Models for Complex Engineering Applications
  12. Paper at the US-Japan Seismic Soil-Structure Interaction Workshop, Menlo Park, California, March 29-30, 2004
    Seismic Motion Incoherency Effects on Structures