Statistical validation of simulation models

International Journal of Materials and Product Technology

Volumn 25, Issue 1-3, 2006, Pages 164-181

  Rebba, Ramesh ^a,b   Huang, Shuping ^a,b   Liu, Yongming ^a,b   Mahadevan, Sankaran ^a,b,c  

^a VANDERBILT UNIVERSITY   (United States)

^b VANDERBILT UNIVERSITY   (United States)

^c Department of Civil and Environmental Engineering ^*  (United States)

Author keywords

Bayesian statistics; Fatigue life; Hypothesis testing; PCA; Validation

Indexed keywords

AUTOMOTIVE ENGINEERING; COMPUTER SIMULATION; FATIGUE OF MATERIALS; MACHINE DESIGN; MATHEMATICAL MODELS; PRINCIPAL COMPONENT ANALYSIS; RESIDUAL STRESSES; SPOT WELDING; UNIVERSAL JOINTS;

BAYESIAN STATISTICS; HYPOTHESIS TESTING; SIMULATION MODELS; VALIDATION;

STATISTICAL METHODS;

EID: 31144478884     PISSN: 02681900     EISSN: None     Source Type: Journal    
DOI: 10.1504/ijmpt.2006.008280     Document Type: Article

References (50)

1. Aeschliman, D.P. and Oberkampf, W.L. (1998) 'Experimental methodology for computational fluid dynamics code validation', AIAA Journal, Vol. 36, No. 5, pp.733-741.
2. American Institute of Aeronautics and Astronautics (1998) Guide for the Verification and Validation of Computational Fluid Dynamics Simulations, AIAA-G-077-1998, Reston, VA.
3. Anderson, M.C., Hasselman, T.K. and Crawford, J.E. (2000) 'A toolbox for validation of nonlinear finite element models', Proceedings of 6th International LS-DYNA Users Conference, Simulations 2000, Dearborn, MI, USA, 9-11 April.
4. Ang, A.H-S. and Tang, W.H. (1975) Probability Concepts in Engineering Planning and Design, Volume I: Basic Principles, John Wiley & Sons, New York.
5. Ang, J.A., Trucano, T.G. and Luginbuhl, D.R. (1998) Confidence in ASCI Scientific Simulations, Report No. SAND98-1525C; Sandia National Laboratories Albuquerque, NM.
6. Bae, D.H., Sohn, I.S. and Hong, J.K. (2003) 'Assessing the effects of residual stresses on the fatigue strength of spot welds', Welding Journal, pp. 18-23, January.
7. Baeza-Yates, R. and Ribeiro-Neto, B. (1999) Modern Information Retrieval, ACM Press, New York.
8. Bayarri, M.J., Berger, J.O., Higdon, D., Kennedy, M.C., Kottas, A., Paulo, R., Sacks, J., Cafeo, J.A., Cavendish, J., Lin, C.H. and Tu, J. (2002) A Framework for Validation of Computer Models, Technical Report 128, NISS.
9. Beck, M.B. (1987) 'Water quality modeling: a review of the analysis of uncertainty', Water Resources Research, Vol. 23, No. 8, pp. 1393-1442.
10. Berger, J.O. (1985) Statistical Decision Theory and Bayesian Analysis, Springer-Verlag, New York.
11. Berger, J.O. and Delampady, M. (1987) 'Testing precise hypotheses', Statistical Science, Vol. 2, pp.317-352.
12. Berger, J.O. and Pericchi, L.R. (1996) 'The intrinsic Bayes factor for model selection and prediction', J. Amer. Statist. Assoc., Vol. 91, pp.109-122.
13. Box, G.E.P. and Tiao, G.C. (1992) Bayesian Inference in Statistical analysis, John Wiley & Sons, New York.
14. Carlin, B.P. and Louis, T.A. (2000) Bayes and Empirical Bayes Methods for Data Analysis, Chapman & Hall/ CRC, New York.
15. Defense Modeling and Simulation Office (1996) Verification, Validation, and Accreditation (VV&A) Recommended Practices Guide, Office of the Director of Defense Research and Engg, www.dmso.mil/docslib, Alexandria, VA, April.
16. Ghanem, R. and Spanos, P.D. (1991) Stochastic Finite Elements: A Spectral Approach, Springer-Verlag, New York.
17. Hasselman, T.K. and Chrostowski, J.D. (1997) 'Effects of product and experimental variability on model verification of automobile structures', Proceedings of the 15th International Modal Analysis Conference, Orlando, FL, February.
18. Hasselman, T.K. and Wathugala, G.W. (2002) 'A hierarchical approach for model validation and uncertainty quantification', Proceedings of Fifth World Congress on Computational Mechanics (WCCM V), Vienna, Austria, July.
19. Henrysson, H.F. (2001) Fatigue Life Prediction of Spot Welded Joints: Experiment and Life Prediction, PhD Thesis, Chalmers University of Technology, Sweden.
20. Hills, R.G. and Leslie, I.H. (2003) Statistical Validation of Engineering and Scientific Models: Validation Experiments to Application, Report No. SAND2003-0706, Sandia National Laboratories, Albuquerque, NM.
21. Hills, R.G. and Trucano, T.G. (1999) Statistical Validation of Engineering and Scientific Models: Background, Report No. SAND99-1256, Sandia National Laboratories, Albuquerque, NM.
22. Huh, H. and Kang, W.J. (1997) 'Eletro-thermal analysis of the electric resistance spot welding process by a 3D finite element method', J. of Material Processing Technology, Vol. 63, Nos. 1-3, pp.672-677.
23. Hwang, J.T., Casella, G., Robert, C., Wells, M.T. and Farrell, R.H. (1992) 'Estimation of accuracy in testing', Ann. Statist., Vol. 20, No. 1, pp. 490-509.
24. Jeffreys, H. (1961) Theory of Probability, 3rd ed., Oxford University Press, London.
25. Johnson, D.H. (1999) 'On the insignificance of statistical hypothesis testing', J. Wildlife Manage, Vol. 63, pp.763-772.
26. Jolliffe, I.T. (1986) Principal Component Analysis, Springer-Verlag, New York.
27. Leonard, T. and Hsu, J.S.J. (1999) Bayesian Methods: An Analysis for Statisticians and Interdisciplinary Researchers, Cambridge University Press, Cambridge.
28. Liu, Y. and Mahadevan, S. (2005) 'Probabilistic fatigue life prediction of multidirectional composite laminates', Composite Structures, Vol. 69, No. 1, pp.11-19.
29. Mandell J.F. and Samborsky, D.D. (2003) 'DOE/MSU Composite Materials Fatigue Database: Test Methods, Materials, and Analysis, Sandia Technical report, Sandia National Laboratories, Albuquerque, NM, February.
30. Oba, S., Sato, M.A., Takemasa, I., Monden, M., Matsubara, K.I. and Ishii, S. (2003) 'A bayesian missing value estimation method', Bio informatics, Vol. 19, No. 6, pp.2088-2096.
31. Oberkampf, W.L. and Trucano T.G. (2002) 'Verification and validation in computational fluid dynamics', Progress in Aerospace Sciences, Vol. 38, No. 3, pp.209-272.
32. Oja, E. (1983) Subspace Methods of Pattern Recognition, New York, John Wiley.
33. Pawitan, Y. (2001) In All Likelihood: Statistical Modeling and Inference using Likelihood, Oxford Science Publications, New York.
34. Radaj, D., Zheng, Z. and Moehrmann, W. (1990) 'Local stress parameter at the spot weld of various specimens', J. of Engg Fracture Mech., Vol. 37, No. 5, pp.993-951.
35. Rebba, R., Mahadevan, S. and Huang, S. (2004) 'Validation and error estimation of computational models', Proceedings of Fourth International Conference on Sensitivity Analysis of Model Output (SAMO), Santa Fe, NM, March.
36. Roache, P.J. (2002) 'Recent contributions to verification and validation methodology', Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna, Austria, July.
37. Sacks, J., Rouphail, N.M., Park, B.B. and Thakuriah, P. (2000) Statistically-Based Validation of Computer Simulation Models in Traffic Operations and Management, Technical Report, NISS, www.niss.org/ downloadabletechreports.html.
38. Singhal, A. and Seborg, D.E. (2001) 'Matching patterns from historical data using PCA and distance similarity factors', Proceedings of the American Control Conference, Arlington, VA.
39. Strehl, A. (2002) Relationship-Based Clustering and Cluster Ensembles for High-Dimensional Data Mining, PhD Thesis, The University of Texas at Austin.
40. Thacker, B.H. (2003) 'The role of non-determinism in verification and validation of computational solid mechanics models', Reliability & Robust Design in Automotive Engineering, SP-1736, Proc. SAE 2003 World Congress & Exposition, SAE International Paper 2003-01-1353, Detroit, MI, March.
41. Thacker, B.H. and Huyse, L.J. (2002) 'Role of non-determinism in validation of computational mechanics models', Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna, Austria, July.
42. Timm, N.H. (2002) Applied Multivariate Analysis, Springer-Verlag, New York.
43. Tipping, M.E. and Bishop, C.M. (1999) 'Probabilistic principal component analysis', J. of the Royal Statistical Society, Series B 21, Vol. 3, pp.611-622.
44. Trucano, T.G. (2000) 'Aspects of ASCI code verification and validation', Presented at Quality Fourm 2000, Sponsored by the Department of Energy, Santa Fe, NM, April.
45. Tsang, C.F. (1989) 'A broad view of model validation', Proceedings of the Symposium on Safety Assessment of Radioactive Waste Repositories, Paris, France, pp.707-716.
46. Urbina, A., Paez, T.L., Hasselman, T.K., Wathugala, G.W. and Yap, K. (2003) 'Assessment of model accuracy relative to stochastic system behavior', Proceedings of 44th AIAA Structures, Structural Dynamics, Materials Conference, 7-10 April, Norfolk, VA.
47. Van Paepegem, W. and Degrieck, J. (2000) 'Numerical modeling of fatigue degradation of fibre-reinforced composite materials', Proceedings of the Fifth International Conference on Computational Structures Technology, Volume F: Computational Techniques for Materials, Composites and Composite Structures, Leuven, Belgium, September, Civil-Comp Press, pp.319-326.
48. Wentzell, P.D., Andrews, D.T., Hamilton, D.C., Faber, K. and Kowalski, B.R. (1997) 'Maximum likelihood principal component analysis', J. Chemomet., Vol. 11, pp.339-366.
49. Zellner, A. (1987) 'Comment', Statistical Science, Vol. 2, pp.339-341.
50. Zhang, R. and Mahadevan, S. (2003) 'Bayesian methodology for reliability model acceptance', Reliability Engg. and System Safety, Vol. 80, No. 1, pp.95-103.