Application of unconstrained optimization and sensitivity analysis to calibration of a soil constitutive model

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 27, Issue 15, 2003, Pages 1277-1297

  Yang, Zhaohui ^a   Elgamal, Ahmed ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Constitutive modelling; Liquefaction; Optimization; Sensitivity; Soil plasticity

Indexed keywords

FINITE ELEMENT METHOD; OPTIMIZATION; PLASTICITY; SAND; SENSITIVITY ANALYSIS; SHEAR DEFORMATION; SOIL LIQUEFACTION;

SHEAR VOLUME COUPLING EFFECTS; SOIL CONSTITUTIVE MODELS;

SOILS;

CALIBRATION; CENTRIFUGAL MODEL TEST; CONSTITUTIVE EQUATION; LIQUEFACTION; MODELING; PARAMETERIZATION; SENSITIVITY ANALYSIS; SOIL MECHANICS;

EID: 0347478132     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.320     Document Type: Article

References (34)

1. DeNatale JS. On the calibration of constitutive models by multivariate optimization. Ph.D. Dissertation, University of California, Davis, 1983.
2. Abifadel N, Klisinski M, Sture S, Ko HY. Unconstrained optimization for the calibration of an elasto-plastic constitutive model. Report, Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder: U.S. Army Engineer Waterways Experiment Station, Contract DACA 39-83-C-0012, 1988; 65.
3. Zeghal M, Abdel-Ghaffar AM. Identification of the behavior of earth dams using seismic records. Report No. CRECE 9001. Center for Research in Earthquake Engineering and Construction, University of Southern California, September 1989.
4. Anandarajah A, Agarwal D. Computer-aided calibration of a soil plasticity model. International Journal for Numerical and Analytical Methods in Geomechanics 1991; 15(12):835-856.
5. Klisinski M, Abifadel N, Runesson K, Sture S. Modelling of the behavior of dry sand by an elasto-plastic 'Fuzzy Set' model. Computers and Geotechnics 1991; 11:229-261.
6. Mattsson H, Klisinski M, Axelsson K. Optimization routine for identification of model parameters in soil plasticity. International Journal for Numerical and Analytical Methods in Geomechanics 2001; 25(5):435-472.
7. Zeghal M, Oskay C. A local identification technique for geotechnical and geophysical systems. 2003; International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27(11):967-987.
8. Rosenbrock HH. An automatic method for finding the greatest or least value of a function. Computer Journal 1960; 3:175-184.
9. Powell MJD. An efficient method for finding the minimum of a function of several variables without calculating derivatives. Computer Journal 1964; 7:155-162.
10. Fletcher R. Practical Methods of Optimization-Volume I: Unconstrained Optimization. Wiley: Chichester, UK. 1980.
11. Fletcher R. Practical Methods of Optimization-Volume II: Constrained Optimization. Wiley: Chichester, UK. 1981.
12. Gill PE, Murray W, Wright MH. Practical Optimization. Academic Press: London, 1981.
13. Dennis JE, Schnabel RB. Numerical Methods for Unconstrained Optimization and Non-linear Equations. Prentice-Hall: Englewood Cliffs, NJ, 1983.
14. Zeghal M. System identification of the nonlinear seismic response of earth dams. Ph.D. Thesis, Princeton University, NJ, 1990.
15. Elgamal AW, Zeghal M, Taboada VM, Dobry R. Analysis of site liquefaction and lateral spreading using centrifuge model tests. Soils and Foundations 1996; 36(2):111-121.
16. Zeghal M, Abdel-Ghaffar A-M. Evaluation of the nonlinear seismic response of earth dams: I. Pattern recognition. 2003; in review.
17. Zeghal M, Abdel-Ghaffar A-M. Evaluation of the nonlinear seismic response of earth dams: II. System identification. 2003; in review.
18. Elgamal A, Yang Z, Parra E. Computational modeling of cyclic mobility and post-liquefaction site response. Soil Dynamics and Earthquake Engineering 2002; 22(4):259-271.
19. Yang Z, Elgamal A, Parra E. A computational model for cyclic mobility and associated shear deformation. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2003; 129(12).
20. Arulmoli K, Muraleetharan KK, Hossain MM, Fruth LS. VELACS: verification of liquefaction analyses by centrifuge studies. Laboratory Testing Program, Soil Data Report, The Earth Technology Corporation. Project No. 90-0562, Irvine, CA, 1992.
21. Dobry R, Taboada VM. Possible Lessons from VELACS Model No. 2 Results. Proceedings, the International Conference on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems. Arulanandan K, Scott RF (eds), vol. 2. Balkema, Rotterdam, 1994: 1341-1352.
22. Bard Y. Nonlinear Parameter Estimation. Academic Press: New York, 1974.
23. Prevost JH. A simple plasticity theory for frictional cohesionless soils. Soil Dynamics and Earthquake Engineering 1985; 4(1):9-17.
24. Parra E. Numerical modeling of liquefaction and lateral ground deformation including cyclic mobility and dilation response in soil systems. Ph.D. Thesis, Department of Civil Engineering, Rensselaer Polytechnic Institute, Troy, NY, 1996.
25. Yang Z. Numerical modeling of earthquake site response including dilation and liquefaction. Ph.D. Dissertation, Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, NY, 2000.
26. Hill R. The Mathematical Theory of Plasticity. Oxford University Press: London, 1950.
27. Kondner RL. Hyperbolic stress-strain response: cohesive soils. Journal of Soil Mechanics and Foundations Division, ASCE 1963; 89(SM1):115-143.
28. Duncan JM, Chang CY. Nonlinear analysis of stress and strain in soils. Journal of Soil Mechanics and Foundations Division, ASCE 1970; 96(SM5):1629-1653.
29. Chen WF, Mizuno E. 1990. Nonlinear Analysis in Soil Mechanics, Theory and Implementation. Elsevier: New York, NY.
30. Ishihara K, Tatsuoka F, Yasuda S. Undrained deformation and liquefaction of sand under cyclic stresses. Soils and Foundations 1975; 15(1):29-44.
31. Seed HB, Idriss IM. Soil moduli and damping factors for dynamic response analyses. Report EERC 70-10. Earthquake Engineering Research Center, University of California, Berkeley, 1970.
32. Taboada VM. Centrifuge modeling of earthquake-induced lateral spreading in sand using a laminar box. Ph.D. Thesis, Rensselaer Polytechnic Institute, Troy, NY, 1995.
33. Yang Z, Elgamal A. Influence of permeability on liquefaction-induced shear deformation. Journal of Engineering Mechanics. ASCE 2000; 128(7):720-729.
34. Gill PE, Murray W, Saunders M. SNOPT: An SOP algorithm for large-scale constrained optimization. Report NA 97-2, Department of Mathematics, University of California, San Diego, Report SOL 97-3, Department of EESOR, Stanford University, 1997.