Modelling strong seismic ground motion: Three-dimensional loading path versus wavefield polarization

Geophysical Journal International

Volumn 190, Issue 3, 2012, Pages 1607-1624

  Santisi d'Avila, Maria Paola ^a   Lenti, Luca ^b   Semblat, Jean François ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b UNIVERSITÉ PARIS EST   (France)

Author keywords

Earthquake ground motions; Site effects; Wave propagation

Indexed keywords

CYCLIC PLASTICITY MODELS; DYNAMIC PROPERTY; EARTHQUAKE GROUND MOTIONS; ENERGY DISSIPATION RATE; FREE SURFACES; FREQUENCY CONTENTS; HYSTERETIC BEHAVIOUR; IMPEDANCE CONTRAST; IN-DEPTH PROFILE; INCIDENT WAVES; INPUT MOTIONS; LOADING PATH; MODULUS REDUCTION; MOTION COMPONENTS; MULTI-SURFACE; MULTIAXIAL STRESS; MULTILAYERED SOIL; NONLINEAR BEHAVIOURS; NONLINEAR CONSTITUTIVE RELATION; NONLINEAR EFFECT; PARAMETRIC STUDY; SEISMIC GROUND MOTIONS; SEISMIC MOTIONS; SITE EFFECTS; SOIL COLUMN; SOIL PROFILES; SOIL STIFFNESS; SOIL STRENGTH; STRESS AND STRAIN; STRESS-STRAIN HYSTERESIS LOOPS; SURFICIAL SOILS; THREE COMPONENT; TIME DOMAIN; TIME HISTORY; WAVE AMPLIFICATION; WAVEFIELDS;

ACCIDENTS; EARTHQUAKE RESISTANCE; ENERGY DISSIPATION; FINITE ELEMENT METHOD; POLARIZATION; SEISMIC RESPONSE; SEISMIC WAVES; SOILS; STRESS ANALYSIS; THREE DIMENSIONAL; WAVE PROPAGATION;

LOADING;

EARTHQUAKE; FINITE ELEMENT METHOD; GROUND MOTION; NUMERICAL MODEL; SEISMIC RESPONSE; SEISMIC WAVE; SITE EFFECT; SOIL DYNAMICS; STRONG MOTION; WAVE PROPAGATION;

EID: 84865294066     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2012.05599.x     Document Type: Article

References (56)

1. Bardet, J.P., Ichii, K. & Lin, C.H., 2000. EERA: A Computer Program for Equivalent-linear Earthquake site Response Analyses of Layered Soil Deposits, University of Southern California, CA
2. Bardet, J.P. & Tobita, T., 2001. NERA: A Computer Program for Nonlinear Earthquake site Response Analyses of Layered Soil Deposits, University of Southern California, CA
3. Batoz, J.L. & Dhatt, G., 1990. Modélisation des Structures par Éléments Finis, Vol. 1, Hermes -, Paris
4. Beresnev, I.A. & Wen, K.L., 1996. Nonlinear soil response: a reality?, Bull. seism. Soc. Am., 86(6), 1964-1978.
5. Bertotti, G. & Mayergoyz, I., 2006. The Science of Hysteresis: Mathematical Modeling and Applications, Elsevier, Amsterdam
6. Bonilla, L.F., 2000. Computation of linear and nonlinear site response for near field ground motion, PhD thesis, University of California, Santa Barbara, CA
7. Boore, D.M. & Joyner, W.B., 1997. Site amplifications for generic rock sites, Bull. seism. Soc. Am., 87(2), 327-341.
8. Chen, W.F. & Baladi, G.Y., 1985. Soil Plasticity: Theory and Implementation, Elsevier Science Publishers, New York, NY
9. Chen, W.F. & Mizuno, E., 1990. Nonlinear Analysis in Soil Mechanics: Theory and Implementation, Elsevier Science Publishers, Amsterdam
10. Cook, R.D., Malkus, D.S., Plesha, M.E. & Witt, R.J., 2002. Concepts and Applications of Finite Element Analysis, 4th edn, John Wiley & Sons, New York, NY
11. Cotton, F., Scherbaum, F., Bommer, J.J. & Bungum, H., 2006. Criteria for selecting and adjusting ground-motion models for specific target regions: application to Central Europe and rock sites, J. Seismol., 10, 137-156.
12. Crisfield, M.A., 1991. Non-Linear Finite Element Analysis of Solids and Structures, Vol. 1, John Wiley & Sons, Chichester
13. Delépine, N., Bonnet, G., Lenti, L. & Semblat, J.F., 2009. Nonlinear viscoelastic wave propagation: an extension of Nearly Constant Attenuation models, J. Eng. Mech., 135(11), 1305-1314.
14. Fahey, M., 1992. Shear modulus of cohesionless soil: variation with stress and strain level, Can. Geotech. J., 29, 157-161.
15. Finn, W.D.L., 1982. Fundamental aspects of response of Tailing Dams to earthquakes, in Dynamic Stability of Tailing Dams, ASCE National Convention, New Orleans, LA
16. Fung, Y.C., 1965. Foundation of Soil Mechanics, Prentice Hall, Englewood Cliffs, NJ
17. Hardin, B.O. & Drnevich, V.P., 1972a. Shear modulus and damping in soil: measurement and parameter effects, J. Soil Mech. Found. Div., 98, 603-624.
18. Hardin, B.O. & Drnevich, V.P., 1972b. Shear modulus and damping in soil: design equations and curves, J. Soil Mech. Found. Div., 98, 667-692.
19. Hartzell, S., Bonilla, L.F. & Williams, R.A., 2004. Prediction of nonlinear soil effects, Bull. seism. Soc. Am., 94(5), 1609-1629.
20. Hughes, T.J.R., 1987. The Finite Element Method-Linear Static and Dynamic Finite Element Analysis, Prentice Hall, Englewood Cliffs, NJ
21. Iai, S., Matsunaga, Y. & Kameoka, T., 1990a. Strain space plasticity model for cyclic mobility, Rep. Port Harbour Res. Inst., 29(4), 27-56.
22. Iai, S., Matsunaga, Y. & Kameoka, T., 1990b. Parameter identification for cyclic mobility model, Rep. Port Harbour Res. Inst., 29(4), 57-83.
23. Ishihara, K., 1996. Soil Behaviour in Earthquake Geotechnics, Clarenton Press, Oxford
24. Ishihara, K. & Towhata, I., 1982. Dynamic response analysis of level ground based on the effective stress method, in Soil Mechanics-Transient and Cyclic Loads: Constitutive Relations and Numerical Treatment, pp. 133-172, eds Pande, G.N. & Zienkiewicz, O.C., John Wiley & Sons, New York, NY
25. Iwan, W.D., 1967. On a class of models for the yielding behavior of continuous and composite systems, J. appl. Mech., 34, 612-617.
26. Joyner, W., 1975. A method for calculating nonlinear seismic response in two dimensions, Bull. seism. Soc. Am., 65(5), 1315-1336.
27. Joyner, W.B. & Chen, A.T.F., 1975. Calculation of nonlinear ground response in earthquakes, Bull. seism. Soc. Am., 65(5), 1315-1336.
28. Joyner, W.B., Warrick, R.E. & Fumal, T.E., 1981. The effect of quaternary alluvium on strong ground motion in the Coyote Lake, California, earthquake of 1979, Bull. seism. Soc. Am., 71(4), 1333-1349.
29. Kausel, E. & Assimaki, D., 2002. Seismic simulation of inelastic soils via frequency-dependent moduli and damping, J. Eng. Mech., 128(1), 34-47.
30. Kimura, T., Takemura, J., Hirooka, A., Ito, K., Matsuda, T. & Toriihara, M., 1993. Numerical prediction for Model N, in Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, Vol. 1, pp. 141-152, eds Arulanandan, K. & Scott, R.F., A.A. Balkema, Rotterdam
31. Konder, R.L. & Zelasko, J.S., 1963. A hyperbolic stress-strain formulation for sands, in Proceedings of the 2nd Pan American Conference on Soil Mechanics and Foundations Engineering, Brazil, pp. 289-324.
32. Kramer, S.L., 1996. Geotechnical Earthquake Engineering, Prentice Hall, Upper Saddle River, NJ
33. Kuhlemeyer, R.L. & Lysmer, J., 1973. Finite element method accuracy for wave propagation problems, J. Soil Mech. Found. Div., 99(SM5), 421-427.
34. Lee, K.W. & Finn, W.D.L., 1978. DESRA-2: Dynamic Effective Stress Response Analysis of Soil Deposits with Energy Transmitting Boundary including Assessment of Liquefaction Potential, Soil Mechanics Series, University of British Columbia, Vancouver
35. Li, X.S., 1990. Free field response under multidirectional earthquake loading, PhD thesis, University of California, Davis, CA
36. Li, X. & Liao, Z., 1993. Dynamic skeleton curve of soil stress-strain relation under irregular cyclic loading, Earthq. Res. China, 7, 469-477.
37. Li, X.S., Wang, Z.L. & Shen, C.K., 1992. SUMDES: A Nonlinear Procedure for Response Analysis of Horizontally-Layered sites Subjected to Multi-Directional Earthquake Loading, University of California, Davis, CA
38. Mestat, P., 1993. Lois de comportement des géomatériaux et modélisation par la méthode des éléments finis, in Etudes et recherches des Laboratoires des Ponts et Chaussées, Geotechnical Series, GT52, Paris
39. Mestat, P., 1998. Modèles d'éléments finis et problèmes de convergence en comportement non linéaire, Bull. Lab. Ponts Chaussées, 214, 45-60.
40. Montans, F.J., 2000. Bounding surface plasticity model with extended Masing behavior, Comput. Meth. appl. Mech. Eng., 182, 135-162.
41. Oppenheim, A.V., Willsky, A.S. & Nawab, S.H., 1997. Signals and Systems, 2nd edn, Prentice Hall, Upper Saddle River, NJ
42. Phillips, C. & Hashash, Y.M.A., 2009. Damping formulation for nonlinear 1D site response analyses, Soil Dyn. Earthq. Eng., 29(7), 1143-1158.
43. Prevost, J.H. & Popescu, R., 1996. Constitutive relations for soil materials, Electron. J. Geotech. Eng., 1, http://www.ejge.com/1996/Ppr9609/Abs9609.htm.
44. Pyke, R., 1979. Nonlinear model for irregular cyclic loadings, J. Geotech. Eng. Div., 105, 715-726.
45. Ramsamooj, D.V. & Alwash, A.J., 1997. Model prediction of cyclic response of soil, J. Geotech. Eng., 116, 1053-1072.
46. Reddy, J.N., 1993. An Introduction to the Finite Element Method, 2nd edn, McGraw Hill, Hightstown, NJ
47. Schnabel, P.B., Lysmer, J. & Seed, H.B., 1972. SHAKE: a computer program for earthquake response analysis of horizontally layered sites. Report UCB/EERC-72/12, Earthquake Engineering Research Center, University of California, Berkeley, CA
48. Segalman, D.J. & Starr, M.J., 2008. Inversion of Masing models via continuous Iwan systems, Int. J. Nonlinear Mech., 43, 74-80.
49. Semblat, J.F. & Brioist, J.J., 2000. Efficiency of higher order finite elements for the analysis of seismic wave propagation, J. Sound Vibrat., 231(2), 460-467.
50. Semblat, J.F. & Pecker, A., 2009. Waves and Vibrations in Soils, IUSS Press, Pavia
51. Towhata, I. & Ishihara, K., 1985. Modeling soil behaviour under principal axes rotation, in Proceedings of the Fifth International Conference on Numerical Methods in Geomechanics, Nagoya, pp. 523-530.
52. Vucetic, M., 1990. Normalized behaviour of clay under irregular cyclic loading, Can. Geothech. J., 27(1), 29-46.
53. Wang, Z.L., Dafalias, Y.F. & Shen, C.K., 1990. Bounding surface hypoelasticity model for sand, J. Eng. Mech., 116(5), 983-1001.
54. Yoshida, N. & Iai, S., 1998. Nonlinear site response and its evaluation and prediction, in Proceedings of the Second International Symposium on the Effects of Surface Geology on Seismic Motion, Netherlands, Vol. 1, pp. 71-90.
55. Zienkiewicz, O.C. 1971. La Méthode des Eléments Finis appliquéà l'art de l'ingénieur, translation of G. Vouille (1973), Ediscience, France
56. Zienkiewicz, O.C., Leung, K.H., Hinton, E. & Chang, C.T., 1982. Liquefaction and permanent deformation under dynamic conditions-numerical solution and constitutive relations, in Soil Mechanics-Transient and Cyclic Loads: Constitutive Relations and Numerical Treatment, pp. 71-104, eds Pande, G.N. & Zienkiewicz, O.C., John Wiley & Sons, Chichester