Numerical modeling of stress-strain behavior of sand under cyclic loading

Engineering Geology

Volumn 116, Issue 1-2, 2010, Pages 53-72

  Shahnazari, Habib ^a   Dehnavi, Yasser ^a   Alavi, Amir Hossein ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Cyclic stress strain relationship; Damping ratio; Formulation; Multi expression programming; Shear modulus

Indexed keywords

CYCLIC STRESS-STRAIN; DAMPING RATIO; FORMULATION; MULTI EXPRESSION PROGRAMMING; SHEAR MODULUS;

CYCLIC LOADS; DAMPING; ELASTIC MODULI; GENETIC PROGRAMMING; GEOLOGIC MODELS; HYSTERESIS; PLASTIC DEFORMATION; SHEAR STRAIN; SOIL TESTING; SOILS; STRESS-STRAIN CURVES;

LOADING;

CYCLIC LOADING; DAMPING; HYSTERESIS; NUMERICAL MODEL; SAND; SHEAR MODULUS; SOIL MECHANICS; STRESS-STRAIN RELATIONSHIP;

EID: 77957786105     PISSN: 00137952     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enggeo.2010.07.007     Document Type: Article

References (55)

1. Alavi, A. H., Gandomi, A. H., in press Energy-Based Numerical Correlations for Soil Liquefaction Assessment. Computers and Geotechnics, doi:10.1016/j.compgeo.2010.03.006.
2. Alavi A.H., Gandomi A.H., Heshmati A.A.R. Discussion on soft computing approach for real-time estimation of missing wave heights. Ocean Engineering 2010, 37(13):1239-1240.
3. Alavi A.H., Gandomi A.H., Sahab M.G., Gandomi M. Multi expression programming: a new approach to formulation of soil classification. Engineering with Computers 2010, 26(2):111-118.
4. Archuleta R.J., Bonilla L.F., Lavalle'e D. Nonlinear site response using generalized Masing rules coupled with pore pressure. Proceedings of the OECD-NRC Workshop on Engineering Characterization of Seismic Input. Brookhaven National Laboratory, New York 1999.
5. Banimahd M., Yasrobi S.S., Woodward P.K. Artificial neural network for stress-strain behavior of sandy soils: knowledge based verification. Computers and Geotechnics 2005, 32(5):377-386.
6. Banzhaf W., Nordin P., Keller R., Francone F.D. Genetic programming - an introduction. On the Automatic Evolution of Computer Programs and its Application 1998, dpunkt/Morgan Kaufmann, Heidelberg/San Francisco.
7. Bardet J.P. Scaled memory model for cyclic behavior of soils. Journal of Geotechnical and Geoenvironmental Engineering ASCE 1995, 121(11):766-775.
8. Basheer I.A. Selection of methodology for neural network modeling of constitutive hystereses behavior of soils. Computer-Aided Civil And Infrastructure Engineering 2000, 15(6):440-458.
9. Basheer I.A. Stress-strain behavior of geomaterials in loading reversal simulated by time-delay neural networks. Journal of Materials in Civil Engineering ASCE 2002, 14(3):270-273.
10. Baykasoglu A., Gullub H., Canakcidotless; H., Ozbakidotless;r L. Prediction of compressive and tensile strength of limestone via genetic programming. Expert Systems with Applications 2008, 35(1-2):111-123.
11. Bazant Z.P., Krizek R.J. Endochronic constitutive law for liquefaction of sand. Journal of the Engineering Mechanics Division ASCE 1976, 102(2):225-238.
12. Cabalar A.F., Cevik A. Genetic programming-based attenuation relationship, an application of recent earthquakes in Turkey. Computers & Geosciences 2009, 35(9):1884-1896.
13. Cabalar A.F., Cevik A. Modelling damping ratio and shear modulus of sand-mica mixtures using neural networks. Engineering Geology 2009, 104(1-2):31-40.
14. Chen W.F. Constitutive equations for engineering materials, Vol. 2: Plasticity and modeling 1994, Elsevier, New York.
15. Chen W.F., Saleeb A.F. Constitutive equations for engineering materials, Vol. 1: Plasticity and modeling 1994, Elsevier, New York.
16. Cuellar V., Silver M.L., Krizek R.J., Bazant Z.P. Densification and hysteresis of sand under cyclic shear. Journal of Geotechnical Engineering ASCE 1977, 103(5):399-416.
17. Dobry R., Vucetic M. State-of-the-art report: dynamic properties and response of soft clay deposits. Proceedings, International Symposium on Geotechnical Engineering of Soft, Mexico City, 2 1987, 51-87.
18. Duncan J.M., Chang C.Y. Nonlinear analysis of stress and strain in soils. Journal of the Soil Mechanics and Foundations Division ASCE 1970, 96(SM5):1629-1653.
19. Gandomi A.H., Alavi A.H., Sahab M.G. New Formulation for Compressive Strength of CFRP Confined Concrete Cylinders Using Linear Genetic Programming. Materials and Structures 2010, 43(7):963-983.
20. Gandomi, A.H., Alavi, A.H., Mirzahosseini, M.R., Moghadas Nejad, F., in press. Nonlinear Genetic-Based Models for Prediction of Flow Number of Asphalt Mixtures. Journal of Materials in Civil Engineering ASCE.
21. Hardin B.O., Drnevich V.P. Shear modulus and damping in soils: design equations and curves. Journal of Geotechnical Engineering ASCE 1972, 98:667-692.
22. Idriss I.M., Dobry R., Doyle E.H., Singh R.D. Nonlinear behaviour of soft clays during cyclic loading conditions. Journal of Geotechnical Engineering ASCE 1978, 104:1427-1447.
23. Ishihara K. Soil Behaviour in Earthquake Geotechnics 1996, Clarendon Press, Oxford.
24. Iwan W.D. On a class of models for the yielding behavior of continuous and composite systems. Journal of Applied Mechanics ASME 1967, 34:612-617.
25. Jennings P.C. Periodic response of a general yielding structure. Journal of the Engineering Mechanics Division ASCE 1964, 90(EM2):131-166.
26. Kolda T.G., Lewis R.M., Torczon V. Optimization by direct search: new perspectives on some classical and modern methods. SIAM Review 2003, 45:385-482.
27. Kondner R.L. Hyperbolic stress-strain response: cohesive soils. Journal of the Soil Mechanics and Foundations Division ASCE 1963, 89(SM1):115-143.
28. Kondner R.L., Zelasko J.S. A hyperbolic stress-strain formulation for sands. Proceedings of 2nd Pan-American Conference Soil Mechanics and Foundation Engineering 1963, 289-324.
29. Koza J. Genetic programming, on the programming of computers by means of natural selection 1992, MIT Press, Cambridge (MA).
30. Kramer S.L. Geotechnical Earthquake Engineering 1996, Prentice-Hall, Upper Saddle River, NJ.
31. Kulhawy F.H., Duncan J.M. Stresses and movements of Oroville dam. Journal of the Soil Mechanics and Foundations Division ASCE 1972, 98(SM7):653-665.
32. Masing G. Eiganspannungen und verfestigung beim messing. Proceedings of the Second International Conference of Applied Mechanics 1926, 332-335.
33. MathWorks MATLAB the language of technical computing. Version 7.4. USA: Natick, MA 2007.
34. Muravskii G. On description of hysteretic behaviour of materials. International Journal of Solids and Structures 2005, 42:2625-2644.
35. Nam N.H., Koseki J. Modelling of stress-strain relationship of toyoura sand in large cyclic torsional loading. Proceedings of Soil Stress-Strain Behavior: Measurement, Modeling and Analysis Geotechnical Symposium 2006, Springer, Italy.
36. Okura D.V., Ansal A. Stiffness degradation of natural fine grained soils during cyclic loading. Soil Dynamics and Earthquake Engineering 2007, 27(9):843-854.
37. Oltean M. Multi Expression Programming source code 2004, Available at: http:// www.mep.cs.ubbcluj.ro/.
38. Oltean M. Multi-expression Programming. Technical Report, Babeş-Bolyai University, Cluj-Napoca, Romania 2006.
39. Oltean M., Dumitrescu D. Multi expression programming. Technical report, UBB-01-2002, Babeş-Bolyai University, Cluj-Napoca, Romania 2002.
40. Oltean M., Grosşan C. A comparison of several linear genetic programming techniques. Advances in Complex Systems 2003, 14(4):1-29.
41. Osinov V.A. Cyclic shearing and liquefaction of soil under irregular loading: an incremental model for the dynamic earthquake induced deformation. Soil Dynamics and Earthquake Engineering 2003, 23(7):535-548.
42. Pradhan, T.B.S., 1989. The behavior of sand subjected to monotonic and cyclic loadings. PhD thesis, Kyoto Univiersity, Japan.
43. Purzin A.M., Shiran A. Effects of the constitutive relationship on seismic response of soils. Part I. Constitutive modeling of cyclic behavior of soils. Soil Dynamics and Earthquake Engineering 2000, 19:305-318.
44. Pyke R.M. Nonlinear soil models for irregular cyclic loadings. Journal of Geotechnical Engineering ASCE 1979, 105(6):715-726.
45. Ramberg W., Osgood W.T. Description of stress-strain curves by three parameters. Technical note 902, National Advisory Committee for Aeronautics 1943.
46. Rezania M., Javadi A.A. A new genetic programming model for predicting settlement of shallow foundations. Canadian Geotechnical Journal 2007, 44(12):1462-1473.
47. Richart F.E. Some effects of dynamic soil properties on soil structure interaction. Journal of Geotechnical Engineering ASCE 1975, 101:1193-1240.
48. Sagaseta C., Cuellar V., Pastor M. Cyclic Loading. Proceedings of 10th ECSMFE, Florence. 3 1991, 981-999.
49. Shahnazari H., Towhata I. Torsion shear tests on cyclic stress-dilatancy relationship of sand. Soils and Foundations 2002, 42(1):105-109.
50. Streeter V.L., Wylie E.B., Richart F.E. Soil motion computations by characteristics method. Journal of Geotechnical Engineering ASCE 1975, 100:247-263.
51. Tatsuoka F., Shibuya S. Modelling of non-linear stress-train relations of soils and rocks - Part 2: New equation. Seisan-kenkyu, J. IISe University of Tokyo 1991, 43(10):435-437.
52. Tatsuoka F., Masuda T., Siddiquee M.S.A., Koseki J. Modeling the stress-strain relations of sand in cyclic plane strain loading. Journal of Geotechnical and Geoenvironmental Engineering ASCE 2003, 129(6):450-467.
53. Thiers G.R., Seed H.B. Cyclic stress-strain characteristics of clay. Journal of Soil Mechanics and Foundation Engineering Division ASCE 1968, 94(2):555-569.
54. Torczon V. On the convergence of pattern search algorithms. SIAM Journal on Optimization 1997, 7:1-25.
55. Zhang J., Andrus R.D., Juang C.H. Normalized shear modulus and material damping ratio relationships. Journal of Geotechnical and Geoenvironmental Engineering ASCE 2005, 131(4):453-464.