Abstract
This paper, along with its companion paper, presents the importance of the adequate soil behaviour model to simulate earthquake site response analysis. An elastoplastic model taking into account the elementary necessary plastic mechanisms such as progressive friction mobilization, Coulomb type failure, critical state and dilatancy/contractance flow rule, is used. However, one of the obstacles in the use of elastoplastic models in the everyday design processes for evaluation of the seismic soil response is the difficulty in identifying their parameters. In this paper, a methodology to identify a coherent set of parameters of the elastoplastic model for a given type of soil is presented. The strategy behind the decision making process proposed here is based on the use of minimum physical and easily measurable properties of the soil to directly provide or indirectly assess the required model parameters.
Similar content being viewed by others
References
Anastasiadis JA, Pitilakis KD (1996) Shear modulus G o and damping of typical Greek soils at low strain amplitudes.Tech Chron Sci J TCG 16(3):9–18
Aubry D, Hujeux J-C, Lassoudire F, Meimon Y (1982) A double memory model with multiple mechanisms for cyclic soil behaviour. In: Proceedings of the International Symposium Num. Mod. Geomech, Balkema, pp 3–13
Aubry D, Modaressi A, Modaressi H (1990) A constitutive model for cyclic behaviour of interfaces with variable dilatancy. Comput Geotechnics 9(1/2):47–58
Bardet J-P (1997) Experimental soil mechanics. Prentice Hall, Upper Saddle River, NJ
Been K, Jefferies MG (1985) A state parameter for sands. Géotechnique 35(2):99–112
Biarez J, Favre J-L (1972) Corrélations de paramètres en mécanique des sols. Table ronde nationale, Ecole Centrale Paris
Biarez J, Hicher P-Y (1994) Elementary mechanics of soil behaviour, saturated and remolded soils. Balkema, Amsterdam, The Netherlands
Darendeli MB (2001) Development of a new family of normalized modulus reduction and material damping curves. Ph.D. Dissertation, University of Texas at Austin, USA
Dickenson SE, Seed RB (1996) Non-linear dynamic response of soft and deep cohesive soil deposits. In: Proceedings of the international workshop on site response subjected to strong earthquake motions, vol 2. Yokosuka, Japan, pp 67–81
Dobry R, Ladd RS, Yokel FY, Chung RM, Powell D (1982) Prediction of pore water pressure buildup and liquefaction of sands during earthquakes by the cyclic strain method. Nat Bur Stand Build Sci Ser 138:11–49
Favre J-L (1980) Milieu continu et milieu discontinu: mesure statistique indirecte des paramètres rhéologiques et approche probabiliste de la sécurité. Thèse de docteur ès sciences, Univ. Pierre et Marie Curie, Paris VI, France
Ghaboussi J., Dikmen SU (1978) Liquefaction analysis of horizontally layered sands. J Geotechn Eng Div ASCE 104(nr GT3):341–356
Hardin BO (1978) The nature of stress-strain behavior for soils. In: Proceedings ASCE geotechnical engineering division. Specially conference on earthquake engineering and soil dynamics, vol.1 Pasadena, CA, pp 3–89
Hicher P.Y, Rahma A (1994) Micro-macro correlations for granular media. Application to the modelling of sands. Eur J Mechanics A/Solids 13(6):763–781
Hujeux J-C (1985) Une loi de comportement pour le chargement cyclique des sols. In: Davidovici V, (ed) Génie Parasismique. Presses ENPC, France, pp 278–302
Idriss IM (1991) Earthquake ground motions at soft soil sites. In: Prakash S (eds). Proceedings of the 2nd international conference on recent advances in geotechnical earthquake engineering and soil dynamics, vol 3. St. Louis, Missouri, pp 2265–2271
Ishibashi I, Zhang X (1993) Unified dynamic shear moduli and damping ratios of sand and clay. Soils Found 33(1):182–191
Ishihara K (1993) Liquefaction and flow failure during earthquakes. 33rd Rankine lecture. Géotechnique 43(3):351–415
Ishihara K, Tatsuoka F, Yasuda S (1975) Undrained deformation and liquefaction of sand under cyclic stresses. Soils Found 15(1):29–44
Iwasaki T, Tatsuoka F, Takagi Y (1978) Shear moduli of sands under cyclic torsional shear loading. Soils Found 18(1):39–56
Jamiolkowski M, Ladd CC, Germaine JT, Lancellotta R (1985) New developments in field and laboratory testing of soils. In: Proceedings of the 11th international conference on soil mechanics and foundations engineering, vol 1. San Francisco, CA, pp 57–154
Kallioglou P, Tika Th, Pitilakis K (1999) Dynamic characteristics of natural cohesive soils. In: Proceedings of the 2nd international conference on earthquake geotechnical engineering. Lisbon, Portugal
Kohata Y, Tatsuoka F, Wang L, Jiang GL, Hoque E, Kodaka T (1997) Modelling the non-linear deformation properties of stiff geomaterials. Symposium in print. Géotechnique 47(3):563–580
Kokusho T (1980) Cyclic triaxial test of dynamic soil properties for wide strain range. Soils Found 20(4):45–60
Kokusho T, Yoshida Y, Esashi Y (1982) Dynamic properties of soft clays for wide strain range. Soils Found 22(4):1–18
Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall, Upper Saddle River, NJ
Mellal A (1997) Analyse des effets du comportement non linéaire des sols sur le mouvement sismique. Thèse de doctorat, École Centrale Paris, France
Modaressi H, Foerster E (2000) CyberQuake. User’s manual, BRGM, France
Pande GN, Pietruszczak S, (1986) A critical look at constitutive models for soils. In: Dungar R, Studer JA (ed) Geomechanical modelling in engineering practice. Balkema AA, Rotterdam, The Netherlands, pp 369–395
Prévost J-H, Hoeg K (1975) Effective stress-strain strength model for soils. J Geotechnical Eng Div ASCE 101(nr GT3):259–278
Saim R (1997) Dès comportements repères des grains sans colle à un exemple de sol réel. Thèse de doctorat, École Centrale, Paris France
Santos JA (1999) Caracterização de solos através de ensaios dinâmicos e cíclicos de torção ; Aplicação ao estudo do comportamento de estacas sob acções horizontais estáticas e dinâmicas. Dissertação Doutor, Universidade Técnica de Lisboa, Instituto Superior Técnico, Portugal
Schofield AN, Wroth CP (1968) Critical state soil mechanics. McGraw-Hill, London
Seed HB, Idriss IM (1970) Soil moduli and damping factors for dynamic response analyses. University of California, Berkeley, CA, Report EERC-70-10, Earthquake Engineering Research Center
Seed HB, Wong RT, Idriss IM, Tokimatsu K (1986) Moduli and damping factors for dynamic analyses of cohesionless soils. J Geotechnical Eng ASCE 112(11):1016–1032
Sun JI, Golesorkhi R, Seed HB (1988) Dynamic moduli and damping ratios for cohesive soils. University of California, Berkeley, CA, EERC-88-15
Vucetic M (1994) Cyclic threshold shear strains in soils. J Geotechnical Eng ASCE 120(12):2208–2228
Vucetic M, Dobry R (1991) Effect of soil plasticity on cyclic response. J Geotechnical Eng ASCE 117(1):89–107
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lopez-Caballero, F., Razavi, A.MF. & Modaressi, H. Nonlinear numerical method for earthquake site response analysis I — elastoplastic cyclic model and parameter identification strategy. Bull Earthquake Eng 5, 303–323 (2007). https://doi.org/10.1007/s10518-007-9032-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-007-9032-7