Skip to main content
Top
Published in: Geotechnical and Geological Engineering 3/2008

01-06-2008 | Original Paper

Multi-surface Cyclic Plasticity Sand Model with Lode Angle Effect

Authors: Zhaohui Yang, Ahmed Elgamal

Published in: Geotechnical and Geological Engineering | Issue 3/2008

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A Drucker-Prager J 2 multi-surface-plasticity sand model is modified to employ the Lade-Duncan failure criterion as the yield function. This function includes the first and third stress invariants to account for the dependence of cyclic shear stress–strain behavior on confining pressure and the Lode angle. Related modifications to the flow rule and hardening rule are described. Dependence of dilatancy on confinement is also included. Salient features of the model performance are presented under general three-dimensional (3D) loading conditions, where the yield function provides a more accurate representation of nonlinear shear response. Dynamic response analyses of a mildly inclined infinite slope are performed to illustrate the influence of excitation direction on the accumulation of liquefaction-induced lateral ground deformation.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Abelev AV, Lade PV (2003) Effects of cross anisotropy on three-dimensional behavior of sand. I: stress–strain behavior and shear banding. J Eng Mech 129(2):160–166CrossRef Abelev AV, Lade PV (2003) Effects of cross anisotropy on three-dimensional behavior of sand. I: stress–strain behavior and shear banding. J Eng Mech 129(2):160–166CrossRef
go back to reference Abelev AV, Lade PV (2004) Characterization of failure in cross-anisotropic soils. J Eng Mech 130(5):599–606CrossRef Abelev AV, Lade PV (2004) Characterization of failure in cross-anisotropic soils. J Eng Mech 130(5):599–606CrossRef
go back to reference Anandarajah A, Dafalias YF (1986) Bounding surface plasticity III: application to anisotropic cohesive soils. J Eng Mech ASCE 112(12):1292–1318 Anandarajah A, Dafalias YF (1986) Bounding surface plasticity III: application to anisotropic cohesive soils. J Eng Mech ASCE 112(12):1292–1318
go back to reference Anandarajah A (1994) Procedures for elastoplastic liquefaction modeling of sands. J Eng Mech ASCE 120(7):1563–1587CrossRef Anandarajah A (1994) Procedures for elastoplastic liquefaction modeling of sands. J Eng Mech ASCE 120(7):1563–1587CrossRef
go back to reference Argyris JH, Faust G, Szimmat J, Warnke EP, Willam KJ (1974) Recent Developments in the finite element analysis of prestressed concrete reactor vessels. Nucl Eng Des 28:42–75CrossRef Argyris JH, Faust G, Szimmat J, Warnke EP, Willam KJ (1974) Recent Developments in the finite element analysis of prestressed concrete reactor vessels. Nucl Eng Des 28:42–75CrossRef
go back to reference Arulmoli K, Muraleetharan KK, Hossain MM, Fruth LS (1992) VELACS: Verification of liquefaction analyses by centrifuge studies, laboratory testing program, soil data report. Earth Technology Corp., Project No. 90-0562. Irvine, CA Arulmoli K, Muraleetharan KK, Hossain MM, Fruth LS (1992) VELACS: Verification of liquefaction analyses by centrifuge studies, laboratory testing program, soil data report. Earth Technology Corp., Project No. 90-0562. Irvine, CA
go back to reference Bishop AW (1966) The strength of soils as engineering materials. 6th Rankine Lecture, Geotechnique 16(20):91–130 Bishop AW (1966) The strength of soils as engineering materials. 6th Rankine Lecture, Geotechnique 16(20):91–130
go back to reference Boulanger RW, Seed RB (1995) Liquefaction of sand under bidirectional monotonic and cyclic loading. J Geotech Eng ASCE 121(12):870–878CrossRef Boulanger RW, Seed RB (1995) Liquefaction of sand under bidirectional monotonic and cyclic loading. J Geotech Eng ASCE 121(12):870–878CrossRef
go back to reference Chen WF (1982) Plasticity in reinforced concrete. McGraw-Hill Inc., New York Chen WF (1982) Plasticity in reinforced concrete. McGraw-Hill Inc., New York
go back to reference Chen WF, Mizuno E (1990) Nonlinear analysis in soil mechanics: theory and implementation. Elsevier Science Publisher, Netherlands Chen WF, Mizuno E (1990) Nonlinear analysis in soil mechanics: theory and implementation. Elsevier Science Publisher, Netherlands
go back to reference Cubrinovski M, Ishihara K (1998) Modeling of sand behavior based on state concept. Soils Found 38(3):115–127 Cubrinovski M, Ishihara K (1998) Modeling of sand behavior based on state concept. Soils Found 38(3):115–127
go back to reference Dafalias YF (1986) Bounding surface plasticity: I: mathematical foundation and hypoplasticity. J Eng Mech ASCE 112(9):966–987CrossRef Dafalias YF (1986) Bounding surface plasticity: I: mathematical foundation and hypoplasticity. J Eng Mech ASCE 112(9):966–987CrossRef
go back to reference Dafalias YF, Herrmann LR (1986) Bounding surface plasticity II: application to isotropic cohesive soils. J Eng Mech ASCE 112(12):1263–1291 Dafalias YF, Herrmann LR (1986) Bounding surface plasticity II: application to isotropic cohesive soils. J Eng Mech ASCE 112(12):1263–1291
go back to reference Dafalias YF, Manzari TM (2004) Simple plasticity sand model accounting for fabric change effects. J Geotech Geoenviron Eng ASCE 130(6):622–634 Dafalias YF, Manzari TM (2004) Simple plasticity sand model accounting for fabric change effects. J Geotech Geoenviron Eng ASCE 130(6):622–634
go back to reference Dafalias YF, Papadimitriou AG, Li XS (2004) Sand plasticity model accounting for inherent fabric anisotropy. J Eng Mech ASCE 130(11):1319–1333CrossRef Dafalias YF, Papadimitriou AG, Li XS (2004) Sand plasticity model accounting for inherent fabric anisotropy. J Eng Mech ASCE 130(11):1319–1333CrossRef
go back to reference Dobry R, Taboada VM (1994) Possible lessons from VELACS Model No. 2 results. In: Arulanandan K, Scott RF (eds) Proceedings, international conference on the verification of numerical procedures for the analysis of soil liquefaction problems, vol 2. Balkema, Rotterdam, 1341–1352 Dobry R, Taboada VM (1994) Possible lessons from VELACS Model No. 2 results. In: Arulanandan K, Scott RF (eds) Proceedings, international conference on the verification of numerical procedures for the analysis of soil liquefaction problems, vol 2. Balkema, Rotterdam, 1341–1352
go back to reference Elgamal A, Yang Z, Parra E, Ragheb A (2003) Modeling of cyclic mobility in saturated cohesionless soils. Int J Plast 19(6):883–905CrossRef Elgamal A, Yang Z, Parra E, Ragheb A (2003) Modeling of cyclic mobility in saturated cohesionless soils. Int J Plast 19(6):883–905CrossRef
go back to reference Gutta SK, Yamamuro JA, Lade PV (2003) Predictions of large three-dimensional stress reversals in sand. In: Proceedings of 16th ASCE engineering mechanics conference, July 16–18, University of Washington, Seattle, WA Gutta SK, Yamamuro JA, Lade PV (2003) Predictions of large three-dimensional stress reversals in sand. In: Proceedings of 16th ASCE engineering mechanics conference, July 16–18, University of Washington, Seattle, WA
go back to reference Ishihara K, Tatsuoka F, Yasuda S (1975) Undrained deformation and liquefaction of sand under cyclic stresses. Soils Found 15(1):29–44 Ishihara K, Tatsuoka F, Yasuda S (1975) Undrained deformation and liquefaction of sand under cyclic stresses. Soils Found 15(1):29–44
go back to reference Ishihara K, Yamazaki F (1980) Cyclic simple shear tests on saturated sands in multi-directional loading. Soils Found 20(1):45–59 Ishihara K, Yamazaki F (1980) Cyclic simple shear tests on saturated sands in multi-directional loading. Soils Found 20(1):45–59
go back to reference Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech ASME 34:612–617 Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech ASME 34:612–617
go back to reference Kaliakin VN, Muraleetharan KK, Dafalias YF, Herrmann LR, Shinde SB (1990) Foundation-response predictions below caisson-retained island. J Geotech Eng ASCE 116(9):1291–1308CrossRef Kaliakin VN, Muraleetharan KK, Dafalias YF, Herrmann LR, Shinde SB (1990) Foundation-response predictions below caisson-retained island. J Geotech Eng ASCE 116(9):1291–1308CrossRef
go back to reference Kammerer A, Pestana J, Seed R (2002) Undrained response of Monterey 0/30 sand under multidirectional cyclic simple shear loading conditions. Geotechnical Engineering Research Report No. UCB/GT/02–01, University of California, Berkeley Kammerer A, Pestana J, Seed R (2002) Undrained response of Monterey 0/30 sand under multidirectional cyclic simple shear loading conditions. Geotechnical Engineering Research Report No. UCB/GT/02–01, University of California, Berkeley
go back to reference Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall, Upper Saddle River, NJ Kramer SL (1996) Geotechnical earthquake engineering. Prentice Hall, Upper Saddle River, NJ
go back to reference Lacy S (1986) Numerical procedures for nonlinear transient analysis of two-phase soil system. Ph.D. dissertation, Princeton University, New Jersey Lacy S (1986) Numerical procedures for nonlinear transient analysis of two-phase soil system. Ph.D. dissertation, Princeton University, New Jersey
go back to reference Lade PV, Duncan JM (1973) Cubical triaxial tests on cohesionless soil. J Soil Mech Found Div ASCE 99(SM10):793–812 Lade PV, Duncan JM (1973) Cubical triaxial tests on cohesionless soil. J Soil Mech Found Div ASCE 99(SM10):793–812
go back to reference Lade PV, Duncan JM (1975) Elastoplastic stress-strain theory for cohesionless soil. J Geotech Eng Div ASCE 101(GT10):1037–1053 Lade PV, Duncan JM (1975) Elastoplastic stress-strain theory for cohesionless soil. J Geotech Eng Div ASCE 101(GT10):1037–1053
go back to reference Lade PV (1977) Elasto-plastic stress–strain theory for cohesionless soil with curved yield surfaces. Intl J Solids Struct 13:1014–1035CrossRef Lade PV (1977) Elasto-plastic stress–strain theory for cohesionless soil with curved yield surfaces. Intl J Solids Struct 13:1014–1035CrossRef
go back to reference Lade PV (1984) Failure criterion for frictional materials. In: Desai CS, Gallagher RH (eds) Mechanics of engineering materials. John Wiley and Sons Ltd, Chapter 20 Lade PV (1984) Failure criterion for frictional materials. In: Desai CS, Gallagher RH (eds) Mechanics of engineering materials. John Wiley and Sons Ltd, Chapter 20
go back to reference Lade PV (1988) Effects of voids and volume changes on the behavior of frictional materials. Theme paper, Int J Numer Anal Methods Geomech 12:351–370 Lade PV (1988) Effects of voids and volume changes on the behavior of frictional materials. Theme paper, Int J Numer Anal Methods Geomech 12:351–370
go back to reference Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials. II. Yield criterion and plastic work contours. Comput Geotech 6:13–29CrossRef Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials. II. Yield criterion and plastic work contours. Comput Geotech 6:13–29CrossRef
go back to reference Lade PV, Prabucki M-J (1995) Softening and preshearing effects in sand. Soils Found 35(4):93–104 Lade PV, Prabucki M-J (1995) Softening and preshearing effects in sand. Soils Found 35(4):93–104
go back to reference Lade PV, Inel S (1997) Rotational kinematic hardening model for sand. Part I: concept of rotating yield and plastic potential surfaces. Comput Geotechn 21(3):183–216CrossRef Lade PV, Inel S (1997) Rotational kinematic hardening model for sand. Part I: concept of rotating yield and plastic potential surfaces. Comput Geotechn 21(3):183–216CrossRef
go back to reference Lade PV, Abelev AV (2003) Effects of cross anisotropy on three-dimensional behavior of sand. II: volume change behavior and failure. J Eng Mech 129(2):167–174CrossRef Lade PV, Abelev AV (2003) Effects of cross anisotropy on three-dimensional behavior of sand. II: volume change behavior and failure. J Eng Mech 129(2):167–174CrossRef
go back to reference Lade PV (2004) Modeling large stress reversals and stress rotation in soils. In: Kaliakin V, Kirby JT, Bhattacharya B, Yamamuro JA, Shenton HW III (eds) Proceedings (CD ROM), 17th ASCE engineering mechanics division conference, University of Delaware, Newark, June 13–16 Lade PV (2004) Modeling large stress reversals and stress rotation in soils. In: Kaliakin V, Kirby JT, Bhattacharya B, Yamamuro JA, Shenton HW III (eds) Proceedings (CD ROM), 17th ASCE engineering mechanics division conference, University of Delaware, Newark, June 13–16
go back to reference Lewin PI (1980) Cyclic 3-D stress paths and superposition of hysteresis loops. In: Proceedings, international symposium on soils under cyclic and transient loading, January 7–11, Swansea, UK, pp 225–229 Lewin PI (1980) Cyclic 3-D stress paths and superposition of hysteresis loops. In: Proceedings, international symposium on soils under cyclic and transient loading, January 7–11, Swansea, UK, pp 225–229
go back to reference Li XS (1997) Rotational shear effects on ground earthquake response. Soil Dyn Earthquake Eng 16(1):9–19CrossRef Li XS (1997) Rotational shear effects on ground earthquake response. Soil Dyn Earthquake Eng 16(1):9–19CrossRef
go back to reference Li XS, Dafalias YF (2000) Dilatancy for cohesionless soils. Geotechnique 50(4):449–460 Li XS, Dafalias YF (2000) Dilatancy for cohesionless soils. Geotechnique 50(4):449–460
go back to reference Li XS, Dafalias YF (2002) Constitutive modeling of inherently anisotropic sand behavior. J Geotech Geoenviron Eng ASCE 128(10):868–888CrossRef Li XS, Dafalias YF (2002) Constitutive modeling of inherently anisotropic sand behavior. J Geotech Geoenviron Eng ASCE 128(10):868–888CrossRef
go back to reference Li XS, Su D (2004) Centrifuge investigation of impact of biaxial shaking on liquefaction potential of level sand deposit. In: Proceedings of 11th international conference on soil dynamics & earthquake engineering and 3rd international conference on earthquake geotechnical engineering, 7th–9th January, University of California, Berkeley Li XS, Su D (2004) Centrifuge investigation of impact of biaxial shaking on liquefaction potential of level sand deposit. In: Proceedings of 11th international conference on soil dynamics & earthquake engineering and 3rd international conference on earthquake geotechnical engineering, 7th–9th January, University of California, Berkeley
go back to reference Ling HI, Yue D, Kaliakin VN, Themelis NJ (2002) Anisotropic elastoplastic bounding surface model for cohesive soils. J Eng Mech ASCE 128(7):748–758CrossRef Ling HI, Yue D, Kaliakin VN, Themelis NJ (2002) Anisotropic elastoplastic bounding surface model for cohesive soils. J Eng Mech ASCE 128(7):748–758CrossRef
go back to reference Ling HI, Liu H (2003) Pressure level dependency and densification behavior of sand through a generalized plasticity model. J Eng Mech ASCE 129(8):851–860CrossRef Ling HI, Liu H (2003) Pressure level dependency and densification behavior of sand through a generalized plasticity model. J Eng Mech ASCE 129(8):851–860CrossRef
go back to reference Lu J, Peng J, Elgamal A, Yang Z, Law K (2004) Parallel finite element modeling of earthquake ground response and liquefaction. Earthquake Eng Eng Vibration 3(1):23–38CrossRef Lu J, Peng J, Elgamal A, Yang Z, Law K (2004) Parallel finite element modeling of earthquake ground response and liquefaction. Earthquake Eng Eng Vibration 3(1):23–38CrossRef
go back to reference Manzari MT, Dafalias YF (1997) A critical state two-surface plasticity model for sands. Geotechnique 49(2):252–272 Manzari MT, Dafalias YF (1997) A critical state two-surface plasticity model for sands. Geotechnique 49(2):252–272
go back to reference Manzari MT, Nour MA (2000) Significance of soil dilatancy in slope stability analysis. J Geotech Geoenviron Eng ASCE 126(1):75–80CrossRef Manzari MT, Nour MA (2000) Significance of soil dilatancy in slope stability analysis. J Geotech Geoenviron Eng ASCE 126(1):75–80CrossRef
go back to reference Matsuoka H (1974) Stress–strain relationships of sand based on the mobilized plane. Soils Found 14(2):47–61 Matsuoka H (1974) Stress–strain relationships of sand based on the mobilized plane. Soils Found 14(2):47–61
go back to reference Mroz Z (1967) On the description of anisotropic work hardening. J Mech Phys Solids 15:163–175CrossRef Mroz Z (1967) On the description of anisotropic work hardening. J Mech Phys Solids 15:163–175CrossRef
go back to reference Ottosen NS (1977) A failure criterion for concrete. J Eng Mech Div ASCE 103(EM4):527–535 Ottosen NS (1977) A failure criterion for concrete. J Eng Mech Div ASCE 103(EM4):527–535
go back to reference Peric D, Ayari A (2002) On the analytical solutions for the three-invariant Cam clay model. Int J Plast 18:1061–1082CrossRef Peric D, Ayari A (2002) On the analytical solutions for the three-invariant Cam clay model. Int J Plast 18:1061–1082CrossRef
go back to reference Prevost JH (1985) A simple plasticity theory for frictional cohesionless soils. Soil Dyn Earthquake Eng 1:9–17 Prevost JH (1985) A simple plasticity theory for frictional cohesionless soils. Soil Dyn Earthquake Eng 1:9–17
go back to reference Sato M, Inoue T (2004) General framework of research topics utilizing 3-D full-scale earthquake testing facility. J Japan Assoc Earthquake Eng 4(3):448–456 Sato M, Inoue T (2004) General framework of research topics utilizing 3-D full-scale earthquake testing facility. J Japan Assoc Earthquake Eng 4(3):448–456
go back to reference Seed HB, Pyke RM, Martin GR (1978) Effect of multidirectional shaking on pore pressure development in sands. J Geotech Eng Div ASCE 104(GT1):379–398 Seed HB, Pyke RM, Martin GR (1978) Effect of multidirectional shaking on pore pressure development in sands. J Geotech Eng Div ASCE 104(GT1):379–398
go back to reference Thornton C (2000) Numerical simulations of deviatoric shear deformation of granular media. Geotechnique 50(1):43–53CrossRef Thornton C (2000) Numerical simulations of deviatoric shear deformation of granular media. Geotechnique 50(1):43–53CrossRef
go back to reference Wang ZL, Dafalias YF, Shen CK (1990) Bounding surface hypoplasticity model for sand. J Eng Mech ASCE 116(EM5):983–1001CrossRef Wang ZL, Dafalias YF, Shen CK (1990) Bounding surface hypoplasticity model for sand. J Eng Mech ASCE 116(EM5):983–1001CrossRef
go back to reference Wang ZL, Dafalias YF, Li XS, Makdisi FI. (2002) State pressure index for modeling sand behavior. J Geotech Geoenviron Eng ASCE 128(6):511–519CrossRef Wang ZL, Dafalias YF, Li XS, Makdisi FI. (2002) State pressure index for modeling sand behavior. J Geotech Geoenviron Eng ASCE 128(6):511–519CrossRef
go back to reference Willam KJ, Warnke EP (1974) Constitutive model for triaxial behavior of concrete. Colloquium on concrete structures subjected to triaxial stresses. ISMES Bergamo, IABSE Report, 19 Willam KJ, Warnke EP (1974) Constitutive model for triaxial behavior of concrete. Colloquium on concrete structures subjected to triaxial stresses. ISMES Bergamo, IABSE Report, 19
go back to reference Yamada Y, Ishihara K (1979) Anisotropic deformation characteristics of sand under three dimensional stress conditions. Soils Found 19(2):79–94 Yamada Y, Ishihara K (1979) Anisotropic deformation characteristics of sand under three dimensional stress conditions. Soils Found 19(2):79–94
go back to reference Yamada Y, Ishihara K (1983) Undrained deformation characteristics of sand in multi-directional shear. Soils Found 23(1):61–79 Yamada Y, Ishihara K (1983) Undrained deformation characteristics of sand in multi-directional shear. Soils Found 23(1):61–79
go back to reference Yang Z, Elgamal A (2002) Influence of permeability on liquefaction-induced shear deformation. J Eng Mech ASCE 128(7):720–729CrossRef Yang Z, Elgamal A (2002) Influence of permeability on liquefaction-induced shear deformation. J Eng Mech ASCE 128(7):720–729CrossRef
go back to reference Yang Z, Elgamal A, Parra E (2003) A computational model for cyclic mobility and associated shear deformation. J Geotech Geoenviron Eng ASCE 129(12):1119–1127CrossRef Yang Z, Elgamal A, Parra E (2003) A computational model for cyclic mobility and associated shear deformation. J Geotech Geoenviron Eng ASCE 129(12):1119–1127CrossRef
go back to reference Yang Z, Elgamal A, Adalier K, Sharp M (2004) Earth dams on liquefiable foundation: numerical prediction of centrifuge experiments. J Eng Mech ASCE 130(10):1168–1176CrossRef Yang Z, Elgamal A, Adalier K, Sharp M (2004) Earth dams on liquefiable foundation: numerical prediction of centrifuge experiments. J Eng Mech ASCE 130(10):1168–1176CrossRef
Metadata
Title
Multi-surface Cyclic Plasticity Sand Model with Lode Angle Effect
Authors
Zhaohui Yang
Ahmed Elgamal
Publication date
01-06-2008
Publisher
Springer Netherlands
Published in
Geotechnical and Geological Engineering / Issue 3/2008
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-007-9170-3

Other articles of this Issue 3/2008

Geotechnical and Geological Engineering 3/2008 Go to the issue