Skip to main content

2015 | OriginalPaper | Buchkapitel

Simulation of Soils Under Rapid Cyclic Loading Conditions

verfasst von : W. Ehlers, M. Schenke, B. Markert

Erschienen in: Holistic Simulation of Geotechnical Installation Processes

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The stability of structures strongly relies upon the strength and stiffness of the foundation soil underneath. If fluid-saturated or nearly saturated soils are subjected to rapid cyclic loading conditions, for instance, during earthquakes, the intergranular frictional forces might be dramatically reduced. Subsequently, the load-bearing capacity decreases or even vanishes, if the soil grains loose contact to each other. This phenomena is often referred to as soil liquefaction. Drawing our attention to fluid-saturated granular materials with heterogeneous microstructures, the modelling is carried out within a continuum-mechanical framework by exploiting the macroscopic Theory of Porous Media (TPM) together with thermodynamically consistent constitutive equations. In this regard, the present contribution proceeds from a fully saturated soil, composed of an elasto-plastic solid skeleton and a materially incompressible pore fluid. The governing material parameters of the solid skeleton have been identified for the research-unit sand. The underlying equations are used to simulate soils under rapid cyclic loading conditions. In this regard, the semi-infinite domain is split into a near field, which usually the domain of interest, and a far field, which extents the simulated domain towards infinity. In order to avoid wave reflections at the near-field boundaries an energy-absorbing layer is introduced. Finally, several simulations are carried out. Firstly, a parametric study of the particular far-field treatment is performed and, secondly, soil liquefaction is simulated, where the underlying initial-boundary-value problem is inspired by practically relevant scenarios.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Porous media Adaptive Non-linear finite-element solver based on Differential Algebraic Systems, www.​get-pandas.​com.
 
2
Grain size: 0.1–1 mm; sieve retention: \(d10=0.4\,\mathrm mm\), \(d60=0.6\, \mathrm mm.\)
 
Literatur
1.
Zurück zum Zitat Castro, G., Poulos, S.J.: Factors affecting liquefaction and cyclic mobility. ASCE. J. Geotech. Eng. Div. 103, 501–506 (1977) Castro, G., Poulos, S.J.: Factors affecting liquefaction and cyclic mobility. ASCE. J. Geotech. Eng. Div. 103, 501–506 (1977)
2.
Zurück zum Zitat Casagrande, J.: The determination of the preconsolidation load and its practical significance. In: Proceedings 1st International Conference on Soil Mechanics and Foundation Engineering (1936) Casagrande, J.: The determination of the preconsolidation load and its practical significance. In: Proceedings 1st International Conference on Soil Mechanics and Foundation Engineering (1936)
3.
Zurück zum Zitat Lin, C.-H., Borja, R.I.: Technical Report No. 137. The John A. Blume Eartquake Engineering Center, Stanford (2000) Lin, C.-H., Borja, R.I.: Technical Report No. 137. The John A. Blume Eartquake Engineering Center, Stanford (2000)
4.
Zurück zum Zitat Prevost, J.H.: Nonlinear transient phenomena in soil media. Mech. Eng. Mater. 30, 3–18 (1982)MATH Prevost, J.H.: Nonlinear transient phenomena in soil media. Mech. Eng. Mater. 30, 3–18 (1982)MATH
5.
Zurück zum Zitat Prevost, J., Elgamal, A.M., Abdel-Ghaffar, A.M.: Earthquake-induced plastic deformation of earth dams. In: Proceedings: 2nd International Conference on Soil Dynamics and Earthquake Engineering, vol. 4, pp. 9–17 (1985) Prevost, J., Elgamal, A.M., Abdel-Ghaffar, A.M.: Earthquake-induced plastic deformation of earth dams. In: Proceedings: 2nd International Conference on Soil Dynamics and Earthquake Engineering, vol. 4, pp. 9–17 (1985)
6.
Zurück zum Zitat Zienkiewicz, O.C., Bettes, P.: Soil Mechanics—Transient and Cyclic Loads. Wiley, Chichester (1982)MATH Zienkiewicz, O.C., Bettes, P.: Soil Mechanics—Transient and Cyclic Loads. Wiley, Chichester (1982)MATH
7.
Zurück zum Zitat Zienkiewicz, O.C., Shiomi, T.: Dynamic behaviour of saturated porous media: the generalized Biot formulation its numerical solution. Int. J. Numer. Anal. Meth. Eng. 8, 71–96 (1984)MATHCrossRef Zienkiewicz, O.C., Shiomi, T.: Dynamic behaviour of saturated porous media: the generalized Biot formulation its numerical solution. Int. J. Numer. Anal. Meth. Eng. 8, 71–96 (1984)MATHCrossRef
8.
Zurück zum Zitat Biot, M.A.: Theorie of propagation of elastic waves in a fluid-saturated porous solid. J. Acoust. Soc. Am. 28, 168–178 (1956)MathSciNetCrossRef Biot, M.A.: Theorie of propagation of elastic waves in a fluid-saturated porous solid. J. Acoust. Soc. Am. 28, 168–178 (1956)MathSciNetCrossRef
9.
Zurück zum Zitat Manzari, M.T., Dafalias, Y.F.: A critical state two-surface plasticity model for sands. Geotechnique 47, 255–272 (1997)CrossRef Manzari, M.T., Dafalias, Y.F.: A critical state two-surface plasticity model for sands. Geotechnique 47, 255–272 (1997)CrossRef
10.
Zurück zum Zitat Roscoe, K.H., Burland, J.B.: On the generalized stress-strain behaviour of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity. Cambridge University Press, Cambridge (1968) Roscoe, K.H., Burland, J.B.: On the generalized stress-strain behaviour of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity. Cambridge University Press, Cambridge (1968)
11.
Zurück zum Zitat Wichtmann, T., Niemunis, A., Triantafyllidis, T.: Strain accumulation in sand due to cyclic loading: drained cyclic tests with triaxial extension. Soil Dyn. Earthq. Eng. 27, 42–48 (2006)CrossRef Wichtmann, T., Niemunis, A., Triantafyllidis, T.: Strain accumulation in sand due to cyclic loading: drained cyclic tests with triaxial extension. Soil Dyn. Earthq. Eng. 27, 42–48 (2006)CrossRef
12.
Zurück zum Zitat Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A.: Computational Mechanics—with Special Reference to Earthquake Engineering. Wiley, Chichester (1998) Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A.: Computational Mechanics—with Special Reference to Earthquake Engineering. Wiley, Chichester (1998)
13.
Zurück zum Zitat Zienkiewicz, O.C., Chang, C.T., Hinton, E.: Non-linear seismics reponse and liquefaction. Int. J. Numer. Anal. Meth. Eng. 2, 381–404 (1978)MATHCrossRef Zienkiewicz, O.C., Chang, C.T., Hinton, E.: Non-linear seismics reponse and liquefaction. Int. J. Numer. Anal. Meth. Eng. 2, 381–404 (1978)MATHCrossRef
14.
Zurück zum Zitat Bowen, R.M.: Incompressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 18, 1129–1148 (1980)MATHCrossRef Bowen, R.M.: Incompressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 18, 1129–1148 (1980)MATHCrossRef
16.
Zurück zum Zitat Ehlers, W.: Foundation of multiphasic and porous materials. In: Ehlers, W., Bluhm, J. (eds.) Porous Media: Theory, Experiments and Numerical Applications, pp. 3–86. Springer, Berlin (2002) Ehlers, W.: Foundation of multiphasic and porous materials. In: Ehlers, W., Bluhm, J. (eds.) Porous Media: Theory, Experiments and Numerical Applications, pp. 3–86. Springer, Berlin (2002)
17.
Zurück zum Zitat Markert, B., Heider, Y., Ehlers, W.: Comparision of monolithic and splitting solutions schemes for dynamic for dynamic porous media problems. Int. J. Numer. Meth. Eng. 82, 1341–1383 (2010)MATHMathSciNet Markert, B., Heider, Y., Ehlers, W.: Comparision of monolithic and splitting solutions schemes for dynamic for dynamic porous media problems. Int. J. Numer. Meth. Eng. 82, 1341–1383 (2010)MATHMathSciNet
18.
Zurück zum Zitat Ehlers, W., Avci, O.: Stress-dependent hardening and failure surface of dry sand. Int. J. Numer. Anal. Meth. Geomech. 37, 787–809 (2012)CrossRef Ehlers, W., Avci, O.: Stress-dependent hardening and failure surface of dry sand. Int. J. Numer. Anal. Meth. Geomech. 37, 787–809 (2012)CrossRef
19.
Zurück zum Zitat Heider, Y., Markert, B., Ehlers, W.: Dynamic wave propagation in infinite saturated porous media half spaces. Comput. Mech. 49, 319–336 (2012)MATHMathSciNetCrossRef Heider, Y., Markert, B., Ehlers, W.: Dynamic wave propagation in infinite saturated porous media half spaces. Comput. Mech. 49, 319–336 (2012)MATHMathSciNetCrossRef
20.
Zurück zum Zitat Ehlers, W., Scholz, B.: An inverse algorithm for the identification and the sensitivity analysis of the parameters governing elasto-plastic micropolar granular material. Arch. Appl. Mech. 77, 911–931 (2007)MATHCrossRef Ehlers, W., Scholz, B.: An inverse algorithm for the identification and the sensitivity analysis of the parameters governing elasto-plastic micropolar granular material. Arch. Appl. Mech. 77, 911–931 (2007)MATHCrossRef
21.
Zurück zum Zitat Ehlers, W.: A single-surface yield function for geomaterials. Arch. Appl. Mech. 65, 246–259 (1995)MATHCrossRef Ehlers, W.: A single-surface yield function for geomaterials. Arch. Appl. Mech. 65, 246–259 (1995)MATHCrossRef
22.
Zurück zum Zitat Perzyna, P.: Fundamental problems in viscoplasticity. Adv. Appl. Mech. 9, 243–377 (1966) Perzyna, P.: Fundamental problems in viscoplasticity. Adv. Appl. Mech. 9, 243–377 (1966)
23.
Zurück zum Zitat Ehlers, W., Graf, T., Ammann, M.: Engineering issues of unsaturated soil. In: Brinkgreve, R.B.J., Schad, H., Schweiger, H.F., Willand, E. (eds.) Geotechnical Innovations (Studies in Honour of Prof. Dr.-Ing. Pieter Vermeer on Occasion of his 60th Birthday). Verlag Glückauf, Essen, pp. 505–540 (2004) Ehlers, W., Graf, T., Ammann, M.: Engineering issues of unsaturated soil. In: Brinkgreve, R.B.J., Schad, H., Schweiger, H.F., Willand, E. (eds.) Geotechnical Innovations (Studies in Honour of Prof. Dr.-Ing. Pieter Vermeer on Occasion of his 60th Birthday). Verlag Glückauf, Essen, pp. 505–540 (2004)
24.
Zurück zum Zitat Lysmer, J., Kuhlemeyer, R.L.: Finite dynamic model for infinite media. ASCE. J. Eng. Div. 95, 859–877 (1969) Lysmer, J., Kuhlemeyer, R.L.: Finite dynamic model for infinite media. ASCE. J. Eng. Div. 95, 859–877 (1969)
25.
Zurück zum Zitat Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer, New York (1991)MATHCrossRef Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer, New York (1991)MATHCrossRef
26.
Zurück zum Zitat Marques, J.M.M.C., Owen, D.R.J.: Infinite elements in quasi-static materially nonlinear problems. Comput. Struct. 18, 739–751 (1984)CrossRef Marques, J.M.M.C., Owen, D.R.J.: Infinite elements in quasi-static materially nonlinear problems. Comput. Struct. 18, 739–751 (1984)CrossRef
27.
Zurück zum Zitat Zienkiewicz, O.C., Taylor, R.L., Zhu, J.Z.: The Finite Element Method—Its Basis and Fundamentals. McGraw-Hill, New York (2005) Zienkiewicz, O.C., Taylor, R.L., Zhu, J.Z.: The Finite Element Method—Its Basis and Fundamentals. McGraw-Hill, New York (2005)
28.
Zurück zum Zitat Hilber, H.M., Hughes, T.J.R., Taylor, R.L.: Improved numerical dissipation for time integration algorithms in structural dynamics. Earthq. Eng. Struct. Dyn. 3, 283–292 (1977)CrossRef Hilber, H.M., Hughes, T.J.R., Taylor, R.L.: Improved numerical dissipation for time integration algorithms in structural dynamics. Earthq. Eng. Struct. Dyn. 3, 283–292 (1977)CrossRef
29.
Zurück zum Zitat Newmark, N.M.: A method of computation of structural dynamics. ASCE. J. Eng. Div. 85, 67–94 (1959) Newmark, N.M.: A method of computation of structural dynamics. ASCE. J. Eng. Div. 85, 67–94 (1959)
30.
Zurück zum Zitat Karajan, N.: An extended biphasic description of the inhomogeneous and anisotropic intervertebral disc, dissertation: Rep. No.: 09-II-19. Dissertation thesis, Report No. II-19, Institute of Applied Mechanics (Civil Engineering), University of Stuttgart (2009) Karajan, N.: An extended biphasic description of the inhomogeneous and anisotropic intervertebral disc, dissertation: Rep. No.: 09-II-19. Dissertation thesis, Report No. II-19, Institute of Applied Mechanics (Civil Engineering), University of Stuttgart (2009)
31.
Zurück zum Zitat Schenke, M., Ehlers, W.: On the analysis of soils using an abaqus-PANDAS interface. Proc. Appl. Math. Mech. 11, 431–432 (2011)CrossRef Schenke, M., Ehlers, W.: On the analysis of soils using an abaqus-PANDAS interface. Proc. Appl. Math. Mech. 11, 431–432 (2011)CrossRef
32.
Zurück zum Zitat Spellucci, P.: Numerische Verfahren der nichtlinearen Optimierung. Birkhäuser, Basel (1993)MATHCrossRef Spellucci, P.: Numerische Verfahren der nichtlinearen Optimierung. Birkhäuser, Basel (1993)MATHCrossRef
33.
Zurück zum Zitat Spellucci, P.: A new technique for inconsistent QP problems in the SQP-method. Math. Meth. Oper. Res. 47, 335–400 (1998)MathSciNetCrossRef Spellucci, P.: A new technique for inconsistent QP problems in the SQP-method. Math. Meth. Oper. Res. 47, 335–400 (1998)MathSciNetCrossRef
34.
Zurück zum Zitat White, W., Vallianppan, S., Lee, I.K.: Unified boundary for finite dynamic models. ASCE. J. Eng. Div. 103, 949–964 (1977) White, W., Vallianppan, S., Lee, I.K.: Unified boundary for finite dynamic models. ASCE. J. Eng. Div. 103, 949–964 (1977)
35.
Zurück zum Zitat Häggblad, B., Nordgren, G.: Modelling nonlinear soil-structure interaction using interface elements, elastic-plastic soil elements and absorbing infinite elements. Comput. Struct. 26, 307–324 (1987)MATHCrossRef Häggblad, B., Nordgren, G.: Modelling nonlinear soil-structure interaction using interface elements, elastic-plastic soil elements and absorbing infinite elements. Comput. Struct. 26, 307–324 (1987)MATHCrossRef
36.
Zurück zum Zitat Day, R.W.: Geotechnical Earthquake Engineering Handbook. Mcgraw-Hill, New York (2002) Day, R.W.: Geotechnical Earthquake Engineering Handbook. Mcgraw-Hill, New York (2002)
Metadaten
Titel
Simulation of Soils Under Rapid Cyclic Loading Conditions
verfasst von
W. Ehlers
M. Schenke
B. Markert
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-18170-7_11