nach oben

Erschienen in:

2017 | OriginalPaper | Buchkapitel

Simulation of Cyclic Loading Conditions Within Fluid-Saturated Granular Media

verfasst von : Wolfgang Ehlers, Maik Schenke, Bernd Markert

Erschienen in: Holistic Simulation of Geotechnical Installation Processes

Verlag: Springer International Publishing

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In civil engineering, the installation of a reliable foundation is essential for the stability of the emerging structure. Already during the foundation process, a comprehensive survey of the mutual interactions between the preliminary established construction pit and the surrounding soil is indispensable, especially, when building in an existing context. In this regard, drawing our attention to the construction site at the Potsdamer Platz in Berlin, which resides within a nearly fully saturated soil and in the immediate vicinity of existing structures, measurements have revealed significant displacements of the retaining walls during the vibratory installation of the foundation piles via a so-called vibro-injection procedure. Herein, due to the gradual plastic strain accumulation and the small pore-fluid permeability of the granular assembly, the rapid cyclic loading conditions gave rise to a gradual pore-pressure build-up, which degraded the load-bearing capacity of the surrounding soil.

Addressing the simulation of cyclic loading conditions within a fluid-saturated soil, the present contribution proceeds from a multi-phasic continuum-mechanical approach based on the Theory of Porous Media (TPM), where the solid scaffold is described as an elasto-(visco)plastic material incorporating both an isotropic and a kinematic hardening model. The properties of the proposed solid-skeleton description are extensively discussed. Moreover, the model response is compared to experimental data.

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Vorheriges Kapitel Computer Aided Calibration, Benchmarking and Check-Up of Constitutive Models for Soils. Some Conclusions for Neohypoplasticity

Nächstes Kapitel Strategies to Apply Soil Models Directly as Friction Laws in Soil Structure Interactions

Nur mit Berechtigung zugänglich

Herein, the stress tensors are interpreted as vectors in the principle stress space.

Note that under pure hydrostatic or deviatoric loading, the contributions of the plastic flow in the deviatoric or hydrostatic direction, respectively, are not uniquely defined due to \(\Vert \mathbf {G}^{D}\Vert =0\) and \({G}^{V} =0\), respectively. Consequently, arbitrary projection directions \(\mathbf {N}^{D}\) and \(\mathbf {N}^{V}\) are defined in this case in order to keep the formulation computable. In this case, the scaling factors, \(\zeta ^{V}\) and \( \zeta ^{D}\), do not contribute to the hardening, see (18) and (19), due to vanishing plastic strain rates in the corresponding directions.

The sand samples have been provided by the Institute of soil and rock mechanics (Institut für Boden- und Felsmechanik, IBF) of the Karlsruher Institut of Technology (KIT).

Armstrong, P.J., Frederick, C.O.: A mathematical representation of the multiaxial bauschinger effect. Report No. RD/B/N 731, Central Electricity Generating Board and Berkeley Nuclear Laboratories (CEGB) (1966)

Arslan, U.M.: Zur Frage des elastoplastischen Verformungsverhaltens von Sand. Mitteilungen der Versuchsanstalt für Bodenmechanik und Grundbau 23, TH Darmstadt (1980)

Bauschinger, J.: Über die Veränderung der Elastizitätsgrenze und die Festigkeit des Eisens und Stahls durch Strecken und Quetschen, durch Erwärmen und Abkühlen und durch oftmals wiederholte Beanspruchungen. Mitteilungen aus dem mechanisch-technischem Laboratorium 13, Königlich Bayerische Technische Hochschule München (1886)

Biot, M.A.: Theory of propagation of elastic waves in a fluid-saturated porous solid. J. Acoust. Soc. Am. 28, 168–178 (1956)CrossRef

de Boer, R., Brauns, W.: Kinematic hardening of granular materials. Ingenieur-Archiv 60, 463–480 (1990)CrossRef

de Boer, R., Ehlers, W.: Theorie der Mehrkomponentenkontinua mit Anwendung auf bodenmechanische Probleme. Forschungsberichte aus dem Fachbereich Bauwesen, Heft 40. Universität-GH-Essen (1986)

Brezzi, F., Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer, New York (1991)CrossRefMATH

Casagrande, D.R.: Characteristics of cohesionless soils affecting the stability of slopes and earth fills. J. Boston Soc. Civil Eng. 23, 13–32 (1936)

Chaboche, J.L.: Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int. J. Plast 5, 247–302 (1989)CrossRefMATH

10.

Chaboche, J.L.: On some modifications of kinematic hardening to improve the description of ratcheting effects. Int. J. Plast 7, 661–678 (1991)CrossRef

11.

Danne, S., Hettler, A.: Experimental strain response-envelopes of granular materials for monotonous and low-cycle loading processes. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 77, pp. 229–250. Springer, Heidelberg (2015). doi:10.1007/978-3-319-18170-7_12 CrossRef

12.

Ehlers, W.: Foundations of multiphasic and porous materials. In: Ehlers, W., Bluhm, J. (eds.) Porous Media: Theory, Experiments and Numerical Applications, pp. 3–86. Springer, Berlin (2002)

13.

Ehlers, W., Avci, O.: Stress-dependent hardening and failure surfaces of dry sand. Int. J. Numer. Anal. Meth. Geomech. 37, 787–809 (2013)CrossRef

14.

Ehlers, W., Graf, T., Ammann, M.: Deformation and localization analysis of partially saturated soil. Comput. Methods Appl. Mech. Eng. 193, 2885–2910 (2004)CrossRefMATH

15.

Ehlers, W., Karajan, N., Wieners, C.: Parallel 3-d simulation of a biphasic porous media model in spine mechanics. In: Ehlers, W., Karajan, N. (eds.) Proceedings of the 2nd GAMM Seminar on Continuum Biomechanics, pp. 11–20. Report No. II-16 of the Institute of Applied Mechanics (CE), University of Stuttgart (2007)

16.

Ehlers, W.: Poröse Medien - ein kontinuumsmechanisches Modell auf der Basis der Mischungstheorie. Habilitation Thesis, Forschungsberichte aus dem Fachbereich Bauwesen, Heft 47, Universität-GH-Essen (1989)

17.

Ehlers, W.: A single-surface yield function. Arch. Appl. Mech. 65, 246–259 (1995)CrossRefMATH

18.

Ehlers, W.: Challanges of porous media models in geo- and biomechanical engineering including electro-chemically active polymers and gels. Int. J. Adv. Eng. Sci. Appl. Math. 1, 1–24 (2009)CrossRef

19.

Ehlers, W., Schenke, M., Markert, B.: Simulation of soils under rapid cyclic loading conditions. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 77, pp. 207–228. Springer, Heidelberg (2015). doi:10.1007/978-3-319-18170-7_11 CrossRef

20.

Ehlers, W., Scholz, B.: An inverse algorithm for the identification and the sensitivity analysis of the parameters governing micropolar elasto-plastic granular material. Arch. Appl. Mech. 77, 911–931 (2007)CrossRefMATH

21.

Ellsiepen, P.: Zeit- und ortsadaptive Verfahren angewandt auf Mehrphasenprobleme pröser Medien. Dissertation Thesis, Report No. II-3 of the Institute of Applied Mechanics (CE), University of Stuttgart (1999)

22.

Heider, Y., Avci, O., Markert, B., Ehlers, W.: The dynamic response of fluid-saturated porous materials with application to seismically induced soil liquefaction. Soil Dyn. Earthq. Eng. 63, 120–137 (2014)CrossRef

23.

Iwan, W.D.: On a class of models for the yielding behavior of continuous and composite systems. ASME J. Appl. Mech. 34, 612–617 (1967)CrossRef

24.

Jirásek, M., Bažant, Z.P.: Inelastic Analysis of Structures. Wiley, New York (2002)

25.

Ko, H., Scott, R.F.: Deformation of sand in shear. J. Soil Mech. Found. Div. 93, 283–310 (1967)

26.

Lade, P.V., Duncan, J.M.: Cubical triaxial tests on cohesionless soil. ASCE J. Soil Mech. Found. Div. 99, 793–812 (1973)

27.

Manzari, M.T., Dafalias, Y.F.: A critical state two-surface plasticity model for sands. Geotechnique 47, 255–272 (1997)CrossRef

28.

Meggiolaro, M.A., Castro, J.T.P., Wu, H.: On the applicability of multi-surface, two-surface and non-linear kinematic hardening models in multiaxial fatigue. Frattura ed Integritá Struttura 33, 357–367 (2015)

29.

Mróz, Z.: An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model. Acta Mech. 7, 199–212 (1969)CrossRef

30.

Mróz, Z.: On the description of anisotropic workhardening. J. Mech. Phys. Solids 15, 163–175 (1967)CrossRef

31.

Ohno, N., Wang, J.D.: Kinematic hardening rules with critical state dynamic recovery, part ll - application to experiments of ratcheting behavior. Int. J. Plast 9, 391–403 (1991)CrossRef

32.

Perzyna, P.: Fundamental problems in viscoplasticity. Adv. Appl. Mech. 9, 243–377 (1966)CrossRef

33.

Prévost, J.H.: Nonlinear transient phenomena in soil media. Mech. Eng. Mater. 30, 3–18 (1982)MATH

34.

Roscoe, K.H., Burland, J.B.: On the generalized stress-strain behaviour of wet clay. In: Engineering Plasticity, pp. 535–609. Cambridge University Press, Cambridge (1968)

35.

Santamarina, J., Klein, K.A., Fam, M.A.: Soils and Waves. Wiley, Chichester (2001)

36.

Schenke, M., Ehlers, W.: Parallel solution of volume-coupled multi-field problems using an abaqus-pandas software interface. Proc. Appl. Math. Mech. 15, 419–420 (2015)CrossRef

37.

Schofield, A.N., Wroth., C.P.: Critical State Soil Mechanics. McGraw-Hill, New York (1968)

38.

Simo, J.C., Taylor, R.L.: A return mapping algorithm for plane stress elastoplasticity. Int. J. Numer. Meth. Eng. 22, 649–670 (1986)MathSciNetCrossRefMATH

39.

Spellucci, P.: Numerische Verfahren der nichtlinearen Optimierung. Birkhäuser, Basel (1993)CrossRef

40.

Spellucci, P.: A new technique for inconsistent QP problems in the SQP-method. Math. Methods Oper. Res. 47, 335–400 (1998)MathSciNetCrossRefMATH

41.

Wichtmann, T., Niemunis, A., Triantafyllidis, T.: Strain accumulation in sand due to cyclic loading: drained triaxial tests. Soil Dyn. Earthq. Eng. 25, 967–979 (2005)CrossRef

42.

Wichtmann, T., Triantafyllidis, T.: Behaviour of granular soils under environmental induced cyclic loads. In: Di Prisco, C., Wood, D.M. (eds.) Mechanical Behaviour of Soils Under Environmentally-Induced Cyclic Loads, pp. 1–136. Springer, Wien (2012)

43.

Yamada, Y., Ishihara, K.: Anisotropic deformation charateristics of sand under three dimensional stress conditions. Soils Found. 19, 79–94 (1979)CrossRef

44.

Zienkiewicz, O.C., Bettes, P.: Soil Mechanics - Transient and Cyclic Loads. Wiley, Chichester (1982)

45.

Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics with Special Reference to Earthquake. Wiley, Chichester (2001)MATH

46.

Zienkiewicz, O.C., Chang, C.T., Hinton, E.: Non-linear seismic response and liquefaction. Int. J. Numer. Anal. Meth. Geomech. 2, 381–404 (1978)CrossRefMATH

Titel: Simulation of Cyclic Loading Conditions Within Fluid-Saturated Granular Media
verfasst von: Wolfgang Ehlers
Maik Schenke
Bernd Markert
Verlag: Springer International Publishing
Buch: Holistic Simulation of Geotechnical Installation Processes
Print ISBN: 978-3-319-52589-1

Electronic ISBN: 978-3-319-52590-7

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-3-319-52590-7_8

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"