Abstract
Modelling of interfaces in geotechnical engineering is an important issue. Interfaces between structural elements (e.g., anchors, piles, tunnel linings) and soils are widely used in geotechnical engineering. The objective of this article is to propose an enhanced hypoplastic interface model that incorporates the in-plane stresses at the interface. To this aim, we develop a general approach to convert the existing hypoplastic model with a predefined limit state surface for sands into an interface model. This is achieved by adopting reduced stress and stretching vectors and redefining tensorial operations which can be used in the existing continuum model with few modifications. The enhanced interface model and the previous model are compared under constant-load, stiffness and volume conditions. The comparison is followed by a verification of two the approaches for modelling the different surface roughness. Subsequently, a validation between available experimental data from the literature versus simulations is presented. The new enhanced model gives improved predictions by the incorporation of in-plane stresses into the model formulation.
Similar content being viewed by others
References
Arnold M (2008) Application of the intergranular strain concept to the hypoplastic modelling of non-adhesive interfaces. In: The 12th international conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG), pp 747–754
Arnold M, Herle I (2006) Hypoplastic description of the frictional behaviour of contacts. In: Schweiger HF (ed) Numerical methods in geotechnical engineering, sixth European conference on numerical methods in geotechnical engineering. Taylor & Francis, Graz, pp 101–106
Aubry D, Modaressi A, Modaressi H (1990) A constitutive model for cyclic behaviour of interfaces with variable dilatancy. Comput Geotech 9:47–58
Beer G (1985) An isoparametric joint/interface element for finite element analysis. Int J Numer Anal Methods Geomech 21:585–600
Belgacem F, Hild P, Laborde P (1998) The mortar finite element method for contact problems. Math Comput Model 28(4–8):263–271
Boulon M, Nova R (1990) Modelling of soil structure interface behavior a comparison between elastoplastic and rate type laws. Comput Geotech 9:21–46
Brumund W, Leonards GA (1973) Experimental study of static and dynamic friction between sand and typical construction material. J Test Eval 1(February):162–165
Clough GW, Duncan JM (1971) Finite element analyses of retaining wall behaviour. J Soil Mech Found Div 12:1657–1673
Costa DAguiar S, Modaressi A (2011) Piles under cyclic axial loading: study of the friction fatigue and its importance in pile behavior. Can Geotech J 48(10):1537–1550
Day R, Potts D (1998) The effect of interface properties on retaining wall behaviour. Int J Numer Anal Methods Geomech 22(February):1021–1033
De Jong JT, Randolph MF, White DJ (2003) Interface load transfer degradation during cyclic loading: a microscale investigation. Soils Found 43(4):81–93
DeJong JT, Westgate ZJ (2009) Role of initial state, material properties, and confinement condition on local and global soil–structure interface behavior. J Geotech Geoenviron Eng 135(11):1646–1660
DeJong JT, White DJ, Randolph M (2006) Microscale observation and modeling of soil-structure interface behavior using particle image velocimetry. Soils Found 46(1):15–28
Desai CS, Zaman MM, Lightner JG, Siriwardane HJ (1984) Thin-layer element for interfaces and joints. Int J Numer Anal Methods Geomech 8:19–43
Evgin E, Fakharian K (1996) Effect of stress paths on the behaviour of sandsteel interfaces. Can Geotech J 33:853–865
Fioravante V, Ghionna VN, Pedroni S, Porcino D (1999) A constant normal stiffness direct shear box for soil–solid interface tests. Riv Ital Geotec 3:7–22
Gennaro V, Frank R (2002) Elasto-plastic analysis of the interface behaviour between granular media and structure. Comput Geotech 29(7):547–572
Ghionna VN, Mortara G (2002) An elastoplastic model for sand–structure interface behaviour. Géotechnique 52(1):41–50
Gómez JE (2000) Development of an extended hyperbolic model for concrete-to-soil interfaces. Ph.D. thesis, Virginia Polytechnic Institute and State University
Gómez JE, Filz GM, Ebeling RM (2003) Extended hyperbolic model for sand-to-concrete interfaces. J Geotech Geoenviron Eng 129(11):993–1000
Goodman RE, Taylor RL, Brekke TL (1968) A model for the mechanics of jointed rock. J Soil Mech Found Div 94(SM 3):637–659 (Proc. Paper 5937)
Gudehus G (1996) A comprehensive constitutive equation for granular materials. Soils Found 36(1):1–12
Gutjahr S (2003) Optimierte Berechnung von nicht gestützten Baugrubenwänden in Sand. Ph.D. thesis no. 25, TU Dortmund
Herle I, Gudehus G (1999) Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies. Mech Cohesive-Frict Mater 4:461–486
Herle I, Nübel K (1999) Hypoplastic description of interface behaviour. In: Pande G, Pietruszczak S, Schweiger H (eds) Numerical models in geomechanics—NUMOG VII. A.A.Balkema, Graz, pp 53–58
Hu L, Pu J (2004) Testing and modeling of soil–structure interface. J Geotech Geoenviron Eng 130(8):851–860
Hu L, Pu JL (2003) Application of damage model for soil–structure interface. Comput Geotech 30(2):165–183
Jaky J (1948) Pressure in silos. In: 2nd ICSMFE, pp 103–107
Kolymbas D (1977) A rate-dependent constitutive equation for soils. Mech Res Commun 4(6):367–372
Koval G, Chevoir F, Roux JN, Sulem J, Corfdir A (2011) Interface roughness effect on slow cyclic annular shear of granular materials. Granul Matter 13(5):525–540
Lashkari A (2013) Prediction of the shaft resistance of nondisplacement piles in sand. Comput Geotech 37(January 2012):904–931
Liu H, Song E, Ling HI (2006) Constitutive modeling of soil-structure interface through the concept of critical state soil mechanics. Mech Res Commun 33(4):515–531
Liu J, Zou D, Kong X (2014) A three-dimensional state-dependent model of soil-structure interface for monotonic and cyclic loadings. Comput Geotech 61:166–177
Martinez A, Frost JD, Hebeler GL (2015) Experimental study of shear zones formed at sand/steel interfaces in axial and torsional axisymmetric tests. Geotech Test J 38(4):1–20
Mascarucci Y, Miliziano S, Mandolini A (2014) A numerical approach to estimate shaft friction of bored piles in sands. Acta Geotech 9(3):547–560
Matsuoka H, Nakai T (1974) Stressdeformation and strength characteristics of soil under three different principal stresses. Proc Jpn Soc Civ Eng 232:59–70
Niemunis A, Herle I (1997) Hypoplastic model for cohesionless soils with elastic strain range. Mech Cohesive-Frict Mater 2(1997):279–299
Peng SY, Ng CWW, Zheng G (2013) The dilatant behaviour of sandpile interface subjected to loading and stress relief. Acta Geotech 9(3):425–437
Porcino D, Fioravante V, Ghionna VN, Pedroni S (2003) Interface behavior of sands from constant normal stiffness direct shear tests. Geotech Test J 26(3):1–13
Potyondy JG (1961) Skin friction between various soils and construction materials. Géotechnique 11:339–353
Shahrour I, Rezaie F (1997) An elastoplastic constitutive relation for the soil–structure interface under cyclic loading. Comput Geotech 21(1):21–39
Taha A, Fall M (2014) Shear behavior of sensitive marine clay-steel interfaces. Acta Geotech 9(6):969–980
Tejchman J, Wu W (1995) Experimental and numerical study of sandsteel interfaces. Int J Numer Anal Methods Geomech 19(March 1993):513–536
Uesugi M, Kishida H (1986) Frictional resistance at yield between dry sand and mild steel. Soils Found 26(4):139–149
Uesugi M, Kishida H, Tsubakihara Y (1988) Behavior of sand particles in sand–steel friction. Soils Found 28(1):107–118
Weißenfels C, Wriggers P (2015) A contact layer element for large deformations. Comput Mech 55(5):873–885
Weißenfels C, Wriggers P (2015) Methods to project plasticity models onto the contact surface applied to soil structure interactions. Comput Geotech 65:187–198
Wernick E (1978) Skin friction of cylindrical anchors in non-cohesive soils. In: Symposium on soil reinforcing and stabilising techniques in engineering practice, Sydney, Australia, October 16–19, pp 201–219
von Wolffersdorff PA (1996) Hypoplastic relation for granular materials with a predefined limit state surface. Mech Cohesive-Frict Mater 1(3):251–271
Wu W (1992) Hypoplastizität als mathematisches Modell zum mechanischen Verhalten granularer Stoffe. Ph.d thesis no. 129, Institut für Bodenmechanik und Felsmechanik der Universität Fridericiana in Karlsruhe
Wu W, Bauer E (1994) A simple hypoplastic constitutive model for sand. Int J Numer Anal Methods Geomech 18:833–862
Zaman MM, Desai CS, Drumm AM (1984) Interface model for dynamic soil–structure interaction. J Geotech Eng 110:1257–1273
Zeghal M, Edil TB (2002) Soil structure interaction analysis: modeling the interface. Can Geotech J 39(3):620–628
Acknowledgments
The first author greatly appreciates financial support by the German Research Foundation in the framework of the research training group 1462. The second author greatly appreciates financial support by the research Grant 15-05935S of the Czech Science Foundation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Stutz, H., Mašín, D. & Wuttke, F. Enhancement of a hypoplastic model for granular soil–structure interface behaviour. Acta Geotech. 11, 1249–1261 (2016). https://doi.org/10.1007/s11440-016-0440-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11440-016-0440-1