Abstract
Some geotechnical installation processes such as vibratory pile driving or vibro-compaction of soils are characterised by a wide strain amplitude range in the soil, from several per cent and higher in the vicinity of the vibration source to vanishingly small amplitudes in the far field. The gradual accumulation of residual stresses and deformations after each small-amplitude cycle plays in such processes as important a role as large-amplitude cyclic deformation. The numerical simulation of such processes faces, among other difficulties, the necessity to model simultaneously large- and small-amplitude cyclic deformation with a large number of cycles. This imposes stringent requirements on the constitutive model. A problem of the large-amplitude vertical vibration of a pile in saturated soil, which belongs to the problems with a wide strain amplitude range, was solved earlier with two constitutive models: an incremental hypoplasticity model and a high-cycle accumulation model. Using this problem as an example, the present paper discusses the solution approaches and numerical and constitutive aspects of the problem, with particular attention to the accumulation effects in hypoplasticity.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Chrisopoulos, S., Osinov, V.A., Triantafyllidis, T.: Dynamic problem for the deformation of saturated soil in the vicinity of a vibrating pile toe. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 80, pp. 53–67. Springer, Heidelberg (2016). doi:10.1007/978-3-319-23159-4_3
Gudehus, G.: A comprehensive constitutive equation for granular materials. Soils Found. 36(1), 1–12 (1996)
Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-frict. Mater. 2(4), 279–299 (1997)
Niemunis, A., Wichtmann, T., Triantafyllidis, T.: A high-cycle accumulation model for sand. Comput. Geotech. 32, 245–263 (2005)
Osinov, V.A.: Wave-induced liquefaction of a saturated sand layer. Continuum Mech. Thermodyn. 12(5), 325–339 (2000)
Osinov, V.A.: Large-strain dynamic cavity expansion in a granular material. J. Eng. Math. 52, 185–198 (2005)
Osinov, V.A.: Application of a high-cycle accumulation model to the analysis of soil liquefaction around a vibrating pile toe. Acta Geotech. 8, 675–684 (2013)
Osinov, V.A.: Numerical modelling of the effective-stress evolution in saturated soil around a vibrating pile toe. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 77, pp. 133–147. Springer, Heidelberg (2015). doi:10.1007/978-3-319-18170-7_7
Osinov, V.A., Gudehus, G.: Dynamics of hypoplastic materials: theory and numerical implementation. In: Hutter, K., Kirchner, N. (eds.) Dynamic Response of Granular and Porous Materials Under Large and Catastrophic Deformations, pp. 265–284. Springer, Berlin (2003)
Osinov, V.A., Chrisopoulos, S., Triantafyllidis, T.: Numerical study of the deformation of saturated soil in the vicinity of a vibrating pile. Acta Geotech. 8, 439–446 (2013)
Osinov, V.A., Chrisopoulos, S., Grandas-Tavera, C.: Vibration-induced stress changes in saturated soil: a high-cycle problem. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 80, pp. 69–84. Springer, Heidelberg (2016). doi:10.1007/978-3-319-23159-4_4
Wichtmann, T.: Explicit accumulation model for non-cohesive soils under cyclic loading. Dissertation, Publications of the Institute of Soil Mechanics and Foundation Engineering, Ruhr-University Bochum, vol. 38 (2005)
Wichtmann, T., Private communication (2016)
Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the determination of a set of material constants for a high-cycle accumulation model for non-cohesive soils. Int. J. Numer. Anal. Meth. Geomech. 34, 409–440 (2010)
Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the ‘elastic’ stiffness in a high-cycle accumulation model for sand: a comparison of drained and undrained cyclic triaxial tests. Can. Geotech. J. 47(7), 791–805 (2010)
Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the ‘elastic stiffness’ in a high-cycle accumulation model - continued investigations. Can. Geotech. J. 50(12), 1260–1272 (2013)
Wichtmann, T., Niemunis, A., Triantafyllidis, T.: Improved simplified calibration procedure for a high-cycle accumulation model. Soil Dyn. Earthq. Eng. 70, 118–132 (2015)
von Wolffersdorff, P.A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-frict. Mater. 1(3), 251–271 (1996)
Zienkiewicz, O.C., Chang, C.T., Bettess, P.: Drained, undrained, consolidating and dynamic behaviour assumptions in soils. Géotechnique 30(4), 385–395 (1980)
Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics with Special Reference to Earthquake Engineering. Wiley, Chichester (1999)
Acknowledgments
The study was financed by the Deutsche Forschungsgemeinschaft as part of the Research Unit FOR 1136 ‘Simulation of geotechnical construction processes with holistic consideration of the stress strain soil behaviour’, Subproject 6 ‘Soil deformations close to retaining walls due to vibration excitations’.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Osinov, V.A. (2017). Some Aspects of the Boundary Value Problems for the Cyclic Deformation of Soil. In: Triantafyllidis, T. (eds) Holistic Simulation of Geotechnical Installation Processes. Lecture Notes in Applied and Computational Mechanics, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-52590-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-52590-7_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52589-1
Online ISBN: 978-3-319-52590-7
eBook Packages: EngineeringEngineering (R0)