Abstract
Separation of time scales is used in a high cycle accumulation (HCA) model for sand. An important difficulty of the model is the limited applicability of the Miner’s rule to multiaxial cyclic loadings applied simultaneously or in a combination with monotonic loading. Another problem is the lack of simplified objective HCA formulas for geotechnical settlement problems. Possible solutions of these problems are discussed.
Similar content being viewed by others
References
Hettler, A. (1981), Verschiebungen starrer und elastischer Gründungskörper in Sand bei monotoner und zyklischer Belastung, Ph.D. Thesis, Institut für Boden- und Felsmechanik der Universität Karlsruhe, Heft Nr. 90.
Miner, M.A. (1945), Cumulative damage in fatigue, J. Appl. Mech. 12,3, 159–164.
Morland, L.W., and A. Sawicki (1983), Amixture model for the compaction of saturated sand, Mech. Mater. 2,3, 203–216, DOI: 10.1016/0167-6636(83)90015-7.
Morland, L.W., and Sawicki (1985), A model for compaction and shear hysteresis in saturated granular materials, J. Mech. Phys. Solids 33,1, 1–24, DOI: 10.1016/0022-5096(85)90019-5.
Mróz, Z., and V.A. Norris (1982), Elastoplastic and viscoplastic constitutive models for soils with application to cyclic loading. In: G.N. Pande and O.C. Zienkiewicz (eds.), Soil Mechanics — Transient and Cyclic Loads, 173–218, John Wiley and Sons, Chichester.
Niemunis, A., and I. Herle (1997), Hypoplastic model for cohesionless soils with elastic strain range, Mech. Cohes.-Frict. Mat. 2,4, 279–299, DOI: 10.1002/(SICI)1099-1484(199710)2:4〈279::AID-CFM29〉3.0.CO;2-8.
Niemunis, A., T. Wichtmann, and Th. Triantafyllidis (2005), A high-cycle accumulation model for sand, Comput. Geotech. 32,4, 245–263, DOI: 10.1016/j.compgeo.2005.03.002.
Niemunis, A., T. Wichtmann, and Th. Triantafyllidis (2007), On the definition of the fatigue loading for sand. In: J.-H. Yin, X.S. Li, A.T. Yeung, and C.S. Desai (eds.), InternationalWorkshop on Constitutive Modelling-Development, Implementation, Evaluation and Application, 12–13 January 2007, Hong Kong, 399–404.
Niemunis, A., L.F. Prada-Sarmiento, and C.E. Grandas-Tavera (2011), Paraelasticity, Acta Geotech. 6,2, 67–80, DOI: 10.1007/s11440-011-0137-4.
O’Riordan, N.J. (1991), Effects of cyclic loading on the long term settlement of structures. In: M.P. O’Reilly and S.F. Brown (eds.), Cyclic Loading of Soils: From Theory to Design, Chapman & Hall, London, 411–433.
Sawicki, A. (1991), Mechanika gruntów dla obciaążen cyklicznych, Wydawnictwo IBW PAN, Gdansk (in Polish).
Solf, O. (2012), Zum mechanischen Verhalten von zyklisch belasteten Offshore-Gründungen, Ph.D. Thesis, Institut für Boden- und Felsmechanik der Universität Karlsruhe (TH), Heft Nr. 176 (in German).
Suiker, A.S.J. (1998), Fatigue behaviour of granular materials, Tech. Rep. 7-98-119-3, Delft University of Technology, Faculty of Civil Engineering, Delft, The Netherlands.
Wichtmann, T. (2005) Explicit accumulation model for non-cohesive soils under cyclic loading, Ph.D. Thesis, Ruhr-University Bochum, Heft Nr. 38.
Wichtmann, T., A. Niemunis, and Th. Triantafyllidis (2005), Strain accumulation in sand due to cyclic loading: drained triaxial tests, Soil Dyn. Earthq. Eng. 25,12, 967–979, DOI: 10.1016/j.soildyn.2005.02.022.
Wichtmann, T., A. Niemunis, and Th. Triantafyllidis (2009), Validation and calibration of a high-cycle accumulation model based on cyclic triaxial tests on eight sands, Soils Found. 49,5, 711–728, DOI: 10.3208/sandf.49.711.
Wichtmann, T., A. Niemunis, and Th. Triantafyllidis (2010a), Towards the FE prediction of permanent deformations of offshore wind power plant foundations using a high-cycle accumulation model. In: Int. Symp. Frontiers in Offshore Geotechnics, Perth, Australia 2010, 635–640.
Wichtmann, T., A. Niemunis, and Th. Triantafyllidis (2010b), Strain accumulation in sand due to drained cyclic loading: on the effect of monotonic and cyclic preloading (Miner’s rule), Soil Dyn. Earthq. Eng. 30,8, 736–745, DOI: 10.1016/j.soildyn.2010.03.004.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Niemunis, A., Wichtmann, T. Separation of time scales in the HCA model for sand. Acta Geophys. 62, 1127–1145 (2014). https://doi.org/10.2478/s11600-014-0221-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.2478/s11600-014-0221-x