Abstract
In this paper, the stability of infinitely long submerged slopes subject to rapid sedimentation processes is theoretically/numerically investigated. In particular, rapid deposition is considered as a potential triggering factor for static liquefaction in inclined loose sand layers. The corresponding initial boundary value problem is numerically analysed by employing a one-dimensional finite difference scheme in conjunction with two distinct versions of the same constitutive model—elasto-plastic and elasto-viscoplastic (EV). The EV approach is shown to be the most suitable for describing the onset of liquefaction phenomena, since its mathematical well-posedness and numerical stability are never lost. The results of parametric analyses for both homogeneous and inhomogeneous strata are critically discussed in the light of some case history data concerning natural and anthropic sedimentation processes.
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Andresen, A., Bjerrum, L.: Slides in subaqueous slopes in loose sand and silt. Norwegian Geotechnical Institute N.81, pp. 1–9 (1968)
Buscarnera G., Whittle A.J.: Constitutive modelling approach for evaluating the triggering of flow slides. Canad Geotechnical J. 49(5), 499–511 (2012)
Buscarnera G., Whittle A.J.: Model prediction of static liquefaction: influence of the initial state on potential instabilities. J. Geotechnical Geoenviron. Eng. 139(3), 420–432 (2013)
di Prisco C., Nova R., Lanier J.: A mixed isotropic-kinematic hardening constitutive law for sand. In: Kolymbas, D. (ed.) Modern Approaches to Plasticity, pp. 83–124. Elsevier, Amsterdam (1993)
di Prisco., C.: Sand anisotropy: experimental investigation and mathematical modelling (in Italian). Ph.D. Thesis, Politecnico di Milano (1993)
di Prisco, C., Nova, R., et al.: Stability problems related to static liquefaction of loose sand. In: Chambon Localisation and Bifurcation Theory for Soils and Rocks, pp. 59–72. Balkema, Rotterdam (1994)
Prisco C., Matiotti R., Nova R.: Theoretical investigation of the undrained stability of shallow submerged slopes. Géotechnique 45(3), 479–496 (1995)
Prisco C.: A mathematical interpretation of the volumetric instability of loose sands. Comput. Geotechnics 18(3), 225–244 (1996)
Prisco C., Imposimato S.: Time dependent mechanical behaviour of loose sands. Mech. Cohesive Frict. Mat. I, 45–73 (1996)
Prisco C., Imposimato S.: Static liquefaction of a loose sand stratum. Int. J. Solids Struct. 39, 3523–3541 (2002)
Gibson R.E.: The progress of consolidation in a clay layer increasing in thickness with time. Géotechnique 8(4), 171–182 (1958)
Hungr O.: A model for the runout analysis of rapid flow slide, debris flows and avalanches. Canad. Geotechnical J. 32, 610–623 (1995)
Hutchinson J.N.: A sliding-consolidation model for flow slides. Canad. Geotechnical J. 23, 115–126 (1986)
Imposimato S., Nova R.: An investigation on the uniqueness of the incremental models for virgin sand. Mech. Cohesive Frict. Mat. 3, 65–87 (1998)
Konrad J.M.: The Nerlerk berm case history: some consideration for the design of hydraulic sand. Canad. Geotechnical J. 28, 601–612 (1991)
Kramer S.L., Seed H.B.: Initiation of soil liquefaction under static loading conditions. J. Geotechnical Eng. 114(4), 412–430 (1988)
Locat J., Homa J.L., Nelson H., Schwab W.C., Twichell D.C.: Analysis of the mobility of far reaching debris flows on the Mississippi Fan, Gulf of Mexico. Landslides, Senneset (Ed.). Balkema, Rotterdam (1996)
Mancinelli, L., Zanelotti, L.: Stability analysis of submerged infinite slopes (in Italian). Master dissertation, Politecnico di Milano (1997)
Mastbergen, D.R., Winterwerp, J.C., Bezuijen, A.: On the construction of sand fill dams—part 1: Hydraulic aspects. Modelling Soil-Water structure interaction, Kolkman, et al. (eds.), 1988, 353–362
Montrasio, L., Nova, R., Renzi, R.: Experimental investigation and theoretical interpretation of the mechanical behaviour of the Pontida clay (in Italian). Internal report—CNR (1992)
Nova, R.: A note on sand liquefaction and soil stability. Proc. Third Int. Conf. on Constitutive Laws fo Engineering Materials: Theory and Applications, Tucson, pp. 153-156, 7–12 January 1991
Perzyna P.: The constitutive equations for rate sensitive plastic materials. Q. Appl. Math. 20, 321–332 (1963)
Robertson P.K., Wride C.E.: Evaluating cyclic liquefaction potential using the cone penetration test. Canad. Geotechnical J. 35, 442–459 (1998)
Sladen J.A., D’Hollander R.D., Krahn J., Mitchell D.E.: Back analysis of the Nerlerk berm liquefaction slides. Canad. Geotechnical J. 22, 579–588 (1985)
Terzaghi, K.: Varieties of submarines slope failures. Norwegian Geotechnical Institute N.25, pp. 1–16 (1957)
Toorman E.A.: Sedimentation and self-weight consolidation: general unifying theory. Géotechnique 46(1), 103–113 (1996)
Yin J.H., Graham J.: Elastic visco-plastic modelling of one-dimensional consolidation. Géotechnique 46(3), 515–527 (1996)
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Communicated by Angela Madeo and Francois Nicot.
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di Prisco, C., Mancinelli, L., Zanelotti, L. et al. Numerical stability analysis of submerged slopes subject to rapid sedimentation processes. Continuum Mech. Thermodyn. 27, 157–172 (2015). https://doi.org/10.1007/s00161-014-0344-y
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DOI: https://doi.org/10.1007/s00161-014-0344-y