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Bounding surface plasticity model with reversal surfaces for the monotonic and cyclic shearing of sands

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Abstract

The paper describes the formulation and simulative potential of a constitutive model for monotonic and cyclic shearing of sands. It is a SANISAND-type model that does not consider a (small) yield surface and employs the last stress reversal point for defining both the elastic and the plastic strain rates. Emphasis is put on the updating of the stress reversal point to avoid stress-strain overshooting. It incorporates a fabric evolution index that scales the plastic modulus targeting strain accumulation with cycles and a post-liquefaction formulation affecting the dilatancy function. The paper includes the calibration process of the 14 model parameters. Model performance is verified against a large database of monotonic and cyclic shearing tests on Toyoura and Ottawa-F65 sands. To complement sand-specific data, empirical relations are used for validating the shear modulus at small strains, its degradation with cyclic shear strain, the corresponding increase in hysteretic damping, the evolving rates of volumetric and shear strain accumulation with cycles and the effect of relative density and stress level on liquefaction resistance. Model verification shows that a single set of sand-specific parameters may be used for both monotonic and cyclic shearing of any strain level, irrespective of stress level and relative density.

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Acknowledgements

This scientific paper was supported by the Onassis Foundation-Scholarship ID: G ZO 013-1/2018-2019, awarded to the first author. In addition, the help of Dr. Yannis K. Chaloulos is gratefully acknowledged, for introducing the first author to the use of dynamic link library and to the problem of stress–strain overshooting. Finally, the authors express their gratitude to the 3 anonymous reviewers for their help in upgrading the quality of the paper.

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  1. School of Civil Engineering, National Technical University of Athens, Athens, Greece

    Taxiarchoula G. Limnaiou & Achilleas G. Papadimitriou

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Appendix

Appendix

This section presents Table 3 and Table 4 that summarize the information about the laboratory tests employed in the model validation process, i.e., in Figs. 7 through 19. This information includes the sand name, the type of test and its initial conditions in terms of void ratio eo, axial effective stress σa,o, mean effective stress po and state parameter ψο.

See Tables 3 and 4.

Table 3 Initial conditions of tests used in model validation process against experimental data
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Table 4 Initial conditions of tests used in model validation process against empirical relations.
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Limnaiou, T.G., Papadimitriou, A.G. Bounding surface plasticity model with reversal surfaces for the monotonic and cyclic shearing of sands. Acta Geotech. 18, 235–263 (2023). https://doi.org/10.1007/s11440-022-01529-1

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