Abstract
With constant stretching of soil, the memory is gradually swept out and the so-called asymptotic states are reached: asymptotic states are proportional stress paths as well as particular curves in the void ratio against the mean stress plane. The so-called asymptotic state boundary surface (ASBS) serves as a graphical representation for asymptotic states. In contrast to asymptotic states, peak states of drained triaxial tests are states with vanishing stiffness. In this paper, an explicit formulation of the ASBS and peak state envelope of barodesy are introduced. Different clay types are compared with barodesy as well as with predictions by hypoplasticity. The peak states of the experiments confirm the results obtained with barodesy and hypoplasticity. It is shown that different to elastoplastic models, the ASBS does not include peak states in barodesy and hypoplasticity. In addition to standard axisymmetric simulations, investigations are also carried out in the deviatoric plane with the focus on plane strain failure.
Highlights
MEDICUS*With constant stretching of soil, the memory is gradually swept out and the so-called asymptotic states are reached: asymptotic states are proportional stress paths as well as particular curves in the void ratio against the mean stress plane
If soil is deformed with constant stretching – that is, a proportional strain path – the resulting stress path approaches asymptotically a proportional stress path (Goldscheider, 1976; Topolnicki et al, 1990; Chu & Lo, 1994). Gudehus & Mašín (2009) propose that asymptotic states are asymptotic stress ratios related with particular curves in the void ratio against the mean stress plane ( compare Wood (1990), Gudehus (2011) and Mašín (2012a))
The locus of peak states is often denoted as part of the state boundary surface (SBS) on the dry side of critical state – for example, see Lancellotta (2009); Barnes (2010) and Atkinson (2007)
Summary
With constant stretching of soil, the memory is gradually swept out and the so-called asymptotic states are reached: asymptotic states are proportional stress paths as well as particular curves in the void ratio against the mean stress plane. It is shown that different to elastoplastic models, the ASBS does not include peak states in barodesy and hypoplasticity. D stretching tensor; the symmetric part of the velocity gradient e void ratio ec stress-dependent critical void ratio M q= p′ at the critical state for triaxial compression,. M 1⁄4 6 sin φc=ð3 À sin φcÞ N value of lnð þ eÞ at p′ 1⁄4 1 kPa on the normal compression line (NCL), defined in the ln p′–lnð þ eÞ plot p′ mean effective stress, p′ 1⁄4 Àð1=3Þtr T pc′ critical pressure on the critical state line (CSL) in the ln p′–ð1 þ eÞ plot pc′à critical pressure on the CSL in the ln p′–lnð þ eÞ plot p′eà Hvorslev’s equivalent pressure on the NCL in the ln p′–lnð þ eÞ plot q deviatoric stress. Published online at www.geotechniqueletters.com on 19 February 2020. *Unit of Geotechnical and Tunnel Engineering, University of Innsbruck, Austria (Orcid:0000-0002-1197-2345)
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