A thermomechanical framework of plasticity based on probabilistic micromechanics

Einav, Itai; Collins, Ian

doi:10.2140/jomms.2008.3.867

Cited by 19 publications

(11 citation statements)

References 44 publications

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“…It is also shown that isotropic or kinematic hardening rule did not significantly improve (if at all) the qualitative nature of the simulated cyclic geomaterial response. These findings seem to nicely support the probabilistic micromechanical simulation results by Einav and Collins [27].…”

Section: Discussion and Concluding Remarkssupporting

confidence: 88%

Probabilistic yielding and cyclic behavior of geomaterials

Sett

Jeremić

2010

Num Anal Meth Geomechanics

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SUMMARYIn this paper, the novel concept of probabilistic yielding is used for 1-D cyclic simulation of the constitutive behavior of geomaterials. Fokker-Planck-Kolmogorov equation-based probabilistic elastic-plastic constitutive framework is applied for obtaining the complete probabilistic (probability density function) material response. Both perfectly plastic and hardening-type material models are considered. It is shown that when uncertainties in material parameters are taken into consideration, even the simple, elastic-perfectly plastic model captures some of the important features of geomaterial behavior, for example, modulus reduction with cyclic strain, which, deterministically, is only possible with more advanced constitutive models. Furthermore, it is also shown that the use of isotropic and kinematic hardening rules does not significantly improve the probabilistic material response.

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Section: Discussion and Concluding Remarkssupporting

confidence: 88%

Probabilistic yielding and cyclic behavior of geomaterials

Sett

Jeremić

2010

Num Anal Meth Geomechanics

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“…What is observed in any laboratory experiment is the ensemble average (mean) behavior of all the particle contacts. Similar conclusion was developed by Einav and Collins (2008), using probabilistic micro-mechanical simulation. It may be noted that the point-location scale constitutive simulation presented in this paper doesn't account for the scale effect.…”

Section: Simulation Of G/g Max and Damping Behaviorsupporting

confidence: 78%

Soil Uncertainty and Its Influence on Simulated G/Gmax and Damping Behavior

Sett

Unutmaz

Çetin

et al. 2011

J. Geotech. Geoenviron. Eng.

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In this paper, recently developed probabilistic elasto-plasticity is applied in simulating cyclic behavior of clay. Simple von Mises elastic-perfectly plastic material model is used for simulation. Probabilistic soil parameters, elastic shear modulus (G max) and undrained shear strength (s u), that are needed for the simulation are obtained from correlations with SPT N-value. It has been shown that the probabilistic approach to geomaterial modeling captures some of the important aspects-modulus reduction, material damping ratio, and modulus degradation-of cyclic behavior of clay reasonably well, even with the simple elastic-perfectly plastic material model.

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“…Chiang (1992) and Chiang and Beck (1994) demonstrated that a much simpler 3-D plasticity model can be developed based on the parallel-series model, rather than the series-parallel model. This has also been demonstrated by Einav (2005) and Einav and Collins (2008). The constitutive model consists of a number of 3-D linear-elastic, perfectly-plastic components acting in parallel.…”

Section: Iwan Modelsmentioning

confidence: 68%

3-D Masing Behavior of a Parallel Iwan Model

Dawson¹,

Roth²,

Su³

2013

Iacge 2013

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A plasticity model for simulating 3-D hysteretic behavior of frictional materials is presented. The model, implemented in the program FLAC 3D , is a generalization of the 1-D parallel Iwan model, in which a number of components are connected in parallel, each component consisting of a linear elastic spring in series with a perfectly plastic slider. This simple arrangement produces non-linear stressstrain curves and hysteretic, Masing behavior for 1-D cyclic loading. Remarkably, this approach also works for 3-D cyclic loading. For generalization to 3-D, the constitutive model consists of a number of 3-D linear-elastic perfectly-plastic components with Drucker-Prager yield conditions. All components are subjected to the same strain, with the global stress defined as the average of the component stresses. This simple framework is straightforward to implement numerically, leading to a robust tool for analysis of general 3-D stress paths. The 3-D Masing behavior of the Iwan model is demonstrated for simultaneous cyclic loading in two and three orthogonal directions. The interaction between stress-strain loops in orthogonal directions is explored. Further work is required to validate the predicted interaction against laboratory experiments.

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A thermomechanical framework of plasticity based on probabilistic micromechanics

Cited by 19 publications

References 44 publications

Probabilistic yielding and cyclic behavior of geomaterials

Probabilistic yielding and cyclic behavior of geomaterials

Soil Uncertainty and Its Influence on Simulated G/Gmax and Damping Behavior

3-D Masing Behavior of a Parallel Iwan Model

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