A kinematic hardening soil model considering the principal stress rotation

Abstract

SUMMARY In this article, a typical and representative kinematic hardening soil model is first studied to investigate its capabilities to reproduce soil responses under principal stress rotations (PSR). It is found that the model is capable of reproducing the non‐coaxiality very well. It can qualitatively capture the trends of responses of different stress and strain components, without the capability to quantitatively reproduce these responses. Its prediction of volumetric responses is the poorest and can give wrong results in many cases. The underlying reasons for these capabilities and defects are analyzed in detail. The model is subsequently modified to better take into account the PSR influences. An additional new flow rule and plastic modulus for the PSR are developed. One important feature of the model is that it is developed in the general stress space with six stress variables. Therefore, it can take into account multiple PSRs at different directions. Another feature is that it retains the linear stress rate–strain rate relationship, which facilitates its numerical implementations. In addition, the universal characteristic of the theory makes it equally applicable to other kinematic hardening models. Copyright © 2012 John Wiley & Sons, Ltd.

Experimental investigation on the deformation characteristics of granular materials under drained rotational shear

“…Based on laboratory observations, a number of advanced constitutive models have been developed, e.g., bounding surface hypoplasticity model (Li and Dafalias 2004;Lashkari and Latifi 2008;Yang and Yu 2012), yield vertex model (Tsutsumi and Hashiguchi 2005), double shearing model (Zhu 2006 a, b), yield vertex and double shearing model (Yu 2008). A state parameter has been introduced in the models to quantify the effect of material anisotropy, and often for simplicity, it is assumed that material anisotropy remains unchanged during the process of loading even though induced anisotropy has been noticed as early as in 1940Õs (Casagrande and Carrillo 1944).…”

Numerical simulation of earthquake-induced liquefactions considering the principal stress rotation

“…As a result, it constrains the reduction of effective confining pressure near the phase transformation line under the PSR. Yang & Yu (2013) gives detailed discussions on this deficiency. To better simulate the responses under the PSR, a new model needs to be developed based on the original model, in order to properly take into account the PSR impact.…”

“…Detailed description of the modified model can be found in Yang & Yu (2013), and a brief introduction is given here. In the modified model, the plastic strain rate is split into the monotonic strain rate represent monotonic and PSR loading hereinafter, respectively.…”

“…The PSR soil model considers the PSR effect by treating the stress rate generating the PSR independently. The model has been validated in single element studies with different types of sand, such as Nevada sand (Yang et al, 2014), Toyoura sand (Yang & Yu, 2013), Leighton Buzzard sand (Wang et al, 2016), etc. All the results demonstrate that this model can properly simulate the PSR effects in singe element studies.…”

Modeling soil behaviors under principal stress rotations

“…One can refer to Yang & Yu (2012) for detailed descriptions, and a brief description is presented in this section. …”