A hypoplastic macroelement for single vertical piles in sand subject to three-dimensional loading conditions

Li, Zheng; Kotronis, Panagiotis; Escoffier, Sandra; Tamagnini, Claudio

doi:10.1007/s11440-015-0415-7

Cited by 68 publications

(64 citation statements)

References 54 publications

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“…Its simplicity and robustness make it an ideal basic model to build more sophisticated models, e.g., critical state model and high-order model [5,8,9,13,30,31]. The failure surface is derived from the constitutive equation and likes that of DruckerPrager.…”

Section: Discussionmentioning

confidence: 99%

“…In general, c 3 assumes different values in (6) and (8). The performance of (8) [20] used a different set of material parameters, which can be related to the three material parameters E i , m i and / crt .…”

Section: Basic Model: From Wu To Wolffersdorffmentioning

confidence: 99%

“…We proceed to remedy equation (8) by including the term rðtr _ Þ to obtain the following basic model:…”

Section: Basic Model: From Wu To Wolffersdorffmentioning

confidence: 99%

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A basic hypoplastic constitutive model for sand

Lin

Wang

2017

Acta Geotech.

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Hypoplastic constitutive models are based on nonlinear tensor functions and are characterized by simple formulation and few parameters. In its early stage, mainly basic hypoplastic constitutive equations were concerned, where the stress tensor is assumed as the only state variable. There followed some enhanced models based on the basic constitutive equation by including void ratio as an additional state variable. In this paper, we first show that the widely used hypoplastic model by Wolffersdorff is seriously flawed because the underlying basic equation does not perform properly. We proceed to develop a basic hypoplastic constitutive equation by introducing a new tensorial term, which preserves the critical state at large strain. The model performance is demonstrated by parameter study for some element tests. This simple and robust basic equation is well suited to build more sophisticated models.

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Section: Discussionmentioning

confidence: 99%

Section: Basic Model: From Wu To Wolffersdorffmentioning

confidence: 99%

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A basic hypoplastic constitutive model for sand

Lin

Wang

2017

Acta Geotech.

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“…It is shown that the model (21) is applicable to both initially and fully developed plastic deformation of granular materials with drained or undrained conditions [41,43]. It will reduce to the original one (16) when the void ratio e is equal to the critical value e crt from (22) and (23). It means, for same material, same constants c 1 $ c 4 will be obtained for the original and extended models in the case of e ¼ e ecrt .…”

Section: Introductionmentioning

confidence: 95%

“…Recently some improved models have been available, e.g. [12,23,35], which are developed from some widely used versions of hypoplastic model [28,37] and aim to improve the dependence of stiffness on pressure and density. However, the capability of these models for capturing the phenomenon of liquefaction and the stability in the cases of large deformation or low confining pressure still need to be verified.…”

Section: Introductionmentioning

confidence: 99%

A hypoplastic constitutive model for debris materials

Guo¹,

Peng²,

Wu³

et al. 2016

Acta Geotech.

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Debris flow is a very common and destructive natural hazard in mountainous regions. Pore water pressure is the major triggering factor in the initiation of debris flow. Excessive pore water pressure is also observed during the runout and deposition of debris flow. Debris materials are normally treated as solid particle-viscous fluid mixture in the constitutive modeling. A suitable constitutive model which can capture the solid-like and fluid-like behavior of solid-fluid mixture should have the capability to describe the developing of pore water pressure (or effective stresses) in the initiation stage and determine the residual effective stresses exactly. In this paper, a constitutive model of debris materials is developed based on a framework where a static portion for the frictional behavior and a dynamic portion for the viscous behavior are combined. The frictional behavior is described by a hypoplastic model with critical state for granular materials. The model performance is demonstrated by simulating undrained simple shear tests of saturated sand, which are particularly relevant for the initiation of debris flows. The partial and full liquefaction of saturated granular material under undrained condition is reproduced by the hypoplastic model. The viscous behavior is described by the tensor form of a modified Bagnold's theory for solid-fluid suspension, in which the drag force of the interstitial fluid and the particle collisions are considered. The complete model by combining the static and dynamic parts is used to simulate two annular shear tests. The predicted residual strength in the quasi-static stage combined with the stresses in the flowing stage agrees well with the experimental data. The non-quadratic dependence between the stresses and the shear rate in the slow shear stage for the relatively dense specimens is captured.

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