A complete stress update algorithm for the non-associated Drucker–Prager model including treatment of the apex

Hjiaj, Mohammed; Fortin, Jérôme; Saxcé, Géry de

doi:10.1016/s0020-7225(02)00376-2

Cited by 61 publications

(40 citation statements)

References 18 publications

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“…The Drucker-Prager criterion was suggested by Drucker and Prager in 1952 Yingren, et al [43] called the Extended Von Mises criterion as well, has been widely used for rock and soil materials and still attracts many researchers today [44] it is used to predict failure strength and be employed for plastic potential in continuum damage mechanic model. The advantages of the Drucker-Prager criterion are its simplicity and its smooth and, with the exception of some of the modified criteria, symmetric failure surface in the stress-space, which facilitate its implementation into numerical codes [45].…”

Section: Drucker-prager Failure Criterionmentioning

confidence: 99%

Analyzing of Slope Stability by Difference Model of Behavior

Abderrahmane

Berga

2016

Asian Engineering Review

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Landslides are triggered around the world in different conditions, always are spectacular and often dramatic. The assessment and analysis of this problem is a very important act as risk prevention in geotechnical engineering. Many developments in geotechnical engineering research about applications, theory and practice to assess slope stability. All these improve the understanding of phenomena in realty. The researches of behavior of soils are also in development. There are numerous models of behavior of soils, from the elastic-plastic model to more sophisticated behavior models describing almost all aspects of elastic-visco-plastic behavior of soils. These models have been developed in order to be integrated into software. This article deals with the slope stability analysis, by the technique of shear strength reduction (SSR) coupled to the finite element method. Three criterions are used, the first is the Mohr-Coulomb failure criterion, and the second is the Hoek-Brown, the third is Drucker-Prager criterion. The factors of safety and the slide surfaces of this slope are analyzed by these criterions then compared and discussed. By making the comparative study, that can be captured and understood for appropriate use in engineering applications.

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Section: Drucker-prager Failure Criterionmentioning

confidence: 99%

Analyzing of Slope Stability by Difference Model of Behavior

Abderrahmane

Berga

2016

Asian Engineering Review

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“…Drucker-Prager yield criterion is in line with the real characteristics of rock and soil materials and widely applied in the geotechnical engineering problem [20,21]. This paper adopted the Drucker-Prager and tensile yield criterion [22] (concrete and rock material has low tensile strength, so tensile yield criterion is mandatory) for analysis.…”

Section: Non-linear Femmentioning

confidence: 99%

Evaluating the safety of high arch dams with fractures based on numerical simulation and geomechanical model testing

Liu

Pan

et al. 2015

Sci. China Technol. Sci.

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It is important to estimate the probability of fracture extension and its impact on the safety of arch dams with fractures. Numerical simulation and geomechanical model test were combined to evaluate the overall stability and the extension probability of fractures. Numerical simulation forecasted the dam displacement and the operating behavior based on the parameters obtained from the back analysis. Geomechanical model test was based on small block masonry and the models with or without fractures were both tested. The results show that the deformation of dams is in line with general rules at a normal water load and the extension probability of the existing fractures is very small, which has no significant impact on the global stability of dams. Moreover, the failure process of arch dams with the existing fractures in dams at overload scenarios is similar to the one without the embedded fractures, i.e., the failure crack which is not caused by the existing fractures inside comes into being on the surface of dams itself. numerical simulation, geomechanical model test, safety evaluation, arch dams, fractures Citation: He Z, Liu Y R, Pan Y W, et al. Evaluating the safety of high arch dams with fractures based on numerical simulation and geomechanical model testing. Sci China Tech Sci,

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“…According to mean value theorems for integration, equation (2) can hold exactly if / f ∂ ∂σ is determined by a proper stress state from σ to 1 σ .…”

Section: Perfect Elasto-plastic Constitutive Relation Integrationmentioning

confidence: 99%

“…In the field of elastic-plastic analysis, limit analysis corresponds to perfect elasto-plastic analysis employing associated flow rule. Drucker-Prager yield criteria is widely used for rock and soil materials and still attracts many researchers today [1]. One of the key problems of elastic-plastic numerical analysis is constitutive relation integration, which directly influences the precision and convergence of elastic-plastic computation.…”

Section: Introductionmentioning

confidence: 99%

Integration Algorithms Based on Drucker-Prager Criterion and Application in Slope Stability Analysis

Pan

Liu

Qian³

et al. 2013

Springer Series in Geomechanics and Geoengineering

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Summary. In this paper, an incremental analysis method of perfect elasto-plastic constitutive relation based on Drucker-Prager criteria is adopted in nonlinear finite element computation, which is of first-order accuracy and unconditional stable. This method converges for either small load steps or large load steps. The method was embedded into a 3D nonlinear FEM software named TFINE and applied to stability analysis of Dagangshan high slope. Both theoretical analysis and numerical example show that the method is suitable for limit analysis and can achieve high accuracy to large load increment.

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A complete stress update algorithm for the non-associated Drucker–Prager model including treatment of the apex

Cited by 61 publications

References 18 publications

Analyzing of Slope Stability by Difference Model of Behavior

Analyzing of Slope Stability by Difference Model of Behavior

Evaluating the safety of high arch dams with fractures based on numerical simulation and geomechanical model testing

Integration Algorithms Based on Drucker-Prager Criterion and Application in Slope Stability Analysis

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