A Coupled MPM-FDM Analysis Method for Multi-Phase Elasto-Plastic Soils

Higo, Yosuke; Oka, Fusao; Kimoto, Sayuri; Morinaka, Yuta; Goto, Yusuke; Chen, Zhen

doi:10.3208/sandf.50.515

Cited by 38 publications

(8 citation statements)

References 30 publications

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“…MPM can also be used to develop simulations that consider pore water and pore air. Such simulations have been already reported (Higo et al 2010). The introduction of highly enhanced constitutive models into the author's MPM numerical simulations is therefore desired in the future.…”

Section: Comparison With Previous Studiesmentioning

confidence: 98%

Numerical study of shear band formation in triaxial compression tests

Kiriyama

2016

JGS Special Publication

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Numerical simulations of triaxial compression tests are performed in order to investigate the applicability of the material point method (MPM) to large-deformation geotechnical problems. A Mohr-Coulomb constitutive model is adopted as a geotechnical nonlinearity, for which parameters are obtained by experimental results. The stress-strain relationships obtained in the simulations show good agreement with the experiments at high levels of strain, thus demonstrating the effectiveness of MPM. Parametric studies are also performed in order to investigate factors that influence the relationship between the initial and final shear bands observed during simulations of triaxial compression tests. The main findings of the study are followings: (1) initial shear bands are generated near the constrained edges of a specimen; (2) when both top and bottom edges of a specimen are constrained, initial shear bands near the edges at which the external forces are applied develop finally into clear shear bands; (3) specimen geometry has a major influence on the formation of shear bands in the case of rectangular specimens.

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Section: Comparison With Previous Studiesmentioning

confidence: 98%

Numerical study of shear band formation in triaxial compression tests

Kiriyama

2016

JGS Special Publication

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“…In this approach, the solid skeleton is represented in the Lagrangian formulation using material coordinates and the water phase is represented in the Eulerian formulation using the spatial coordinates (mass of water is not conserved). Most studies on the two-phase formulation neglect the relative acceleration of water with respect to the solid skeleton and consider the u-p formulation for the governing equations with the generalised Darcy's equation (Zhang et al, 2009;Higo et al, 2010;Zabala & Alonso, 2011). This approach is required, as the Eulerian description is used to describe the water phase, which is limited to compute only the relative velocity of water with respect to the solid skeleton without storing its true velocity and updating its location.…”

Section: The Mpm For Soil-water Coupled Problemsmentioning

confidence: 99%

“…Higo et al (2010) adopted a different approach in which they coupled the MPM with the FDM in order to separate the calculation of pore water pressures using a continuity equation at background cell centres by the FDM. Higo et al (2010) extended the above approach to model unsaturated soil behaviour using a coupled MPM-FDM approach. Yerro et al (2015) recently extended the single layer MPM approach to model unsaturated soils.…”

Section: The Mpm For Soil-water Coupled Problemsmentioning

confidence: 99%

“…Separate material points for the fluid are used to simulate the seepage of water through the porous soil skeleton (Abe et al, 2013;Bandara & Soga, 2015). Higo et al (2010) used coupled MPM with FDM to study seepage response of saturated and partially saturated soils. Governing equations for the soil skeleton and the pore fluid are discretised by the MPM and FDM, respectively.…”

Section: Drawbacksmentioning

confidence: 99%

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Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method

et al. 2016

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Traditional geotechnical analyses for landslides involve failure prediction (i.e. onset of failure) and the design of structures that can safely withstand the applied loads. The analyses provide limited information on the post-failure behaviour. Modern numerical methods are able to simulate large mass movements and there is an opportunity to utilise such methods to evaluate the risks of catastrophic damage if a landslide occurs. In this paper, various large-deformation analysis methods are introduced and their applicability for solving landslide problems is discussed. Since catastrophic landslides often involve seepage forces, consideration of the coupled behaviour of soil and pore fluid is essential. Two approaches to model soil–pore fluid coupling in large-deformation analysis using the material point method (MPM) are introduced. An example simulation is presented for each approach; one on a model levee failure and the other on a natural cut slope failure (the Selborne experiment conducted by Cooper and co-workers in 1998). In the levee failure case, MPM simulation was able to capture a complex failure mechanism including the development of successive shear bands. The simulation was also able to predict excess pore pressure generation during the failure propagation and the subsequent consolidation stage. The simulations demonstrated the importance of the dilation characteristics of soil as well as changes in geometry for the post-failure behaviour. In the Selborne case, MPM was able to simulate the progressive failure of brittle, overconsolidated clay. The evolution of shear stresses along the failure surface was also captured by the MPM. The changes in the pore pressure and the actual shape of the failure surface were simulated by the MPM. The importance of accurately modelling the shear band within the MPM framework is highlighted.Peer ReviewedPostprint (published version

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“…The MPM is intermediate between the Lagrangian and Eulerian methods. This method can provide a large deformation analysis with constitutive model (e.g., Zabala and Alonso, 2011;Cuomo et al, 2013) and a seepage-deformation coupled analysis (Higo et al, 2010).…”

Section: Introductionmentioning

confidence: 99%

Slope stability analysis using smoothed particle hydrodynamics (SPH) method

Nonoyama

Moriguchi

Sawada

et al. 2015

Soils and Foundations

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In conventional deformation analysis of geomaterials, the infinitesimal and the finite deformation theories have been widely used. These theories have been successfully implemented in several numerical methods, such as finite element method (FEM). As a result, it is now possible to predict a wide variety of deformation behaviors of geomaterials. However, when dealing with large deformation problems using the framework of the FEM, excess distortion of the FEM mesh may lead to instability of the calculation.In this study, in order to solve large deformation problem of geomaterials, the smoothed particle hydrodynamics (SPH) method is used. The method is a kind of particle method based on the mesh-free Lagrangian scheme, and is one of the promising numerical methods in the field of geotechnical engineering. The method can solve large deformation problems without mesh distortion. Moreover, it can handle the governing equations and existing constitutive models for geomaterials based on a continuum mechanics. Therefore, this method can represent the entire deformation process of a geomaterial from the small strain region to the large deformation region.In this paper, first, basic theory and formulation of the SPH method based on solid mechanics are summarized. Then, the result of a simple calculation is shown to verify the accuracy of the spatial derivatives based on the theory of the SPH method. Also, simulations of simple shear tests of both an elastic and elasto-plastic material are carried out and the obtained results are compared with theoretical solutions. Based on the obtained results, calculation accuracy of the method is discussed. Finally, a series of slope stability analyses are carried out. The numerical results obtained from the SPH method and the safety factors obtained from the Fellenius method are compared. The results indicated that the SPH method is able to express the same tendencies of safety factor obtained from the conventional circular slippage calculations. Moreover, the SPH method can evaluate both the deformation and stability simultaneously. Based on the series of validations and simulations, the effectiveness of the SPH method is discussed from the point of view of geotechnical engineering.

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A Coupled MPM-FDM Analysis Method for Multi-Phase Elasto-Plastic Soils

Cited by 38 publications

References 30 publications

Numerical study of shear band formation in triaxial compression tests

Numerical study of shear band formation in triaxial compression tests

Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method

Slope stability analysis using smoothed particle hydrodynamics (SPH) method

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