The particle finite element method for transient granular material flow: modelling and validation

Larsson, Simon; Prieto, Juan Manuel Rodríguez; Gustafsson, Gustaf; Häggblad, Hans‐Åke; Jonsén, Pär

doi:10.1007/s40571-020-00317-6

Cited by 24 publications

(16 citation statements)

References 84 publications

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“…In contrast to the PFEM, each particle in the MPM has fixed mass, which naturally guarantees mass conservation. However, the fixed mass meanwhile leads to difficulty in adding or removing particles from the system (Larsson et al, 2020). The computational cost of the MPM is lower than that of the PFEM according to simulations with the same formulation (Papakrivopoulos, 2018).…”

Section: Introductionmentioning

confidence: 99%

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The mechanical origin of snow avalanche dynamics and flow regime transitions

Sovilla²,

Jiang

et al. 2020

The Cryosphere

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Abstract. Snow avalanches cause fatalities and economic damage. Key to their mitigation is the understanding of snow avalanche dynamics. This study investigates the dynamic behavior of snow avalanches, using the material point method (MPM) and an elastoplastic constitutive law for porous cohesive materials. By virtue of the hybrid Eulerian–Lagrangian nature of the MPM, we can handle processes involving large deformations, collisions and fractures. Meanwhile, the elastoplastic model enables us to capture the mixed-mode failure of snow, including tensile, shear and compressive failure. Using the proposed numerical approach, distinct behaviors of snow avalanches, from fluid-like to solid-like, are examined with varied snow mechanical properties. In particular, four flow regimes reported from real observations are identified, namely, cold dense, warm shear, warm plug and sliding slab regimes. Moreover, notable surges and roll waves are observed peculiarly for flows in transition from cold dense to warm shear regimes. Each of the flow regimes shows unique flow characteristics in terms of the evolution of the avalanche front, the free-surface shape, and the vertical velocity profile. We further explore the influence of slope geometry on the behavior of snow avalanches, including the effect of slope angle and path length on the maximum flow velocity, the runout angle and the deposit height. Unified trends are obtained between the normalized maximum flow velocity and the scaled runout angle as well as the scaled deposit height, reflecting analogous rules with different geometry conditions of the slope. It is found that the maximum flow velocity is mainly controlled by the friction between the bed and the flow, the geometry of the slope, and the snow properties. We reveal the crucial effect of both flow and deposition behaviors on the runout angle. Furthermore, our MPM modeling is calibrated and tested with simulations of real snow avalanches. The evolution of the avalanche front position and velocity from the MPM modeling shows reasonable agreement with the measurement data from the literature. The MPM approach serves as a novel and promising tool to offer systematic and quantitative analysis for mitigation of gravitational hazards like snow avalanches.

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Section: Introductionmentioning

confidence: 99%

“…Data availability. All the relevant data are available on Zenodo at https://doi.org/10.5281/zenodo.3965795 (Li et al, 2020a).…”

mentioning

confidence: 99%

The mechanical origin of snow avalanche dynamics and flow regime transitions

Sovilla²,

Jiang

et al. 2020

The Cryosphere

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“…As PFEM uses a Lagrangian formulation no convective terms and their inherent numerical difficulties are present in the balance equations. Since its original development, the application of PFEM has spread to problems in solid mechanics [41], thermo-mechanics [9,42], granular materials [43][44][45][46][47], fluid-structure interaction [43,48], contact of deformable bodies [49] and additive manufacturing processes [50]. Both explicit and implicit time integration schemes can be used for PFEM, although most of the times an implicit time integration has been preferred [51].…”

Section: The Particle Finite Element Methodsmentioning

confidence: 99%

Implicit or explicit time integration schemes in the PFEM modeling of metal cutting processes

et al. 2021

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This work presents the development of an explicit/implicit particle finite element method (PFEM) for the 2D modeling of metal cutting processes. The purpose is to study the efficiency of implicit and explicit time integration schemes in terms of precision, accuracy and computing time. The formulation for implicit and explicit time marching schemes is developed, and a detailed study on the explicit solution steps is presented. The PFEM remeshing procedures for insertion and removal of particles have been improved to model the multiple scales of time and/or space of the solution. The detection and treatment of the rigid tool contact are presented for both, implicit and explicit schemes. The performance of explicit/implicit integration is studied with a set of different two-dimensional orthogonal cutting tests of AISI 4340 steel at cutting speeds ranging from 1 m/s up to 30 m/s. It was shown that if the correct selection of the time integration scheme is made, the computing time can decrease up to 40 times. It allows us to affirm that the computing time of the PFEM simulations can be excessive due to the used time marching scheme independently of the meshing process. As a practical result, a set of recommendations to select the time integration schemes for a given cutting speed are given. This is intended to minimize one of the negative constraints pointed out by the industry when using metal cutting simulators.

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“…References [84,104,106,107] applied their PFEM-solid methods to different types of manufacturing processes, [4,11,12] analyzed tunneling and excavation applications, while bed erosion in river dynamics was tackled in [81,82,86]. Several PFEM-solid formulations have been proposed in the field of soil mechanics and geotechnal engineering, especially for the modelling of frictional materials and granular flows [10,24,56,66,127,128] and for different types of geomechanics problems [75][76][77][78]…”

Section: Pfem For Non-linear Solid and Contact Mechanicsmentioning

confidence: 99%

“…Recently, a PFEM-solid formulation has been validated against several experimental tests of the collapse of granular columns [66], while in [56] a granular flow simulation has been carried out using a nodal integration method.…”

Section: Granular Flowsmentioning

confidence: 99%

A State of the Art Review of the Particle Finite Element Method (PFEM)

Cremonesi

Franci

Idelsohn

et al. 2020

Arch Computat Methods Eng

105

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The particle finite element method (PFEM) is a powerful and robust numerical tool for the simulation of multi-physics problems in evolving domains. The PFEM exploits the Lagrangian framework to automatically identify and follow interfaces between different materials (e.g. fluid–fluid, fluid–solid or free surfaces). The method solves the governing equations with the standard finite element method and overcomes mesh distortion issues using a fast and efficient remeshing procedure. The flexibility and robustness of the method together with its capability for dealing with large topological variations of the computational domains, explain its success for solving a wide range of industrial and engineering problems. This paper provides an extended overview of the theory and applications of the method, giving the tools required to understand the PFEM from its basic ideas to the more advanced applications. Moreover, this work aims to confirm the flexibility and robustness of the PFEM for a broad range of engineering applications. Furthermore, presenting the advantages and disadvantages of the method, this overview can be the starting point for improvements of PFEM technology and for widening its application fields.

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The particle finite element method for transient granular material flow: modelling and validation

Cited by 24 publications

References 84 publications

The mechanical origin of snow avalanche dynamics and flow regime transitions

The mechanical origin of snow avalanche dynamics and flow regime transitions

Implicit or explicit time integration schemes in the PFEM modeling of metal cutting processes

A State of the Art Review of the Particle Finite Element Method (PFEM)

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