An adaptive finite element material point method and its application in extreme deformation problems

Lian, Yuan; Zhang, Xiong; Liu, Y.

doi:10.1016/j.cma.2012.06.015

Cited by 69 publications

(16 citation statements)

References 34 publications

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“…The numerical predictions in Figure 18 show acceptable agreement with the experimental results given in [19]. It is noteworthy that the computed solutions are similar to those given in Lian et al [34], who performed their material point method simulations using the classical interpolation procedure instead of the GIMP procedure used here. However, the results are not directly comparable, as Lian et al used the Drucker-Prager constitutive model, which for low friction angles is not equivalent to the Mohr-Coulomb model with the same parameters (for more information see e.g.…”

Section: Simulation Of the Experiments Shown By Lube Et Al [32]supporting

confidence: 78%

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Evaluation of material point method for use in geotechnics

Sołowski

Sloan

2014

Num Anal Meth Geomechanics

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SUMMARYThe first part of the paper presents a material point method solution for the bearing capacity of a deep foundation in purely cohesive soil, which is a widely known engineering problem. The results computed with the generalised interpolation material point method are compared to the results obtained previously with an advanced limit analysis code. The second part of the paper shows material point method simulations of collapsing piles of granular material and compares the results with experimental observations from the literature. The problems considered are problematic to solve using the displacement finite element method as they generally include very large deformations.

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Section: Simulation Of the Experiments Shown By Lube Et Al [32]supporting

confidence: 78%

“…It is noteworthy that the computed solutions are similar to those given in Lian et al . , who performed their material point method simulations using the classical interpolation procedure instead of the GIMP procedure used here. However, the results are not directly comparable, as Lian et al .…”

Section: Collapse Of Granular Materialsmentioning

confidence: 99%

Evaluation of material point method for use in geotechnics

Sołowski

Sloan

2014

Num Anal Meth Geomechanics

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“…Note that granular flow is still simulated by the MPM. Inspired by the success of the adaptive finite element MPM, we project a discrete element to 9 material points to couple the discrete element and MPM material points.…”

Section: Introductionmentioning

confidence: 99%

Coupling of material point method and discrete element method for granular flows impacting simulations

Liu

Sun

Zhou

2018

Numerical Meth Engineering

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Summary Granular debris flows are composed of coarse solid particles, which may be from disaggregated landslides or well‐weathered rocks on a hill surface. The estimation of agitation and the flow process of granular debris flows are of great importance in the prevention of disasters. In this work, we conduct physical experiments of sandpile collapse, impacting 3 packed wooden blocks. The flow profile, run‐out distance, and rotation of blocks are measured. To simulate the process, we adopt a material point method (MPM) to model granular flows and a deformable discrete element method (DEM) to model blocks. Each block is treated as comprising 9 material points to couple the MPM and DEM, and the acceleration of grid nodes arising from the contacts between granular material and blocks is projected to the discrete element nodes working as body forces. The contacts between blocks are detected using the shrunken point method. The simulation results agree well with the experimental results. Thus, the coupling method of MPM and DEM developed in this work would be helpful in the damage analysis of buildings under impact from the debris flows.

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“…For what concerns the coupling of MPM and FEM, only very few studies are available in the literature [24,13,23,25]. For simplicity, it is assumed that the interaction to be simulated is that of two solid bodies: one undergoing large deformations, modeled with MPM and one subject to small deformations, modeled with FEM.…”

Section: Introductionmentioning

confidence: 99%

Monolithic coupling of the implicit material point method with the finite element method

Aulisa

Capodaglio

2019

Computers & Structures

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A monolithic coupling between the material point method (MPM) and the finite element method (FEM) is presented. The MPM formulation described is implicit, and the exchange of information between particles and background grid is minimized. The reduced information transfer from the particles to the grid improves the stability of the method. Once the residual is assembled, the system matrix is obtained by means of automatic differentiation. In such a way, no explicit computation is required and the implementation is considerably simplified. When MPM is coupled with FEM, the MPM background grid is attached to the FEM body and the coupling is monolithic. With this strategy, no MPM particle can penetrate a FEM element, and the need for computationally expensive contact search algorithms used by existing coupling procedures is eliminated. The coupled system can be assembled with a single assembly procedure carried out element by element in a FEM fashion. Numerical results are reported to display the performances and advantages of the methods here discussed.

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An adaptive finite element material point method and its application in extreme deformation problems

Cited by 69 publications

References 34 publications

Evaluation of material point method for use in geotechnics

Evaluation of material point method for use in geotechnics

Coupling of material point method and discrete element method for granular flows impacting simulations

Monolithic coupling of the implicit material point method with the finite element method

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