ILS-MPM: An implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles

Liu, Chuanqi; Sun, WaiChing

doi:10.1016/j.cma.2020.113168

Cited by 31 publications

(10 citation statements)

References 74 publications

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“…This is the main motivation behind the choice of implicit boundary imposition by means of penalty method proposed in the current work. The penalty method has been previously used just for contact algorithm in explicit [70,71] and implicit [72] MPM. The method works seamlessly within the nonlinear implicit MPM framework established earlier for Dirichlet boundary enforcement.…”

Section: Nonconforming Boundary Enforcementmentioning

confidence: 99%

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

et al. 2021

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In many geomechanics applications, material boundaries are subjected to large displacements and deformation. Under these circumstances, the application of boundary conditions using particle methods, such as the material point method (MPM), becomes a challenging task since material boundaries do not coincide with the background mesh. This paper presents a formulation of penalty augmentation to impose nonhomogeneous, nonconforming Dirichlet boundary conditions in implicit MPM. The penalty augmentation is implemented utilizing boundary particles, which can move either according to or independently from the material deformation. Furthermore, releasing contact boundary condition, as well as the capability to accommodate slip boundaries, is introduced in the current work. The accuracy of the proposed method is assessed in both 2D and 3D cases, by convergence analysis reaching the analytical solution and by comparing the results of nonconforming and classical grid-conforming simulations.

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Section: Nonconforming Boundary Enforcementmentioning

confidence: 99%

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

et al. 2021

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“…Consider a contact between two distinct bodies. The Karush-Kuhn-Tucker (KKT) conditions for the normal and tangential contact on the contact boundary Γ c reads [25,58]:…”

Section: Thermal-sensitive Frictional Constitutive Framework For Cont...mentioning

confidence: 99%

DP-MPM: Domain partitioning material point method for evolving multi-body thermal–mechanical contacts during dynamic fracture and fragmentation

Xiao

Liu

Sun

2021

Computer Methods in Applied Mechanics and Engineering

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“…For each packing lattice, similar to the procedure adopted in Liu and Sun (2020), we prepare an initial configuration by stacking disks with slightly larger radii 5.01 mm and relaxing the configuration with the four boundaries being held fixed. We apply this protocol to generate a very small overlap between two disks.…”

Section: Preparation Of Initial Configurationsmentioning

confidence: 99%

Emerging contact force heterogeneity in ordered soft granular media

Karapiperis

Andrade

2021

Mechanics of Materials

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Under external perturbations, inter-particle forces in disordered granular media are well known to form a heterogeneous distribution with filamentary patterns. Better understanding these forces and the distribution is important for predicting the collective behavior of granular media, the media second only to water as the most manipulated material in global industry. However, studies in this regard so far have been largely confined to granular media exhibiting only geometric heterogeneity, leaving the dimension of mechanical heterogeneity a rather uncharted area. Here, through a FEM contact mechanics model, we show that a heterogeneous interparticle force distribution can also emerge from the dimension of mechanical heterogeneity alone. Specifically, we numerically study inter-particle forces in packing of mechanically heterogeneous disks arranged over either a square or a hexagonal lattice and under quasi-static isotropic compression. Our results show that, at the system scale, a hexagonal packing exhibit a more heterogeneous inter-particle force distribution than a square packing does; At the particle scale, for both packing lattices, preliminary analysis shows the consistent coexistence of outliers (i.e., softer disks sustaining larger forces while stiffer disks sustaining smaller forces) in comparison to their homogeneous counterparts, which implies the existence of nonlocal effect. Further analysis on the portion of outliers and on spatial contact force correlations suggest that the hexagonal packing shows more pronounced nonlocal effect over the square packing under small mechanical heterogeneity. However, such trend is reversed when assemblies becomes more mechanically heterogeneous. Lastly, we confirm that, in the absence of particle reorganization events, contact friction merely plays the role of packing stabilization while its variation has little effect on inter-particle forces and their distribution.

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ILS-MPM: An implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles

Cited by 31 publications

References 74 publications

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation

DP-MPM: Domain partitioning material point method for evolving multi-body thermal–mechanical contacts during dynamic fracture and fragmentation

Emerging contact force heterogeneity in ordered soft granular media

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