Comparison of SPH boundary approaches in simulating frictional soil–structure interaction

Abstract

Two boundary algorithms in the framework of 3D smoothed particle hydrodynamics (SPH) method are proposed. The algorithms are capable of accounting for the friction and energy dissipation at elastic-plastic contacts between SPH particles and a solid boundary. Utilizing the proposed boundary algorithms, the accuracy of different methods to calculate the interaction force between SPH particles and a boundary surface is investigated. The effect of SPH artificial viscosity on the oscillation and accuracy of the calculated interaction force is also examined. It is found that using high artificial viscosities may unphysically damp out energy of the system and the use of dynamic artificial viscosity, which varies with time and space, may remediate this problem. Employing the proposed frictional boundary algorithms, the effect of basal friction on the collapse of granular columns is investigated. It is shown that the flow of a collapsing granular column can be divided into three flow regimes: a conical-shaped stationary regime, a collapsing regime, and a spreading regime. It is found that the existence and the interaction of these regimes are affected by basal friction. Additionally, the effect of basal friction on the final runout distance and deposit height is investigated.

Regularized SPH model for soil–structure interaction with generalized frictional boundary

“…Consequently, in the experiments, Lube et al observed that the flow process and final deposit are independent from the surface friction. 73 Similar observation can be found in Sheikh et al 46 and the conclusion of effective frictional angle conducted from del Castillo et al 56 is naturally included here.…”

“…The undisturbed regime will be flattened with the decreasing 𝜇 values, and the spreading regime is a thin thickness and formed by spreading particles. The comprehensive discussions on these different regimes can be found in Sheikh et al 46 Clearly, it is found that in the simulation with lesser surface friction, the radius of the spreading regime will be more significant, as shown in Figure 8. When the frictional coefficient is too small, all the materials will flow in the collapse process, as the resistance from the boundary is insufficient.…”

“…The problem of collapse of granular column (see Figure 6) was experimentally studied by Lube et al 73 and Lajeunesse et al, 74 and later was simulated using various numerical methods. In previous SPH simulations, 15,37,76 the frictional effect between the granular material and the plate is usually considered using the nonslip condition with the boundary particle method except for Sheikh et al, 46 in which a frictional boundary method is employed. In the test, a column of granular material is confined in a cylinder.…”

“…Several friction contact methods allowing arbitrary wall friction angle were proposed for SPH simulations in the past. [44][45][46][47][48] Among them, the hybrid contact method 47,49,50 combines the convenience of point-to-point contact and the accuracy of point-to-segment contact, and is suitable for problems with arbitrary geometry. In this work, it is combined with the regularized SPH model to solve large deformation soil-structure problems.…”

Smoothed Particle Hydrodynamics Implementation of the Standard Viscous-Plastic Sea-Ice Model and Validation in Simple Idealized Experiments

“…SPH has been used successfully for the modelling of other granular materials such as sand, gravels and soils (Salehizadeh and Shafiei, 2019;Yang et al, 2020;Sheikh et al, 2020). In the context of mesoscale and larger sea-ice modelling, Gutfraind and Savage (1997) initiated the SPH study of sea-ice dynamics using a VP rheology based on a Mohr-Coulomb failure criterion.…”