A multi-physics peridynamics-DEM-IB-CLBM framework for the prediction of erosive impact of solid particles in viscous fluids

Abstract

In this paper, a new fully-resolved framework capable of capturing the fundamental physics of particle-fluid interactions, the collision of particles with solid surfaces, and the resulting damage is proposed. A coupled DEM-IB-CLBM, consisting of a discrete element method (DEM), an immersed boundary (IB) method, and a cascaded lattice Boltzmann method (CLBM), is used to fully resolve the interaction of the particles with the surrounding viscous fluid. The peridynamics theory is then implemented and used to predict the impact damage to the target material. This framework is validated by comparing the trajectory of a particle-wall collision event in a viscous fluid with the previous results in the literature. Furthermore, the variation of the restitution coefficient with the impact velocity is in a good agreement with the available experimental results. The influence of multiple impacts and the resulting surface damage on the fluid dynamics of the system is investigated. It is demonstrated that the method correctly predicts the expected effects of multiple collisions and impact angle variations on the surface damage.

Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture

“…The accumulation of broken bonds leads to material damage. The damage of a material point is assessed with the ratio of the number of broken bonds to all the bonds of the material point, which equals one when a material point loses all its bonds [39].…”

“…Coupling of the fluid and solid solvers using a partitioned approach can be achieved through a weak or strong scheme. We have previously developed a weak scheme to couple the peridynamic model with the IB-CLBM solver [39] by launching the two solvers sequentially. It has been demonstrated that this multi-physics computational framework can predict the erosive impact of solid particles in a flow correctly.…”

Numerical Modeling on Crack Propagation Based on a Multi-Grid Bond-Based Dual-Horizon Peridynamics

“…Owing to these advantages, it has been successfully applied to crack propagation problems [21,22], composite material damage [23,24], fluid mechanics and acoustics [25], and heat conduction analysis [26,27] etc. There are several kinds of peridynamics, such as bond-based PD [19], state-based PD [28], and element-based PD [29] etc., and they can be easily coupled with other numerical methods to deal with the interaction between different materials, such as PD-FEM [30], PD-SPH [31], and PD-DEM [32].…”

An Electromechanical Micropolar Peridynamic Model for Isotropic and Orthotropic Materials

“…The same authors proposed later a coupled peridynamic thermo-mechanic model starting from thermodynamic considerations [18], and using explicit schemes to approximate the solutions of the peridynamic equations. Other applications of peridynamics for thermo-mechanics or other multi-physics problems can be found in [19,20]. In the context of electrical conduction and coupled electro-mechanical models, Prakash and Seidel [2] developed a classical bond-based formulation for the study of the piezoresistive response of carbon nanotube reinforced polymer nanocomposite materials.…”