A Lagrangian PFEM approach for non-Newtonian viscoplastic materials

Abstract

This paper presents the application of a stabilized mixed Particle Finite Element Method (PFEM) to the solution of viscoplastic non-Newtonian flows. The application of the proposed model to the deformation of granular non-cohesive material is analysed. A variable yield threshold modified Bingham model is presented, using a Mohr Coulomb resistance criterion.\ud \ud Since the granular material is expected to undergo severe deformation, a Lagrangian approach is preferred to a fixed mesh one. PFEM is the adopted technique.\ud \ud The detail of the discretization procedure is presented and the Algebraic Sub-Grid Scale (ASGS) stabilization technique is introduced to allow for the use of equal order interpolations for velocity and pressure in a consistent way. The matrix form of the problem is given.\ud \ud Finally, the differences between the regularized Bingham and the variable yield models are discussed in some examples.Peer ReviewedPostprint (published version

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

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Influence of DE-cluster refinement on numerical analysis of rockfall experiments

“…Additionally a detailed discussion of the comparison between simulation results and test results highlights that a coarse description of the impacting object renders poor results (Figs. 9,18,19), while a reasonable representation of the impacting object geometry can be achieved without significantly increasing computational time (Fig. 21).…”

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

“…[13,18]). In [61], the Algebraic Sub-Grid Scale stabilization technique is introduced to stabilize mixed pressure velocity PFEM formulation. Examples of other stabilization techniques can be found in [111,113].…”

“…17to represent the behaviour of frictional viscoplastic materials. This model has been extensively used in the PFEM framework to simulate the flow of soil or granular material in [22,61,117].…”