TY - JOUR
T1 - A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
JO - Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería
T2 -
AU - Larese,A.
SN - 02131315
M3 - 10.1016/j.rimni.2016.07.002
DO - 10.1016/j.rimni.2016.07.002
UR - /02131315/0000003300000034/v1_201705221028/S021313151630030X/v1_201705221028/en/main.assets
AB - 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.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.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.Finally, the differences between the regularized Bingham and the variable yield models are discussed in some examples.
ER