A Lagrangian PFEM approach for non-Newtonian viscoplastic materials

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Chair / Department / Institute
Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
Document typeArticle
Defense date2017-07
PublisherUniversitat Politècnica de Catalunya. CIMNE
Rights accessOpen Access
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.
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.
CitationLarese, A. A Lagrangian PFEM approach for non-Newtonian viscoplastic materials. "Revista internacional de métodos numéricos para cálculo y diseño en ingeniería", Juliol 2017, vol. 33, núm. 3-4, p. 307-317.
ISSN0213-1315
1886-158X
1886-158X
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