A Lagrangian PFEM approach for non-Newtonian viscoplastic materials
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 mod...
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| Tipo de documento: | artigo |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/104777 |
| Acesso em linha: | https://hdl.handle.net/2117/104777 https://dx.doi.org/10.1016/j.rimni.2016.07.002 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Viscoplasticity--Mathematical models Bingham plastics Viscoplastic materials Free surface Lagrangian techniques Particle Finite Element Method PFEM Viscoplasticitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Àrees temàtiques de la UPC::Enginyeria dels materials::Materials plàstics i polímers |
| Resumo: | 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. |
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