Comparison of elements and state-variable transfer methods for quasi-incompressible material behaviour in the particle finite element method
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| Název: | Comparison of elements and state-variable transfer methods for quasi-incompressible material behaviour in the particle finite element method |
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| Autoři: | Schewe, Markus, Bartel, Thorsten, Menzel, Andreas |
| Přispěvatelé: | Lund University, Faculty of Engineering, LTH, Departments at LTH, Department of Construction Sciences, Solid Mechanics, Lunds universitet, Lunds Tekniska Högskola, Institutioner vid LTH, Institutionen för byggvetenskaper, Hållfasthetslära, Originator |
| Zdroj: | Computational Mechanics. 75(2):755-773 |
| Témata: | Engineering and Technology, Mechanical Engineering, Applied Mechanics, Teknik, Maskinteknik, Teknisk mekanik |
| Popis: | The Particle Finite Element Method (PFEM) is attractive for the simulation of large deformation problems, e.g. in free-surface fluid flows, fluid–structure interaction and in solid mechanics for geotechnical engineering and production processes. During cutting, forming or melting of metal, quasi-incompressible material behaviour is often considered. To circumvent the associated volumetric locking in finite element simulations, different approaches have been proposed in the literature and a stabilised low-order mixed formulation (P1P1) is state-of-the-art. The present paper compares the established mixed formulation with a higher order pure displacement element (TRI6) under 2d plane strain conditions. The TRI6 element requires specialized handling, involving the deletion and re-addition of edge-mid-nodes during triangulation remeshing. The robustness of both element formulations is analysed along with different state-variable transfer schemes, which are not yet widely discussed in the literature. The influenceof the stabilisation factor in the P1P1 element formulation is investigated, and an equation linking this factor to the Poisson ratio for hyperelastic materials is proposed. |
| Přístupová URL adresa: | https://doi.org/10.1007/s00466-024-02531-y |
| Databáze: | SwePub |
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Nájsť tento článok vo Web of Science | Abstrakt: | The Particle Finite Element Method (PFEM) is attractive for the simulation of large deformation problems, e.g. in free-surface fluid flows, fluid–structure interaction and in solid mechanics for geotechnical engineering and production processes. During cutting, forming or melting of metal, quasi-incompressible material behaviour is often considered. To circumvent the associated volumetric locking in finite element simulations, different approaches have been proposed in the literature and a stabilised low-order mixed formulation (P1P1) is state-of-the-art. The present paper compares the established mixed formulation with a higher order pure displacement element (TRI6) under 2d plane strain conditions. The TRI6 element requires specialized handling, involving the deletion and re-addition of edge-mid-nodes during triangulation remeshing. The robustness of both element formulations is analysed along with different state-variable transfer schemes, which are not yet widely discussed in the literature. The influenceof the stabilisation factor in the P1P1 element formulation is investigated, and an equation linking this factor to the Poisson ratio for hyperelastic materials is proposed. |
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| ISSN: | 01787675 14320924 |
| DOI: | 10.1007/s00466-024-02531-y |