Sabel, Matthias ; Sator, Christian ; Zohdi, Tarek I. ; Müller, Ralf (2017)
Application of the Particle Finite Element Method in Machining Simulation Discussion of the Alpha-Shape Method in the Context of Strength of Materials.
In: Journal of Computing and Information Science in Engineering, 17 (1)
doi: 10.1115/1.4034434
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In particle finite element simulations, a continuous body is represented by a set of particles that carry all physical information of the body, such as the deformation. In order to form this body, the boundary of the particle set needs to be determined. This is accomplished by the α-shape method, where the crucial parameter α controls the level of detail of the detected shape. However, in solid mechanics, it can be observed that α has an influence on the structural integrity as well. In this paper, we study a single boundary segment of a body during a deformation and it is shown that α can be interpreted as the maximum stretch of this segment. On the continuum level, a relation between α and the eigenvalues of the right Cauchy–Green tensor is presented.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2017 |
| Autor(en): | Sabel, Matthias ; Sator, Christian ; Zohdi, Tarek I. ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Application of the Particle Finite Element Method in Machining Simulation Discussion of the Alpha-Shape Method in the Context of Strength of Materials |
| Sprache: | Englisch |
| Publikationsjahr: | März 2017 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Computing and Information Science in Engineering |
| Jahrgang/Volume einer Zeitschrift: | 17 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1115/1.4034434 |
| URL / URN: | https://asmedigitalcollection.asme.org/computingengineering/... |
| Kurzbeschreibung (Abstract): | In particle finite element simulations, a continuous body is represented by a set of particles that carry all physical information of the body, such as the deformation. In order to form this body, the boundary of the particle set needs to be determined. This is accomplished by the α-shape method, where the crucial parameter α controls the level of detail of the detected shape. However, in solid mechanics, it can be observed that α has an influence on the structural integrity as well. In this paper, we study a single boundary segment of a body during a deformation and it is shown that α can be interpreted as the maximum stretch of this segment. On the continuum level, a relation between α and the eigenvalues of the right Cauchy–Green tensor is presented. |
| Zusätzliche Informationen: | Artikel-ID: 011002 |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Kontinuumsmechanik |
| Hinterlegungsdatum: | 03 Mai 2022 09:41 |
| Letzte Änderung: | 03 Mai 2022 09:41 |
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