Müller, R. ; Kolling, S. ; Gross, D. (2002)
On configurational forces in the context of the finite element method.
In: International Journal for Numerical Methods in Engineering, 53 (7)
doi: 10.1002/nme.351
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The theory of conÿgurational forces is brie y recast, together with the underlying balance laws. It is shown, that in the case of a homogeneous body without body forces this additional balance laws are identically satisÿed if the standard force balance holds. In approximate solutions, for example obtained by ÿnite elements, the equilibrium is not satisÿed exactly, thus conÿgurational forces occur on discretization nodes. An implementation of the conÿgurational force balance into the ÿnite element scheme is presented. The use of conÿgurational forces is discussed with three main aspects. It is demonstrated how conÿgurational forces can be used to check and to improve the ÿnite element solution. Examples from fracture mechanics and problems with material inhomogeneities are discussed. Copyright ? 2001 John Wiley & Sons, Ltd.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2002 |
| Autor(en): | Müller, R. ; Kolling, S. ; Gross, D. |
| Art des Eintrags: | Bibliographie |
| Titel: | On configurational forces in the context of the finite element method |
| Sprache: | Englisch |
| Publikationsjahr: | 10 März 2002 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal for Numerical Methods in Engineering |
| Jahrgang/Volume einer Zeitschrift: | 53 |
| (Heft-)Nummer: | 7 |
| DOI: | 10.1002/nme.351 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/10.1002/nme.351 |
| Kurzbeschreibung (Abstract): | The theory of conÿgurational forces is brie y recast, together with the underlying balance laws. It is shown, that in the case of a homogeneous body without body forces this additional balance laws are identically satisÿed if the standard force balance holds. In approximate solutions, for example obtained by ÿnite elements, the equilibrium is not satisÿed exactly, thus conÿgurational forces occur on discretization nodes. An implementation of the conÿgurational force balance into the ÿnite element scheme is presented. The use of conÿgurational forces is discussed with three main aspects. It is demonstrated how conÿgurational forces can be used to check and to improve the ÿnite element solution. Examples from fracture mechanics and problems with material inhomogeneities are discussed. Copyright ? 2001 John Wiley & Sons, Ltd. |
| 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: | 04 Mai 2022 13:47 |
| Letzte Änderung: | 04 Mai 2022 13:47 |
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