Kolling, Stefan ; Mueller, R. (2005)
On configurational forces in short-time dynamics and their computation with an explicit solver.
In: Computational Mechanics, 35 (5)
doi: 10.1007/s00466-004-0627-4
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
A theoretical description and a computational method to calculate configurational forces in the context of the finite element (FE) method is presented. With respect to problems in short-time dynamics, the fully 3D-case and large deformations in hyper-elastic materials are taken into account. The FE implementation and numerical analysis of different structures demonstrates the applicability of this field of mechanics. In the chosen derivation, the Lagrangian depends on the deformation gradient and on the position (in the reference configuration) explicitly, which accounts for inhomogeneous materials, e.g. materials with phase boundaries, voids or cracks. Analogous to the local balance of linear momentum, the so-called Eshelby stress satisfies a configurational force balance (balance of momentum for the material motion problem), where configurational (or material) forces appear as volume forces in the physical space. A consistent FE description is obtained by formulating the weak form of the configurational force balance. Thus, the configurational forces acting on the finite element nodes may be computed after the physical boundary value problem is solved. For the static case and small deformations, the configurational force is strongly related to the well known J-integral in fracture mechanics.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2005 |
| Autor(en): | Kolling, Stefan ; Mueller, R. |
| Art des Eintrags: | Bibliographie |
| Titel: | On configurational forces in short-time dynamics and their computation with an explicit solver |
| Sprache: | Englisch |
| Publikationsjahr: | April 2005 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computational Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 35 |
| (Heft-)Nummer: | 5 |
| DOI: | 10.1007/s00466-004-0627-4 |
| URL / URN: | http://link.springer.com/10.1007/s00466-004-0627-4 |
| Kurzbeschreibung (Abstract): | A theoretical description and a computational method to calculate configurational forces in the context of the finite element (FE) method is presented. With respect to problems in short-time dynamics, the fully 3D-case and large deformations in hyper-elastic materials are taken into account. The FE implementation and numerical analysis of different structures demonstrates the applicability of this field of mechanics. In the chosen derivation, the Lagrangian depends on the deformation gradient and on the position (in the reference configuration) explicitly, which accounts for inhomogeneous materials, e.g. materials with phase boundaries, voids or cracks. Analogous to the local balance of linear momentum, the so-called Eshelby stress satisfies a configurational force balance (balance of momentum for the material motion problem), where configurational (or material) forces appear as volume forces in the physical space. A consistent FE description is obtained by formulating the weak form of the configurational force balance. Thus, the configurational forces acting on the finite element nodes may be computed after the physical boundary value problem is solved. For the static case and small deformations, the configurational force is strongly related to the well known J-integral in fracture mechanics. |
| 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 16 Fachbereich Maschinenbau |
| Hinterlegungsdatum: | 04 Mai 2022 09:42 |
| Letzte Änderung: | 04 Mai 2022 09:42 |
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