Kuhn, Charlotte ; Lohkamp, Richard ; Schneider, Frank ; Aurich, Jan C. ; Müller, Ralf (2015)
Finite element computation of discrete configurational forces in crystal plasticity.
In: International Journal of Solids and Structures, 56-57
doi: 10.1016/j.ijsolstr.2014.12.004
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this contribution the theory of configurational forces is applied to a viscoplastic material model with plastic slip in the basal and prismatic slip systems of an hcp crystal structure. Thereby the derivation of the configurational force balance is related to a translational invariance of the underlying energetics. The computation of configurational forces in this dissipative media requires the computation of gradients of the internal variables. In the context of the finite element method, this usually requires a projection of integration point data to the global mesh nodes. Alternatively, the gradients can be computed using a rather unknown subelement technique. The numerical accuracy of the different methods is qualitatively and quantitatively analyzed from a configurational force point of view. In a final example, the influence of the crystal orientation and plastic slip in multiple slip systems on the loading of a mode I crack is discussed with the help of the computed configurational forces. Furthermore, the influence of hardening is considered in this scenario.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2015 |
| Autor(en): | Kuhn, Charlotte ; Lohkamp, Richard ; Schneider, Frank ; Aurich, Jan C. ; Müller, Ralf |
| Art des Eintrags: | Bibliographie |
| Titel: | Finite element computation of discrete configurational forces in crystal plasticity |
| Sprache: | Englisch |
| Publikationsjahr: | März 2015 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | International Journal of Solids and Structures |
| Jahrgang/Volume einer Zeitschrift: | 56-57 |
| DOI: | 10.1016/j.ijsolstr.2014.12.004 |
| URL / URN: | https://linkinghub.elsevier.com/retrieve/pii/S00207683140045... |
| Kurzbeschreibung (Abstract): | In this contribution the theory of configurational forces is applied to a viscoplastic material model with plastic slip in the basal and prismatic slip systems of an hcp crystal structure. Thereby the derivation of the configurational force balance is related to a translational invariance of the underlying energetics. The computation of configurational forces in this dissipative media requires the computation of gradients of the internal variables. In the context of the finite element method, this usually requires a projection of integration point data to the global mesh nodes. Alternatively, the gradients can be computed using a rather unknown subelement technique. The numerical accuracy of the different methods is qualitatively and quantitatively analyzed from a configurational force point of view. In a final example, the influence of the crystal orientation and plastic slip in multiple slip systems on the loading of a mode I crack is discussed with the help of the computed configurational forces. Furthermore, the influence of hardening is considered in this scenario. |
| 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 09:21 |
| Letzte Änderung: | 03 Mai 2022 09:21 |
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