Schneider, P. ; Kienzler, R. (2019)
Dual-energy extension of the uniform-approximation approach.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, 19 (1)
doi: 10.1002/pamm.201900222
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Abstract In the talk an extension of the uniform-approximation approach, that relies on the truncation of the elastic energy after a certain power of a geometric scaling factor, towards an analogous truncation of the dual energy is proposed. On the one hand, this allows for a derivation of fully defined boundary value problems including compatible displacement boundary conditions. On the other hand, the extension enables us to provide an a priori error estimate for the systematic error of the arising approximative models with respect to the exact three-dimensional solution. The approach is compared to the approach of a fixed kinematic assumption for the displacement field which is widely used in engineering. We show that the later approach leads in general to a more complex model for a comparable approximation accuracy so that the consistent approximation approach is to prefer.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2019 |
| Autor(en): | Schneider, P. ; Kienzler, R. |
| Art des Eintrags: | Bibliographie |
| Titel: | Dual-energy extension of the uniform-approximation approach |
| Sprache: | Englisch |
| Publikationsjahr: | 18 November 2019 |
| Verlag: | Wiley |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | PAMM — Proceedings in Applied Mathematics and Mechanics |
| Jahrgang/Volume einer Zeitschrift: | 19 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1002/pamm.201900222 |
| URL / URN: | https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.2019002... |
| Kurzbeschreibung (Abstract): | Abstract In the talk an extension of the uniform-approximation approach, that relies on the truncation of the elastic energy after a certain power of a geometric scaling factor, towards an analogous truncation of the dual energy is proposed. On the one hand, this allows for a derivation of fully defined boundary value problems including compatible displacement boundary conditions. On the other hand, the extension enables us to provide an a priori error estimate for the systematic error of the arising approximative models with respect to the exact three-dimensional solution. The approach is compared to the approach of a fixed kinematic assumption for the displacement field which is widely used in engineering. We show that the later approach leads in general to a more complex model for a comparable approximation accuracy so that the consistent approximation approach is to prefer. |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Konstruktiven Leichtbau und Bauweisen-KLuB (2023 umbenannt in Leichtbau und Strukturmechanik (LSM)) |
| Hinterlegungsdatum: | 21 Nov 2019 12:07 |
| Letzte Änderung: | 21 Nov 2019 12:07 |
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