Wang, Min-Zhong ; Xu, Bai-Xiang ; Gao, Yang (2014)
On the assumptions of the generalized plane stress problem and the Filon average.
In: Acta Mechanica, 225 (4-5)
doi: 10.1007/s00707-013-1036-6
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this article, we prove that the assumption of vanishing normal stress for the generalized plane stress problem can be further weakened, so that the normal stress is harmonic. The stress state under this harmonic assumption can also be decomposed into the plane stress state and the shear stress state. Finally, a necessary and sufficient condition is presented for the existence of the biharmonic Airy stress function for the Filon averaged in-plane stresses, which is shown to be weaker than the assumption of the harmonic normal stress.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2014 |
| Autor(en): | Wang, Min-Zhong ; Xu, Bai-Xiang ; Gao, Yang |
| Art des Eintrags: | Bibliographie |
| Titel: | On the assumptions of the generalized plane stress problem and the Filon average |
| Sprache: | Englisch |
| Publikationsjahr: | 2 Februar 2014 |
| Verlag: | Springer Vienna |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Acta Mechanica |
| Jahrgang/Volume einer Zeitschrift: | 225 |
| (Heft-)Nummer: | 4-5 |
| DOI: | 10.1007/s00707-013-1036-6 |
| Kurzbeschreibung (Abstract): | In this article, we prove that the assumption of vanishing normal stress for the generalized plane stress problem can be further weakened, so that the normal stress is harmonic. The stress state under this harmonic assumption can also be decomposed into the plane stress state and the shear stress state. Finally, a necessary and sufficient condition is presented for the existence of the biharmonic Airy stress function for the Filon averaged in-plane stresses, which is shown to be weaker than the assumption of the harmonic normal stress. |
| Fachbereich(e)/-gebiet(e): | 11 Fachbereich Material- und Geowissenschaften 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft 11 Fachbereich Material- und Geowissenschaften > Materialwissenschaft > Fachgebiet Mechanik Funktionaler Materialien Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen |
| Hinterlegungsdatum: | 24 Okt 2014 13:04 |
| Letzte Änderung: | 26 Jan 2024 09:21 |
| PPN: | |
| Export: | |
| Suche nach Titel in: | TUfind oder in Google |
 |
Frage zum Eintrag |
Optionen (nur für Redakteure)
 |
Redaktionelle Details anzeigen |
Drucken
Impressum