Wang, Min-Zhong ; Xu, Bai-Xiang ; Zhao, Bao-Sheng (2012)
On the Generalized Plane Stress Problem, the Gregory Decomposition and the Filon Mean Method.
In: Journal of Elasticity, 108 (1)
doi: 10.1007/s10659-011-9352-3
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In the present paper a stress general solution is obtained for the generalized plane stress problem with planar body forces, and it is demonstrated that only body force of biharmonic type ensures the compatibility with the generalized plane stress assumptions (σ33=0). Inspired by the Filon perspective of average values, two more generalized plane stress problems with weak assumptions on the out-of-plane stress averages (̄σ33=0or∇2̄σ33=0) are studied, and the averages of the corresponding stress fields are expressed by the Airy stress functions. The authors also provide an alternative proof of the Gregory decomposition theory.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2012 |
| Autor(en): | Wang, Min-Zhong ; Xu, Bai-Xiang ; Zhao, Bao-Sheng |
| Art des Eintrags: | Bibliographie |
| Titel: | On the Generalized Plane Stress Problem, the Gregory Decomposition and the Filon Mean Method |
| Sprache: | Englisch |
| Publikationsjahr: | 2012 |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Elasticity |
| Jahrgang/Volume einer Zeitschrift: | 108 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1007/s10659-011-9352-3 |
| Kurzbeschreibung (Abstract): | In the present paper a stress general solution is obtained for the generalized plane stress problem with planar body forces, and it is demonstrated that only body force of biharmonic type ensures the compatibility with the generalized plane stress assumptions (σ33=0). Inspired by the Filon perspective of average values, two more generalized plane stress problems with weak assumptions on the out-of-plane stress averages (̄σ33=0or∇2̄σ33=0) are studied, and the averages of the corresponding stress fields are expressed by the Airy stress functions. The authors also provide an alternative proof of the Gregory decomposition theory. |
| Freie Schlagworte: | Elasticity, Generalized plane stress problem, Filon average, Gregory, decomposition, General solution |
| 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: | 18 Apr 2013 08:04 |
| Letzte Änderung: | 26 Jan 2024 09:21 |
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