TU Darmstadt / ULB / TUbiblio

On the assumptions of the generalized plane stress problem and the Filon average

Wang, Min-Zhong and Xu, Bai-Xiang and Gao, Yang (2014):
On the assumptions of the generalized plane stress problem and the Filon average.
In: Acta Mechanica, Springer Vienna, pp. 1419-1427, 225, (4-5), ISSN 0001-5970, [Article]

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.

Item Type: Article
Erschienen: 2014
Creators: Wang, Min-Zhong and Xu, Bai-Xiang and Gao, Yang
Title: On the assumptions of the generalized plane stress problem and the Filon average
Language: English
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.

Journal or Publication Title: Acta Mechanica
Volume: 225
Number: 4-5
Publisher: Springer Vienna
Divisions: 11 Department of Materials and Earth Sciences
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences > Material Science > Mechanics of functional Materials
Zentrale Einrichtungen
Exzellenzinitiative
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Exzellenzinitiative > Graduate Schools
Date Deposited: 24 Oct 2014 13:04
Identification Number: doi:10.1007/s00707-013-1036-6
Export:

Optionen (nur für Redakteure)

View Item View Item