Techno Press
Techno Press

Structural Engineering and Mechanics   Volume 13, Number 5, May 2002, pages 491-504
DOI: http://dx.doi.org/10.12989/sem.2002.13.5.491
 
A 2D hybrid stress element for improved prediction of the out-of-plane fields using Fourier expansion
Feng ML, Dhanasekar M, Xiao QZ

 
Abstract     [Full Text]
    Recently we formulated a 2D hybrid stress element from the 3D Hellinger-Reissner principle for the analysis of thick bodies that are symmetric to the thickness direction. Polynomials have typically been used for all the displacement and stress fields. Although the element predicted the dominant stress and all displacement fields accurately, its prediction of the out-of-plane shear stresses was affected by the very high order terms used in the polynomials. This paper describes an improved formulation of the 2D element using Fourier series expansion for the out-of-plane displacement and stress fields. Numerical results illustrate that its predictions have markedly improved.
 
Key Words
    hybrid stress element, out-of-plane fields, plane deformation, Fourier-series expansion, 3-D elastic theory
 
Address
Feng ML, Univ Cent Queensland, Fac Engn & Phys Syst, Rockhampton MC, Qld 4702, Australia
Univ Cent Queensland, Fac Engn & Phys Syst, Rockhampton MC, Qld 4702, Australia
Univ Sci & Technol China, Dept Modern Mech, Hefei 230026, Peoples R China
 

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