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Analysis of moderately thin-walled beam cross-sections by cubic isoparametric elements

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Authors:
  • Høgsberg, Jan Becker ;
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    Orcid logo0000-0002-1098-3245
    Department of Mechanical Engineering, Technical University of Denmark
  • Krenk, Steen
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    Orcid logo0000-0002-8535-294X
    Department of Mechanical Engineering, Technical University of Denmark
DOI:
10.1016/j.compstruc.2014.01.002
Abstract:
In technical beam theory the six equilibrium states associated with homogeneous tension, bending, shear and torsion are treated as individual load cases. This enables the formulation of weak form equations governing the warping from shear and torsion. These weak form equations are solved numerically by introducing a cubic-linear two-dimensional isoparametric element. The cubic interpolation of this element accurately represents quadratic shear stress variations along cross-section walls, and thus moderately thin-walled cross-sections are effectively discretized by these elements. The ability of this element to represent curved geometries, and to accurately determine cross-section parameters and shear stress distributions is demonstrated.
Type:
Journal article
Language:
English
Published in:
Computers and Structures, 2014, Vol 134, p. 88-101
Keywords:
Cross-section analysis; Beam stiffness parameter; Finite Element Method; Isoparametric element
Main Research Area:
Science/technology
Publication Status:
Published
Review type:
Peer Review
Submission year:
2014
Scientific Level:
Scientific
ID:
260007361

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