Steel and Composite Structures

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Divergence-free algorithms for moment-thrust-curvature analysis of arbitrary sections

  • Chen, Liang (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Liu, Si-Wei (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Chan, Siu-Lai (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
  • Received : 2017.01.06
  • Accepted : 2017.07.12
  • Published : 2017.12.10
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Abstract

Moment-thrust-curvatures ($M-P-{\Phi}$ curves) are fundamental quantities for detailed descriptions of basic properties such as stiffness and strength of a section under axial loads required for accurate computation of the deformations of reinforced concrete or composite columns. Currently, the finite-element-based methods adopting small fibers for analyzing a section are commonly used for generating the $M-P-{\Phi}$ curves and they require large amounts of computational time and effort. Further, the conventional numerical procedure using the force-control method might encounter divergence problems under high compression or tension. Therefore, this paper proposes a divergence-free approach, combining the use of the displacement-control and the Quasi-Newton scheme in the incremental-iterative procedure, for generating the $M-P-{\Phi}$ curves of arbitrary sections. An efficient method for computing the strength from concrete components is employed, where the stress integration is executed by layer-based algorithms. For easy modeling of residual stress, cross sections of structural steel components are meshed into fibers for strength resultants. The numerical procedure is elaborated in detail with flowcharts. Finally, extensive validating examples from previously published research are given for verifying the accuracy of the proposed method.

Keywords

Acknowledgement

Grant : Second-order and Advanced Analysis of Arches and Curved Structures, Second-Order Analysis of Flexible Steel Cable Nets Supporting Debris, Development of an energy absorbing device for flexible rock-fall barriers, Advanced Numerical Analysis for Building Structures using High Performance Steel Materials

Supported by : Hong Kong Branch of Chinese National Engineering Research Centre for Steel Construction

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