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

Liang Chen, Si Wei Liu, Siu Lai Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


Moment-thrust-curvatures (M-P-Φ 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-Φ 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-Φ 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.

Original languageEnglish
Pages (from-to)557-569
Number of pages13
JournalSteel and Composite Structures
Issue number5
Publication statusPublished - 10 Dec 2017


  • Composite
  • Concrete
  • Moment-curvature analysis
  • Numerical
  • Section
  • Steel

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Metals and Alloys


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