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<p>A new and explicit approach is established toward bypassing usual analytical and numerical complexities in analyzing elastoplastic flexural behaviors of various composite beams until failure. Both the varying neutral axis and the flexural moment are in a direct and unified manner determined from the flexural curvature. Results are applicable to various cases of both the constituent material and the rebar reinforcement. Novelties in a few respects are incorporated. First, within a general constitutive framework of finite elastoplastic deformations with failure effects, it is disclosed that the stress distributions over the tension and the compression zone can be just prescribed by the uniaxial tensile and compressive stress–strain functions of the constituent material from hardening to softening. Then, the latter two can further be given in explicit forms. Eventually, the elastoplastic bending problem of various composite beams is accordingly reduced to a simple issue of fitting these forms to tension and compression data from uniaxial testing. Numerical examples are provided for bending responses of an aluminum plate strip and three ultra-high-performance concrete beams and an I-shaped girder with reinforcing rebars. Model predictions are in good agreement with experimental data for these cases.</p>

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An explicit and unified finite strain analysis for elastoplastic bending responses of various composite beams up to failure

  • 期刊论文

  • 发表日期：

    2025年6月5日

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  • Haonan He,
  • Quanpu Liu,
  • Siyu Wang,
  • Lin Zhan,
  • Otto Bruhns,
  • Heng Xiao

摘要

A new and explicit approach is established toward bypassing usual analytical and numerical complexities in analyzing elastoplastic flexural behaviors of various composite beams until failure. Both the varying neutral axis and the flexural moment are in a direct and unified manner determined from the flexural curvature. Results are applicable to various cases of both the constituent material and the rebar reinforcement. Novelties in a few respects are incorporated. First, within a general constitutive framework of finite elastoplastic deformations with failure effects, it is disclosed that the stress distributions over the tension and the compression zone can be just prescribed by the uniaxial tensile and compressive stress–strain functions of the constituent material from hardening to softening. Then, the latter two can further be given in explicit forms. Eventually, the elastoplastic bending problem of various composite beams is accordingly reduced to a simple issue of fitting these forms to tension and compression data from uniaxial testing. Numerical examples are provided for bending responses of an aluminum plate strip and three ultra-high-performance concrete beams and an I-shaped girder with reinforcing rebars. Model predictions are in good agreement with experimental data for these cases.