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<p>Reinforced concrete (RC) components subjected to seismic loading exhibit complex hysteretic behavior characterized by stiffness degradation, strength deterioration, and pinching. Advanced hysteretic models, such as the widely used Pinching4 formulation, can reproduce complex hysteretic behavior with high fidelity. However, they employ multiple damage indices to represent degradation mechanisms in a decoupled manner, which increases calibration complexity and may result in parameter sets that lack physical consistency. This paper presents a coupled, damage-driven uniaxial hysteresis model for RC components, in which stiffness degradation, strength deterioration, and pinching evolution are linked to a single Park–Ang damage index. The proposed formulation incorporates a bilinear unloading rule that captures two-stage stiffness degradation, providing a physically grounded alternative to the single-slope unloading assumptions adopted in conventional models. The model requires only seven cyclic hysteretic parameters that govern the hysteresis rules, thereby simplifying calibration and improving numerical robustness. Calibration against 12 RC specimens demonstrated that the proposed model accurately reproduces complex cyclic responses. Furthermore, nonlinear time-history analyses (NLTHA) of a full-scale RC bridge column subjected to sequential earthquake records, as well as a three-dimensional plan-irregular frame under bidirectional ground motions, confirmed that the model reliably predicts displacement responses while reducing computational runtime by 37.9% relative to Pinching4 model. The proposed formulation thus provides an accurate and computationally efficient tool for the seismic performance assessment of deteriorating RC structures.</p>

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Coupled seismic hysteretic degradation in reinforced concrete components based on park-ang damage index

  • 期刊论文

  • 发表日期：

    2026年7月22日

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  • Mohamed Mokhtar,
  • Ke Du,
  • Huan Luo

摘要

Reinforced concrete (RC) components subjected to seismic loading exhibit complex hysteretic behavior characterized by stiffness degradation, strength deterioration, and pinching. Advanced hysteretic models, such as the widely used Pinching4 formulation, can reproduce complex hysteretic behavior with high fidelity. However, they employ multiple damage indices to represent degradation mechanisms in a decoupled manner, which increases calibration complexity and may result in parameter sets that lack physical consistency. This paper presents a coupled, damage-driven uniaxial hysteresis model for RC components, in which stiffness degradation, strength deterioration, and pinching evolution are linked to a single Park–Ang damage index. The proposed formulation incorporates a bilinear unloading rule that captures two-stage stiffness degradation, providing a physically grounded alternative to the single-slope unloading assumptions adopted in conventional models. The model requires only seven cyclic hysteretic parameters that govern the hysteresis rules, thereby simplifying calibration and improving numerical robustness. Calibration against 12 RC specimens demonstrated that the proposed model accurately reproduces complex cyclic responses. Furthermore, nonlinear time-history analyses (NLTHA) of a full-scale RC bridge column subjected to sequential earthquake records, as well as a three-dimensional plan-irregular frame under bidirectional ground motions, confirmed that the model reliably predicts displacement responses while reducing computational runtime by 37.9% relative to Pinching4 model. The proposed formulation thus provides an accurate and computationally efficient tool for the seismic performance assessment of deteriorating RC structures.