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<p>In the present investigation, sine-hyperbolic creep laws incorporating single- and three-state damage variables—referred to as the novel sine-hyperbolic (SH) and the Kowalewski–Hayhurst–Dyson (KHD) models, respectively—are applied to India-specific Reduced Activation Ferritic–Martensitic (IN-RAFM) steel within the framework of Continuum Damage Mechanics (CDM) using the ABAQUS finite element analysis platform. The results demonstrate that the sine-hyperbolic stress function, rather than the conventionally used power-law formulation, provides a more accurate representation of the creep strain rate and rupture behaviour of the steel. Uniaxial tensile creep data obtained at 823&#xa0;K over a stress range of 200–260&#xa0;MPa, including complete creep curves and rupture life, were used to determine the relevant material constants for both models. The findings indicate that the novel sine-hyperbolic model with a single damage state variable effectively captures the shape of the tertiary creep curve; however, the three-state variable KHD model, which accounts for ageing and creep-constrained cavitation mechanisms, offers a more comprehensive description of damage evolution. Quantitative error analysis further supports this observation, with the average normalized mean square error (NMSE) between experimental creep curves and KHD model predictions being 1.96%, compared with 3.46% for the SH model, thereby confirming the superior predictive accuracy of the KHD formulation.</p>

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Continuum damage mechanics-based sine-hyperbolic creep damage analysis of RAFM Steel

  • 期刊论文

  • 发表日期：

    2026年7月7日

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  • K. M. K. Chowdary,
  • A. R. Ballal,
  • D. R. Peshwe,
  • G. V. Prasad Reddy,
  • J. Vanaja

摘要

In the present investigation, sine-hyperbolic creep laws incorporating single- and three-state damage variables—referred to as the novel sine-hyperbolic (SH) and the Kowalewski–Hayhurst–Dyson (KHD) models, respectively—are applied to India-specific Reduced Activation Ferritic–Martensitic (IN-RAFM) steel within the framework of Continuum Damage Mechanics (CDM) using the ABAQUS finite element analysis platform. The results demonstrate that the sine-hyperbolic stress function, rather than the conventionally used power-law formulation, provides a more accurate representation of the creep strain rate and rupture behaviour of the steel. Uniaxial tensile creep data obtained at 823 K over a stress range of 200–260 MPa, including complete creep curves and rupture life, were used to determine the relevant material constants for both models. The findings indicate that the novel sine-hyperbolic model with a single damage state variable effectively captures the shape of the tertiary creep curve; however, the three-state variable KHD model, which accounts for ageing and creep-constrained cavitation mechanisms, offers a more comprehensive description of damage evolution. Quantitative error analysis further supports this observation, with the average normalized mean square error (NMSE) between experimental creep curves and KHD model predictions being 1.96%, compared with 3.46% for the SH model, thereby confirming the superior predictive accuracy of the KHD formulation.