This paper introduces a hemivariational methodology for modeling a rate-independent damage-elasto-plastic spring, specifically applied to brittle materials like Ultra High Performance Fiber Reinforced Concrete (UHP FRC). The approach is framed as an inequality reflecting both the variation and the increment of action, aligning with the principle of maximum energy dissipation rate. The model captures the tension-compression asymmetry, addressing elastic stiffness variations alongside damage and plasticity effects. Several examples are provided to illustrate the model’s effectiveness, demonstrating its computational efficiency and practical implementation. Additionally, this model can be seamlessly incorporated into a granular micromechanics framework to accurately depict the three-dimensional behavior of UHP FRC. The findings offer significant contributions to the understanding and development of UHP FRC structures, paving the way for future advancements in high-performance construction materials.

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An Analytic Formulation for a Damage-Elasto-Plastic Spring Conceived for Ultra High Performance Fiber Reinforced Concrete (UHP FRC)

  • Abdou Kandalaft,
  • Francesco Fabbrocino,
  • Anil Misra,
  • Luca Placidi

摘要

This paper introduces a hemivariational methodology for modeling a rate-independent damage-elasto-plastic spring, specifically applied to brittle materials like Ultra High Performance Fiber Reinforced Concrete (UHP FRC). The approach is framed as an inequality reflecting both the variation and the increment of action, aligning with the principle of maximum energy dissipation rate. The model captures the tension-compression asymmetry, addressing elastic stiffness variations alongside damage and plasticity effects. Several examples are provided to illustrate the model’s effectiveness, demonstrating its computational efficiency and practical implementation. Additionally, this model can be seamlessly incorporated into a granular micromechanics framework to accurately depict the three-dimensional behavior of UHP FRC. The findings offer significant contributions to the understanding and development of UHP FRC structures, paving the way for future advancements in high-performance construction materials.