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<p>This study investigates the Mode II fracture behavior of magnesium phosphate cement (MPC), a critical factor for the strength of assembled structure joint nodes using MPC as a sleeve grout material. An optimized Mode II fracture test was developed to minimize the influence of Mode I fracture components, resulting in a fracture pattern predominantly governed by Mode II (with fracture angles less than 23°). The average Mode II fracture energies of MPC with four mix proportions were determined as 4.047kN/m, 3.630kN/m, 2.982kN/m, and 2.115kN/m, respectively. Additionally, the average Mode II fracture energies for MPC with initial crack height ratios of 0.2, 0.3, 0.4, and 0.5 were measured at 4.411kN/m, 4.047kN/m, 3.924kN/m, and 3.478kN/m, respectively. These results demonstrate that the Mode II fracture energy of MPC is positively correlated with its compressive strength and is significantly influenced by the initial crack height ratio. Building on these findings, a bi-linear distribution model based on boundary effect theory was proposed to describe the distribution of local Mode II fracture energy along the fracture path. The rear boundary effect region length was determined as 40.088&#xa0;mm. The true Mode II fracture energies of MPC with four mix proportions were calculated to be 5.813kN/m, 5.172kN/m, 4.015kN/m, and 3.393kN/m, respectively. A novel prediction model for true Mode II fracture energy was introduced, using compressive strength as the independent variable to facilitate the estimation of true Mode II fracture energy in practical engineering applications.</p>

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True mode II fracture energy prediction model of magnesium phosphate cement considering size effect

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • Jing Li,
  • Shaozhi Song,
  • Kaicheng Zeng,
  • Cong Li,
  • Mingyang Gong,
  • Chudong Pan,
  • Junping Zhang,
  • Liwen Zhang

摘要

This study investigates the Mode II fracture behavior of magnesium phosphate cement (MPC), a critical factor for the strength of assembled structure joint nodes using MPC as a sleeve grout material. An optimized Mode II fracture test was developed to minimize the influence of Mode I fracture components, resulting in a fracture pattern predominantly governed by Mode II (with fracture angles less than 23°). The average Mode II fracture energies of MPC with four mix proportions were determined as 4.047kN/m, 3.630kN/m, 2.982kN/m, and 2.115kN/m, respectively. Additionally, the average Mode II fracture energies for MPC with initial crack height ratios of 0.2, 0.3, 0.4, and 0.5 were measured at 4.411kN/m, 4.047kN/m, 3.924kN/m, and 3.478kN/m, respectively. These results demonstrate that the Mode II fracture energy of MPC is positively correlated with its compressive strength and is significantly influenced by the initial crack height ratio. Building on these findings, a bi-linear distribution model based on boundary effect theory was proposed to describe the distribution of local Mode II fracture energy along the fracture path. The rear boundary effect region length was determined as 40.088 mm. The true Mode II fracture energies of MPC with four mix proportions were calculated to be 5.813kN/m, 5.172kN/m, 4.015kN/m, and 3.393kN/m, respectively. A novel prediction model for true Mode II fracture energy was introduced, using compressive strength as the independent variable to facilitate the estimation of true Mode II fracture energy in practical engineering applications.