Analysis and Comparison of Three Bending Tests on Phosphogypsum-Based Material According to Peridynamic Theory

Haoyu Ma, Kai Zhang, Sheng Liang, Jiatian Dong, Xiangyang Fan, Xuemei Zhang
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Abstract

Phosphogypsum-based materials have gained much attention in the field of road infrastructure from the economic and sustainable perspectives. The Three-point bending test, the Four-point bending test and the Semi-circular bending test are three typical test methods applied for fracture energy measurement. However, the optimal test method for fracture energy evaluation has not been determined for phosphogypsum-based materials. To contribute to the gap, this study aims to analyze and compare the three test methods for fracture energy evaluation of phosphogypsum materials based on the peridynamic theory. For this purpose, the load–displacement, vertical displacement–Crack Mouth Opening Displacement (CMOD) and fracture energy of the phosphogypsum-based materials were measured and calculated from the three test methods. The simulated load–displacement and vertical displacement–CMOD by PD numerical models, with different fracture energy as inputs, were compared to the corresponding tested values according to simulation error results. The results showed that the Four-point bending test led to minimized errors lower than 0.189 and indicators lower than 0.124, demonstrating the most optimal test method for the fracture energy measurement of phosphogypsum-based material. The results of this study can provide new methodological references for the selection of material fracture energy measurement tests.
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根据周动力理论分析和比较磷石膏基材料的三次弯曲试验
从经济和可持续发展的角度来看,磷石膏基材料在道路基础设施领域备受关注。三点弯曲试验、四点弯曲试验和半圆弯曲试验是测量断裂能的三种典型试验方法。然而,对于磷石膏基材料,尚未确定最佳的断裂能评估测试方法。为了填补这一空白,本研究旨在基于周动力理论,分析和比较用于磷石膏材料断裂能评估的三种测试方法。为此,通过三种测试方法测量和计算了磷石膏基材料的荷载位移、垂直位移-裂缝张口位移(CMOD)和断裂能。根据模拟误差结果,将以不同断裂能为输入的 PD 数值模型模拟的荷载-位移和垂直位移-CMOD 与相应的测试值进行比较。结果表明,四点弯曲试验的误差小于 0.189,指标小于 0.124,是磷石膏基材料断裂能测量的最佳试验方法。该研究结果可为材料断裂能测量试验的选择提供新的方法参考。
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