基于内聚力模型的有机玻璃半椭圆表面裂纹扩展研究

doi:10.3901/JME.2025.24.158

摘要/Abstract

摘要： 有机玻璃的裂纹起裂及扩展研究对其工程构件的结构完整性分析及寿命预测具有重要意义。利用内聚力模型对有机玻璃中常见的半椭圆表面裂纹扩展进行分析。首先通过标准断裂韧性试验和有限元反演法确定有机玻璃的内聚力模型参数；然后进行半椭圆表面裂纹宽板拉伸试验和有限元仿真，对比二者结果；最后利用内聚力模型研究不同形状的半椭圆表面裂纹扩展行为。结果表明，仿真和试验的峰值载荷及准静态条件下的裂纹扩展形貌均具有良好的一致性，证明了内聚力模型及参数的有效性；当初始裂纹深度不变时，峰值载荷随着初始裂纹长度的增大而减小；在裂纹扩展的初始阶段，长裂纹在深度方向扩展更多而在长度方向扩展较少，短裂纹则相反，但随着裂纹扩展，其深度和长度的形状比都趋于同一数值。

关键词: 有机玻璃, 内聚力模型, 半椭圆表面裂纹, 裂纹扩展

Abstract: The study of crack initiation and propagation in polymethyl methacrylate (PMMA) is of great significance to the structural integrity analysis and life prediction of its engineering components. The semi-elliptical surface crack propagation of PMMA is investigated by using the cohesive zone model. Firstly, the cohesive zone model parameters of PMMA are determined by using the standard fracture toughness test and the finite element inversion method. Then the tensile test and finite element simulation of wide plate with a semi-elliptical surface crack are carried out, and the experimental and simulated results are compared. Finally, the crack propagation behavior of the semi-elliptical surface crack with various shapes is studied by using the cohesive zone model. The results show that the peak load and quasi-static crack growth morphology of the simulation and experiment are in good agreement, which proves the validity of the cohesive zone model and parameters. When the initial crack depth is the same, the peak load decreases with the increase of the initial crack length. At the initial stage of crack propagation, long cracks expand more in the depth direction and less in the length direction, while short cracks are the opposite. However, their shape ratios in the depth and length direction tend to a constant with the crack propagation.

Key words: PMMA, cohesive zone model, semi-elliptical surface crack, crack propagation

中图分类号:

O346

张顺, 薛河, 张嘉庆, 武军. 基于内聚力模型的有机玻璃半椭圆表面裂纹扩展研究[J]. 机械工程学报, 2025, 61(24): 158-167.

ZHANG Shun, XUE He, ZHANG Jiaqing, WU Jun. Semi-elliptical Surface Crack Propagation of PMMA Based on Cohesive Zone Model[J]. Journal of Mechanical Engineering, 2025, 61(24): 158-167.

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