Compression failure life prediction and verification of polymethacrylimide foam
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摘要: 聚甲基丙烯酸酰亚胺(PMI)泡沫因其性能优越，在航空航天领域广泛应用。本文主要针队PMI泡沫在弹筒适配器领域的功能特性开展研究，主要研究了其在常温条件下的压缩蠕变特性。依据使用工况及高分子材料的蠕变特性，采用“时间强化”模型设计实验，分别对密度为0.075 g/cm3和0.110 g/cm3的PMI泡沫进行了为期180天的常温压缩蠕变实验。通过对实验数据分析、拟合，预测了两种不同密度的PMI泡沫常温、1250 N条件下的压缩蠕变寿命，密度0.075 g/cm3 PMI泡沫压缩蠕变失效寿命约为11年；而密度0.110 g/cm3 PMI泡沫约为53年，同时对模型的可靠性进行了验证分析。Abstract: Polymethacrylate imide (PMI) foam is widely used in aerospace field because of its superior performance. This paper mainly studies the functional characteristics of PMI foam in the field of cartridge adapter, and mainly studies its compression creep characteristics at room temperature. According to the working conditions and creep characteristics of polymer materials, the "time strengthening" model was adopted to design experiments, and the PMI foam with densities of 0.075 g/cm3 and 0.110 g/cm3 were respectively tested for 180 days under normal temperature compression creep. By analyzing and fitting the experimental data, the compression creep life of two PMI foam with different densities at room temperature and 1250 N was predicted. The compression creep failure life of PMI foam with density of 0.075 g/cm3 is about 11 years. The density of 0.110 g/cm3 PMI foam is about 53 years, and the reliability of the model is verified and analyzed.
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Keywords:
- PMI foam /
- compression creep /
- creep model /
- constant load /
- life
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图 1 加载工装示意图
Figure 1. Schematic diagram of loading tooling
1—Bolt; 2—Side panel; 3—Lower platen; 4—Bottom plate; 5—On board; 6—Upper platen; 7—Custom spring; 8—Foam sample; 9—Measuring hole
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图 2 0.075 g/cm3 PMI泡沫在不同载荷下的蠕变曲线
Figure 2. Creep curves of 0.075 g/cm3 PMI foams under different loads
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图 3 0.110 g/cm3 PMI泡沫在不同载荷下的蠕变曲线
Figure 3. Creep curves of 0.110 g/cm3 PMI foams under different loads
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图 4 0.075 g/cm3 PMI泡沫在不同时间及载荷下的拟合曲线
R2—Fitting coefficient; a—Multiple; b—Index
Figure 4. Fitting curves of 0.075 g/cm3 PMI foams at different time and loads
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图 5 0.110 g/cm3 PMI泡沫在不同时间及载荷下的拟合曲线
Figure 5. Fitting curves of 0.110 g/cm3 PMI foams at different time and loads
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图 6 两种密度PMI泡沫在不同载荷下所对应的lgA-lgσ线性拟合曲线
A—Creep parameter; σ—Stress
Figure 6. lgA-lgσ linear fitting curves of two densities of PMI foams under different loads
表 1 聚甲基丙烯酰亚胺(PMI)泡沫编号
Table 1 Number of polymethacrylimide (PMI) foams
Specimen number Density/(g·cm−3) Load/N A-1 0.075 937.5 A-2 0.075 1250.0 A-3 0.075 1562.5 A-4 0.075 1875.0 B-1 0.110 937.5 B-2 0.110 1250.0 B-3 0.110 1562.5 B-4 0.110 1875.0 
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表 2 不同载荷及时间下0.075 g/cm3 PMI泡沫蠕变应变
Table 2 Creep strain of 0.075 g/cm3 PMI foams under different loads and time
Time/h A-1 A-2 A-3 A-4 0 0 0 0 0 168 0.000450 0.000630 0.000985 0.001260 336 0.000845 0.001160 0.001770 0.002330 720 0.001170 0.001580 0.002470 0.002900 1440 0.001480 0.002040 0.003060 0.003670 2160 0.001690 0.002310 0.003460 0.004170 2880 0.001840 0.002510 0.003860 0.004670 3600 0.001980 0.002650 0.004240 0.005060 4320 0.002120 0.002800 0.004450 0.005480
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表 3 不同载荷及时间下0.110 g/cm3 PMI泡沫蠕变应变
Table 3 Creep strain of 0.110 g/cm3 PMI foams under different loads and time
Time/h B-1 B-2 B-3 B-4 0 0 0 0 0 168 0.000310 0.000462 0.000602 0.000833 336 0.000523 0.000710 0.000919 0.001273 720 0.000751 0.000908 0.001393 0.001747 1440 0.001046 0.001191 0.001586 0.002079 2160 0.001118 0.001302 0.001747 0.002357 2880 0.001282 0.001402 0.001989 0.002669 3600 0.001420 0.001518 0.002190 0.002893 4320 0.001565 0.001616 0.002290 0.003094
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表 4 0.075 g/cm3 PMI泡沫不同载荷下拟合模型参数
Table 4 Fitting model parameters of 0.075 g/cm3 PMI foams under different loads
Sample Model parameters A A3 R2 A-1 8.74×10−5 0.38308 0.97667 A-2 1.32×10−4 0.36915 0.98022 A-3 1.82×10−4 0.38437 0.99314 A-4 2.36×10−4 0.37541 0.98273
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表 5 0.110 g/cm3 PMI泡沫不同载荷下拟合模型参数
Table 5 Fitting model parameters of 0.110 g/cm3 PMI foams under different loads
Sample Model parameters A A3 R2 B-1 4.20×10−5 0.43127 0.98916 B-2 9.61×10−5 0.33823 0.98860 B-3 1.18×10−4 0.35561 0.97981 B-4 1.52×10−4 0.36000 0.99185
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表 6 0.075 g/cm3 PMI泡沫在不同载荷下的剩余载荷
Table 6 Residual load of 0.075 g/cm3 PMI foams under different loads
Sample Initial load/N Average creep/mm Residual load/N Residual stress/MPa A-1 937.5 0.002120 936.864 0.374746 A-2 1250.0 0.002800 1249.160 0.499664 A-3 1562.5 0.004450 1561.165 0.624466 A-4 1875.0 0.005480 1873.356 0.749342
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表 7 0.110 g/cm3 PMI泡沫在不同载荷下的剩余载荷
Table 7 Residual load of 0.110 g/cm3 PMI foams under different loads
Sample Initial load/N Average creep/mm Residual load/N Residual stress/MPa B-1 937.5 0.062608 936.952 0.374781 B-2 1250.0 0.064634 1249.434 0.499774 B-3 1562.5 0.091596 1561.699 0.624680 B-4 1875.0 0.123757 1873.917 0.749567
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