Investigation of the Constitutive Model of W/PMMA Composite Microcellular Foams
Abstract
:1. Introduction
2. Materials and Methods
2.1. Preparation of W/PMMA Composite Microcellular Foams
2.2. Compressive Tests of W/PMMA Composite Microcellular Foams
2.3. Constitutive Models of Foam Material
3. Results
3.1. Characterization of W/PMMA Composite Microcellular Foams
3.2. Mechanical Properties of W/PMMA Composite Microcellular Foams
3.3. Constitutive Model of W/PMMA Composite Microcellular Foams
4. Discussion
4.1. Parameter Identification of W/PMMA Composite Microcellular Foams
4.2. Application and Verification of the Constitutive Model
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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W Content in the Microcellular Foams | Relative Density (ρr) | k (MPa) | c (MPa) | kp (MPa) | n | γ (MPa) |
---|---|---|---|---|---|---|
0 wt % | 0.134 | 39.6 | 2.15 | 5.5 | 4 | 5.84 |
0.290 | 114.3 | 7.77 | 17.4 | 4 | 10.9 | |
0.463 | 152.8 | 11.87 | 39.2 | 4 | 12.8 | |
0.541 | 180.5 | 23.68 | 49.4 | 2 | 43.4 | |
10 wt % | 0.196 | 78.4 | 5.14 | 0.7 | 4 | 10.8 |
0.287 | 142.0 | 11.14 | 13.7 | 4 | 24.1 | |
0.381 | 211.4 | 11.68 | 31.5 | 4 | 28.9 | |
0.513 | 265.9 | 19.23 | 41.7 | 2 | 59.2 | |
20 wt % | 0.200 | 105.4 | 6.45 | 13.2 | 4 | 14.2 |
0.242 | 144.2 | 9.88 | 16.9 | 4 | 18.2 | |
0.320 | 201.7 | 11.47 | 34.6 | 4 | 24.1 | |
0.522 | 306.3 | 18.66 | 44.8 | 2 | 62.0 | |
40 wt % | 0.194 | 103.6 | 6.96 | 3.7 | 4 | 14.0 |
0.310 | 168.3 | 9.93 | 16.1 | 4 | 21.4 | |
0.347 | 191.9 | 10.02 | 42.7 | 4 | 24.6 | |
0.512 | 259.6 | 16.74 | 52.8 | 2 | 52.5 | |
60 wt % | 0.180 | 95.3 | 4.10 | 6.9 | 4 | 11.2 |
0.314 | 148.4 | 8.40 | 21.8 | 4 | 20.1 | |
0.344 | 192.2 | 9.64 | 43.1 | 4 | 34.3 | |
0.526 | 260.0 | 17.92 | 53.3 | 2 | 67.0 |
W Content in the W/PMMA Microcellular Foams | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
A | B | D | E | F | M | N | O | P | Q | R | |
0 wt % | 450 | −189 | 116 | −31.8 | 5.03 | 423 | −416 | 107 | 871 | −154 | 11.5 |
10 wt % | 871 | −428 | 9.48 | 34.5 | −1.35 | −95.2 | 325 | −157 | 243 | 131 | 7.40 |
20 wt % | 905 | −421 | −25.8 | 54.5 | −2.83 | −490 | 834 | −309 | 278 | 116 | 9.64 |
40 wt % | 707 | −307 | 47.8 | −3.43 | 5.91 | −85.5 | 351 | −172 | 298 | 81.4 | 10.6 |
60 wt % | 687 | −299 | 35.4 | 14.9 | 0.260 | −95.8 | 328 | −149 | 37.2 | 222 | 3.09 |
Relative Density (ρr) | k (MPa) | c (MPa) | kp (MPa) | n | γ (MPa) |
---|---|---|---|---|---|
0.184 | 100.5 | 4.94 | 2.0 | 4 | 13.3 |
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Zhu, Y.; Luo, G.; Zhang, R.; Liu, Q.; Sun, Y.; Zhang, J.; Shen, Q.; Zhang, L. Investigation of the Constitutive Model of W/PMMA Composite Microcellular Foams. Polymers 2019, 11, 1136. https://doi.org/10.3390/polym11071136
Zhu Y, Luo G, Zhang R, Liu Q, Sun Y, Zhang J, Shen Q, Zhang L. Investigation of the Constitutive Model of W/PMMA Composite Microcellular Foams. Polymers. 2019; 11(7):1136. https://doi.org/10.3390/polym11071136
Chicago/Turabian StyleZhu, Yuxuan, Guoqiang Luo, Ruizhi Zhang, Qiwen Liu, Yi Sun, Jian Zhang, Qiang Shen, and Lianmeng Zhang. 2019. "Investigation of the Constitutive Model of W/PMMA Composite Microcellular Foams" Polymers 11, no. 7: 1136. https://doi.org/10.3390/polym11071136