A Continuum Damage Model for Intralaminar Progressive Failure Analysis of CFRP Laminates Based on the Modified Puck’s Theory
Abstract
:1. Introduction
2. Continuum Damage Model of CFRP Laminates
2.1. Stress and Strain Analysis
2.2. Failure Criteria for Intralaminar Damage Initiation
2.2.1. Inter-Fiber Fracture Criteria
2.2.2. Fiber Fracture Criteria
2.3. Damage Evolution Law
2.3.1. Damage Variables
2.3.2. Equivalent Stress and Strain
2.3.3. Equivalent Strain in the Final Failure State
3. Theoretical and Experimental Verification
3.1. Ply Failure Analysis
3.2. Progressive Failure Analysis of CFRP Laminates
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
References
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YT/MPa | YC/MPa | SL/MPa | /MPa | /MPa | /MPa |
---|---|---|---|---|---|
62.3 | 199.8 | 92.3 | 160.2 | 281.8 1 | 130.2 |
Stacking Sequence | l (mm) | w (mm) | d (mm) |
---|---|---|---|
[90/0/±45]3s | 150 | 48 | 8 |
[±45]6s | 101.6 | 25.4 | 6.35 |
E1/GPa | E2/GPa | G12/GPa | υ12 | tp/mm |
171.42 | 9.08 | 5.29 | 0.32 | 0.131 |
XT/MPa | XC/MPa | YT/MPa | YC/MPa | SL/MPa |
2326.2 | 1200.1 | 62.3 | 199.8 | 92.3 |
GIc/kJm−2 | GIIc/kJm−2 | /kJm−2 | /kJm−2 | β/MPa−3 |
0.2774 | 0.7879 | 81.5 | 106.3 | 2.98 × 10−8 |
E1/GPa | E2/GPa | G12/GPa | υ12 | tp/mm |
156.5 | 12.9 | 6.96 | 0.23 | 0.143 |
XT/MPa | XC/MPa | YT/MPa | YC/MPa | SL/MPa |
1516.8 | 1592.7 | 44.54 | 253 | 106.8 |
GIc/kJm−2 | GIIc/kJm−2 | /kJm−2 | /kJm−2 | β/MPa−3 |
0.22 | 0.46 | 91.6 | 79.9 | 2.44 × 10−8 |
Type of Ply | |||
---|---|---|---|
Thin Embedded Ply | |||
Thin Outer Ply |
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Gu, J.; Li, K.; Su, L. A Continuum Damage Model for Intralaminar Progressive Failure Analysis of CFRP Laminates Based on the Modified Puck’s Theory. Materials 2019, 12, 3292. https://doi.org/10.3390/ma12203292
Gu J, Li K, Su L. A Continuum Damage Model for Intralaminar Progressive Failure Analysis of CFRP Laminates Based on the Modified Puck’s Theory. Materials. 2019; 12(20):3292. https://doi.org/10.3390/ma12203292
Chicago/Turabian StyleGu, Jiefei, Ke Li, and Lei Su. 2019. "A Continuum Damage Model for Intralaminar Progressive Failure Analysis of CFRP Laminates Based on the Modified Puck’s Theory" Materials 12, no. 20: 3292. https://doi.org/10.3390/ma12203292