| Literature DB >> 36014148 |
Raees Fida Swati1, Saad Riffat Qureshi1, Muhammad Umer Sohail1, Adnan Munir2, Omer Masood Qureshi3, Abid Ali Khan4.
Abstract
The interface debonding in carbon fiber-reinforced polymers is analyzed and evaluated using the extended finite element method (XFEM). In order to accurately evaluate the bonding properties between fibers and matrix, different tests were carried out, including the multiple tests for different orientations to study longitudinal, transversal, and shear properties of unidirectional carbon fiber-reinforced composites. Extensive experimentation has been performed in all the different groups and categories with different dimensions and parameters in order to ascertain the values of strength and the prediction of the damage to the structure. The experimental and numerical comparison provided significant trends and data to evaluate the mechanical properties of the interface. The values of stiffness and strength are compared and validated. Development of Representative Volume Element (RVE) for progressive damage model to these damage phenomena has already been performed as a feasibility study for the model, though it is not included in this particular paper. The results of this research for all the experimental and numerical sets can serve as reliable data in the microsimulation of devices and sensitive parameters that include carbon fiber-reinforced light metal matrix composites and makes a better investigative model that contributes to various conditions. It further offers an investigation of the microscopic deformation mechanisms in the composites.Entities:
Keywords: carbon fiber-reinforced composites; extended finite element method (XFEM); interfacial micro-debonding; micro-crack model
Year: 2022 PMID: 36014148 PMCID: PMC9413032 DOI: 10.3390/mi13081226
Source DB: PubMed Journal: Micromachines (Basel) ISSN: 2072-666X Impact factor: 3.523
Material properties and homogenized values.
| Linear |
|
| |
|---|---|---|---|
| Elasticity | 3.73 ± 0.30 | 0.38 ± 0.01 | 0.30 |
| Damage | |||
| Model | 61.6 ± 4.6 | 300 ± 30.6 | 334.1 ± 73 |
Material properties and homogenized values for the development of RVE.
| Material | Elastic Modulus (GPa) | Poisson’s Ratio | Density (kg/m3) |
|---|---|---|---|
|
| 231 | 0.2 | 1760 |
|
| 3.425 | 0.32 | 1250 |
Mechanical properties and parameters for the unidirectional set for the interfacial debonding model [17].
| E11 (MPa) | E22 (MPa) | G12 (MPa) | G23 (MPa) |
| XT (MPa) | XC (MPa) | S | |
|---|---|---|---|---|---|---|---|---|
| Carbon Fiber | 221 | 13.8 | 9 | 4.8 | 0.2 | 3528 | 2500 | - |
| Epoxy Resin | 3.5 | 3.5 | 1.296 | 1.296 | 0.35 | 112 | 241 | 89.6 |
Figure 1Tensile sample die.
Figure 2Tensile sample die.
Figure 3Samples.
Figure 4Tension specimen for experimentation (a) domain and (b) estimation for radii analysis. A half of FE mesh was used.
Mechanical properties of carbon fiber in analysis.
|
|
|
| ||
|---|---|---|---|---|
| 245 (GPa) | 19.8 (GPa) | 29.191 (GPa) | 5.922 (GPa) | 0.28 |
Figure 5Test results of the different specimen.
Figure 6Shear strength testing die for fiber arrangement.
Figure 7Grinding qualified resin matrix spline.
Different dimensions of RVE.
| Parameters | Symbol | Value | Units |
|---|---|---|---|
|
|
| 4.5 | µm |
|
|
| 14.5621 | µm |
|
|
| 0.1 | µm |
Figure 8Unidirectional CFRC lamina.
Shear dominated failure assessment.
| Shear Dominated Failure | NU-Daniel | Applied Criteria [ |
|---|---|---|
|
|
|
|
Comparison with criterion.
| Type | E22 | Relative Error % | YT (MPa) | Error % | YC(MPa) | Error % |
|---|---|---|---|---|---|---|
| Tsai Hill | 9.10 | 1.56% | 117.8 | 2.33% | 254 | 10.92% |
| Tsai Wu | 9.10 | 1.56% | 80.5 | 30.07% | 268 | 17.03% |
| Modified criteria | 9.10 | 1.56% | 87.5 | 23.99% | 189 | 17.47% |
0 deg specimen dimensions.
| Specimen A | Width (mm) | Thickness (mm) | Failure Load (kN) |
|---|---|---|---|
| 1 | 12.1 | 2.96 | 43.21 |
| 2 | 12.2 | 2.94 | 52.73 |
| 3 | 12.3 | 2.87 | 42.46 |
| 4 | 12.5 | 2.95 | 47.48 |
Figure 9Model geometry of tensile specimen: (a) category A, (b) category B, and (c) category C.
90 deg specimen dimensions.
| Specimen B | Width (mm) | Thickness (mm) | Failure Load (kN) |
|---|---|---|---|
| 1 | 24.99 | 2.76 | 0.872 |
| 2 | 25.21 | 2.64 | 0.974 |
| 3 | 25.38 | 2.59 | 0.914 |
| 4 | 25.14 | 2.53 | 0.987 |
0/90/0/90/0 specimen dimensions.
| Specimen C | Width (mm) | Thickness (mm) | Failure Load (kN) |
|---|---|---|---|
| 1 | 24.5 | 3.0 | 65.62 |
| 2 | 24.7 | 2.98 | 72.65 |
| 3 | 25.4 | 2.90 | 75.17 |
Figure 10XFEM damage comparison for 3P/0° specimen.
Figure 11Crack propagation in vertical direction.
Figure 12Modulus of elasticity of categories.
Comparison between predicted and theoretical values with reference to interface debonding.
| Parameter | Longitudinal Strength (MPa) | Predicted Values (MPa) | Error % |
|---|---|---|---|
| E₁₁ | 150.8 | 155.2 | 2.92% |
| XT | 2489 | 2419 | 2.81% |
| XC | 1769 | 1725 | 2.49% |
Comparison of theoretical and experimental strength.
| Types | Orientations | Theoretical Strength (MPa) | Experimental Strength (MPa) | %Diff. |
|---|---|---|---|---|
| A | Tensile 0° | 1074 | 893.7 | 16.78 |
| B | Tensile 0°, 90°, 0°, 90° | 642 | 593.6 | 7.50 |
| C | Tensile 90° | 454 | 534.3 | 17.62 |
Strength comparison.
| Group | Average Strength | Error % | % Variation |
|---|---|---|---|
|
| |||
| 0° 3P test | 1382.45 | -- | 13.79 |
| RVE | 2112.9 | 13.44 | 11.12 |
| 0° 3P simulation | 1829.3 | 8.7 1 | 3.2 |
|
| |||
| +45°, −45° test | 178.5 | -- | 12.40 |
| ABAQUS RVE | 208.33 | 8.6 | 4.5 |
| +45°, −45° 3P simulation | 191.6 | 11.22 | 4.9 |
|
| |||
| Laminate test (Experimental) | 647.1 | 11.33 | 4.55 |
| Laminate simulation | 571.8 | 15.77% | 2.45 |
Experimental results.
| Specimen | Failure Load | Failure Strength | Young’s Modulus E |
|---|---|---|---|
|
| |||
| 1 | 43.21 | 1326.8 | 108 |
| 2 | 52.73 | 1569.1 | |
| 3 | 42.46 | 1258.09 | |
| 4 | 47.48 | 1423.6 | |
|
| |||
| 1 | 0.872 | 13.70 | 6.44 |
| 2 | 0.974 | 15.25 | |
| 3 | 0.914 | 14.73 | |
| 4 | 0.987 | 15.39 | |
|
| |||
| 1 | 65.62 | 890.1 | 71.01 |
| 2 | 72.65 | 985.09 | |
| 3 | 75.17 | 1019.20 | |
Figure 13Matrix and fiber breaking.
Summarized results.
| Sample S/No. | Width/mm | Thickness/mm | Area/mm2 | Max Force (N) | Tensile Strength (MPa) | Modulus (GPa) |
|---|---|---|---|---|---|---|
| 1 | 4.94 | 3.72 | 18.38 | 294.5 | 16.03 | 3.920 |
| 2 | 5.50 | 3.20 | 17.60 | 235.5 | 13.38 | 4.043 |
| 3 | 4.98 | 2.28 | 11.35 | 134.5 | 11.85 | 3.498 |
| 4 | 5.09 | 2.93 | 14.91 | 190.0 | 12.74 | 3.916 |
| 5 | 5.09 | 4.21 | 21.43 | 246.5 | 11.50 | 5.106 |
| Average values | 13.09 | 4.096 | ||||
| Standard deviation | 1.795 | 0.601 | ||||
| Discrete Coefficient | 13.70 | 14.66 |