Aero-Structural Analysis of a Wind Turbine Blade Lay-Up as a Preliminary Design Alternative
Abstract
1. Introduction
2. Materials and Methods
2.1. Aerodynamic CFD Simulations
2.1.1. Computational Domain
2.1.2. Mesh Independence Study
2.1.3. CFD Solver Configuration
2.1.4. Post-Proccesing
2.2. Structural FEA Simulation
2.2.1. Mesh Generation
2.2.2. Composite Materials Modeling
- Aerodynamic shells: These structural elements are intended to resist torsional and shear forces while preserving the aerodynamic shape of the blade [20]. They are typically manufactured using a triaxial glass fiber-reinforced epoxy matrix composite with fiber orientations of −45°, 0°, and 45 °. In the present research, a five-layer configuration with variable lengths was adopted based on recommendations reported by Medrano (2022) [6].
- Spar caps: Typically manufactured from unidirectional fibers, spar caps are designed to withstand flapwise and edgewise bending loads induced by aerodynamic forces and weight [20]. The width of the spar caps was defined using the ratio c/co = 0.75–0.90 [24], assuming a maximum blade chord of 0.72 m. Therefore, the absolute width was estimated to be approximately 0.1 m. The structural composition of this element incorporated unidirectional layers of glass and carbon fiber-reinforced epoxy matrix composites. On the other hand, the thickness was selected as t/c = 1.5% based on relationships reported by Medrano (2022) [6].
- Shear web: The shear web constitutes the primary structural element of the blade and provides shear stress resistance due to fiberglass reinforcements [6]. The shear web length was defined as a function of the ratio l/lo =0.05–0.95. The structural configuration incorporated bidirectional glass fibers oriented at ±45° and embedded in an epoxy matrix. The thickness of the SANFoam core was set to be 1% of the maximum chord length [5].
2.2.3. Boundary Conditions
2.2.4. Fluid–Structure Interaction
3. Results and Discussion
3.1. Aerodynamic Analysis
3.2. Stress, Deformation, and Failure Criteria Analysis
4. Conclusions
- For rated conditions, the theoretical power output was 6591 W. While the power increases in both extreme load cases, results were excluded from the power factor estimation, as they represent critical conditions outside the turbine operating range.
- Regarding the CFD analysis, the adoption of poly-hexcore mesh topology combined with a moving reference frame formulation yielded substantial reductions in computational cost and time. For the finite element analysis, the ability to assess failure criteria for each layer facilitated a comprehensive layer-by-layer evaluation of the composite material response and the total lay-up configuration.
- Using blade tip deformation as the performance metric, configuration DP-15 exhibited the most favorable weight-to-performance ratio, with a total mass of 58.62 kg and maximum deformations ranging from 0.498 m to 0.656 m across all load cases and operational scenarios.
- For the first load case (rated conditions), a global inverse reserve (IRF) of 0.66 was estimated. Maximum values for individual layers reached 0.26 in the first triaxial glass fiber/epoxy layer oriented at 0° and 0.36 in the unidirectional glass fiber/epoxy layer incorporated in the sandwich structure. These results indicate that the proposed reinforcement satisfies the load requirements and provides a suitable basis for blade manufacturing and subsequent experimental validation through structural testing.
- For the second load case, the global IRF of 1.63 indicates structural failure in certain layers, particularly in the carbon fiber layers of the spar caps at the mid-span area (IRF = 0.8) and the shear web core (IRF = 0.82).
- For the third load case, critical IRF values approaching 2.0 were observed in both the shear web core and the bidirectional reinforcements, indicating that the structural integrity is compromised under these specific conditions.
- The main effects analysis for the first load case indicated that the number of triaxial weave layers implemented in the aerodynamic shells was the most relevant variable. Hence, using a single layer is enough to reduce deformation and weight. For load cases 2 and 3, the main effects were observed in the reinforcements at the mid-span spar caps, where four material layers were employed, thus producing the most significant effect.
- The initial lay-up configuration established through the FSI-CFD-FEM analysis scheme exhibits a 33.29% weight reduction compared to the configuration reported by Medrano (2022) [6]. Therefore, the proposed method represents a viable alternative for preliminary design and structural evaluation of blades, offering multi-parametric results, qualitative visualizations, and quantitative comparisons that exceed the capabilities of conventional approaches.
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| FSI | Fluid–Structure Interaction |
| CFD | Computational Fluid Dynamics |
| FEA | Finite Element Analysis |
| BEMT | Blade Element Momentum Theory |
Appendix A
Appendix A.1
| Scenario A | Scenario B | |||
|---|---|---|---|---|
| Design Point | Total Deformation (m) | Equivalent Stress (Pa) | Total Deformation | Equivalent Stress (Pa) |
| DP-1 | 0.188 | 35.48 × 106 | 0.156 | 26.80 × 106 |
| DP-2 | 0.178 | 34.78 × 106 | 0.151 | 26.97 × 106 |
| DP-3 | 0.177 | 31.29 × 106 | 0.150 | 24.34 × 106 |
| DP-4 | 0.187 | 31.95 × 106 | 0.155 | 24.77 × 106 |
| DP-5 | 0.176 | 33.12 × 106 | 0.149 | 25.73 × 106 |
| DP-6 | 0.186 | 34.56 × 106 | 0.154 | 26.00 × 106 |
| DP-7 | 0.176 | 29.21 × 106 | 0.149 | 24.34 × 106 |
| DP-8 | 0.186 | 30.65 × 106 | 0.153 | 24.78 × 106 |
| DP-9 | 0.166 | 36.37 × 106 | 0.139 | 27.86 × 106 |
| DP-10 | 0.177 | 36.99 × 106 | 0.145 | 27.86 × 106 |
| DP-11 | 0.166 | 32.70 × 106 | 0.138 | 25.04 × 106 |
| DP-12 | 0.177 | 33.27 × 106 | 0.144 | 24.74 × 106 |
| DP-13 | 0.164 | 34.66 × 106 | 0.137 | 26.61 × 106 |
| DP-14 | 0.175 | 36.03 × 106 | 0.143 | 26.84 × 106 |
| DP-15 | 0.164 | 30.56 × 106 | 0.137 | 23.49 × 106 |
| DP-16 | 0.175 | 31.94 × 106 | 0.143 | 23.88 × 106 |
Appendix A.2
| Scenario A | Scenario B | |||
|---|---|---|---|---|
| Design Point | Total Deformation (m) | Equivalent Stress (Pa) | Total Deformation | Equivalent Stress (Pa) |
| DP-1 | 0.592 | 91.41 × 106 | 0.559 | 82.62 × 106 |
| DP-2 | 0.586 | 95.78 × 106 | 0.559 | 87.97 × 106 |
| DP-3 | 0.582 | 85.64 × 106 | 0.555 | 78.60 × 106 |
| DP-4 | 0.587 | 82.18 × 106 | 0.555 | 74.23 × 106 |
| DP-5 | 0.581 | 91.31 × 106 | 0.554 | 83.93 × 106 |
| DP-6 | 0.587 | 89.46 × 106 | 0.555 | 80.90 × 106 |
| DP-7 | 0.577 | 79.94 × 106 | 0.550 | 73.44 × 106 |
| DP-8 | 0.583 | 78.78 × 106 | 0.551 | 71.21 × 106 |
| DP-9 | 0.534 | 97.43 × 106 | 0.507 | 88.92 × 106 |
| DP-10 | 0.545 | 92.94 × 106 | 0.513 | 83.51 × 106 |
| DP-11 | 0.530 | 87.10 × 106 | 0.503 | 79.45 × 106 |
| DP-12 | 0.541 | 83.55 × 106 | 0.509 | 75.02 × 106 |
| DP-13 | 0.529 | 92.94 × 106 | 0.502 | 84.89 × 106 |
| DP-14 | 0.540 | 91.02 × 106 | 0.508 | 81.83 × 106 |
| DP-15 | 0.524 | 81.38 × 106 | 0.498 | 74.30 × 106 |
| DP-16 | 0.536 | 80.16 × 106 | 0.504 | 72.04 × 106 |
Appendix A.3
| Scenario A | Scenario B | |||
|---|---|---|---|---|
| Design Point | Total Deformation (m) | Equivalent Stress (Pa) | Total Deformation | Equivalent Stress (Pa) |
| DP-1 | 0.739 | 108.39 × 106 | 0.707 | 99.60 × 106 |
| DP-2 | 0.735 | 114.25 × 106 | 0.708 | 106.44 × 106 |
| DP-3 | 0.729 | 102.09 × 106 | 0.702 | 95.05 × 106 |
| DP-4 | 0.733 | 97.38 × 106 | 0.701 | 89.43 × 106 |
| DP-5 | 0.729 | 108.90 × 106 | 0.702 | 101.52 × 106 |
| DP-6 | 0.733 | 106.07 × 106 | 0.701 | 97.51 × 106 |
| DP-7 | 0.723 | 95.27 × 106 | 0.696 | 88.77 × 106 |
| DP-8 | 0.728 | 93.33 × 106 | 0.696 | 85.77 × 106 |
| DP-9 | 0.668 | 115.91 × 106 | 0.641 | 107.41 × 106 |
| DP-10 | 0.680 | 109.93 × 106 | 0.648 | 100.50 × 106 |
| DP-11 | 0.663 | 103.56 × 106 | 0.636 | 95.91 × 106 |
| DP-12 | 0.675 | 98.76 × 106 | 0.642 | 90.24 × 106 |
| DP-13 | 0.662 | 110.56 × 106 | 0.635 | 102.51 × 106 |
| DP-14 | 0.674 | 107.65 × 106 | 0.642 | 98.46 × 106 |
| DP-15 | 0.656 | 96.73 × 106 | 0.629 | 89.93 × 106 |
| DP-16 | 0.669 | 94.74 × 106 | 0.637 | 86.62 × 106 |
Appendix B
Appendix B.1
| Failure Criteria | Nomenclature |
|---|---|
| Tsai-Wu | tw |
| Puck | Pf (Fiber failure) pmA (matrix tension failure) pmB (matrix compression failure) pmC (matrix shear failure) pd (delamination) |
| Sandwich Failure Core | cf (core failure) |
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| Parameter | Value |
|---|---|
| Blade length | 6 m |
| Root diameter | 0.3 m |
| Number of blades | 3 |
| Design speed | 10.5 m/s |
| Angle of attack | 8° |
| Tip speed ratio | 5.93 |
| Parameter | Dimension |
|---|---|
| R1 | 3.75 L (22.5 m) |
| R2 | 1.88 L (11.25 m) |
| L1 | 3 L (18 m) |
| L2 | 6 L (36 m) |
| L3 | 1.5 L (9 m) |
| Parameter | Dimension |
|---|---|
| Density | 1.18 kg/m3 |
| Dynamic viscosity | 1.84 × 10−5 kg/ms |
| Kinematic viscosity | 1.56 × 10−5 m2/s |
| Reynolds number | Re = (ρUL/μ) = 2.02 × 105 |
| Turbulent Regime | |
| Dimensionless number y+ | y+ = Uτy/v = 0.1775 mm |
| Parameter | Mesh A | Mesh B | Mesh C | Mesh D | Mesh E | Mesh F | Mesh G |
|---|---|---|---|---|---|---|---|
| Minimum sizing curvature | 5 | 3.5 | 2.5 | 2 | 1.5 | 1 | 1 |
| Element size (surface) | 15 | 15 | 10 | 10 | 8 | 8 | 5 |
| Body of influence sizing | 350 | 350 | 350 | 350 | 350 | 350 | 350 |
| Average orthogonal quality | 0.85 | 0.87 | 0.86 | 0.86 | 0.87 | 0.88 | 0.90 |
| Elements count | 1,025,479 | 1,502,772 | 1,941,626 | 2,349,082 | 2,945,483 | 3,732,414 | 5,014,599 |
| Torque (Nm) | 165.44 | 170.27 | 207.80 | 204.83 | 209.85 | 209.91 | 211.42 |
| Drag coefficient | 0.625 | 0.620 | 0.698 | 0.691 | 0.702 | 0.701 | 0.702 |
| Lift coefficient | 2.51 | 2.36 | 2.51 | 2.48 | 2.49 | 2.49 | 2.49 |
| Case | Operating Conditions | Load |
|---|---|---|
| 1 | v = 10.5 m/s, 100 rpm | NLC (Normal load case) |
| 2 | v = 21 m/s. 100 rpm | ELC (Extreme load case) with rpm control |
| 3 | v = 21 m/s. 120 rpm | ELC (Extreme load case) without rpm control |
| Zone | Boundary Condition |
|---|---|
| Inlet/Inlet top | Velocity inlet V = 10.5 m/s * Turbulence intensity = 5% * Turbulent viscosity ratio = 10 |
| Outlet | Pressure outlet * Manometric pressure = 0 Pa |
| Periodic boundaries Wall blade | Periodicity to 120° Non-slip wall Stationary wall |
| Parameter | Value |
|---|---|
| Area | 2.12 m2 |
| Density | 1.18 kg/m3 |
| Characteristic length | 0.3 m |
| Velocity | 10.5 m/s |
| Viscosity | 1.84 × 10−5 kg/ms |
| Reference zone | Fluid domain |
| Parameter | Definition |
|---|---|
| Simulation state | Steady |
| Solver | Pressure-based |
| Velocity formulation | Absolute |
| Turbulence model | k − ω (SST) |
| Solution method | Coupled |
| Spatial discretization | Second order |
| Initialization | Standard from inlet |
| Number of iterations | 2000 |
| Element Size (mm) | Curvature Size Minimum (mm) | Minimum Element Quality | Average Element Quality | Maximum Element Quality | Number of Elements |
|---|---|---|---|---|---|
| 10 | 0.1 | 0.096 | 0.837 | 1 | 134,980 |
| Material Type | Property | Glass Fiber/Epoxy | Carbon Fiber/Epoxy |
|---|---|---|---|
| Orthotropic | Density (kg/m3) | 2000 | 1540 |
| Young’s Modulus x direction (Pa) | 4.5 × 1010 | 2.09 × 1011 | |
| Young’s Modulus y direction (Pa) | 1 × 1010 | 9.45 × 109 | |
| Young’s Modulus z direction (Pa) | 1 × 1010 | 9.45 × 109 | |
| Poisson’s Ratio XY | 0.3 | 0.27 | |
| Poisson’s Ratio YZ | 0.4 | 0.4 | |
| Poisson’s Ratio XZ | 0.3 | 0.27 | |
| Shear Modulus XY (Pa) | 5 × 109 | 5.5 × 109 | |
| Shear Modulus YZ (Pa) | 3.84 × 109 | 3.9 × 109 | |
| Shear Modulus XZ (Pa) | 5 × 109 | 5.5 × 109 | |
| Material Type | Property | SANFoam | Gelcoat |
| isotropic | Density (kg/m3) | 81 | 1230 |
| Young’s Modulus (Pa) | 6 × 107 | 3.44 × 109 | |
| Poisson Ratio | 0.3 | 0.3 | |
| Shear Modulus (Pa) | 2.3 × 107 | 1.32 × 109 | |
| Bulk Modulus (Pa) | 5 × 107 | 2.86 × 109 |
| Composite Material | Structural Element | Fiber Direction | Length (l/lo) | Thickness by Layer |
|---|---|---|---|---|
| Triaxial glass fiber/epoxy | Aerodynamic shells | (−45°/0°/+45°) | −5 layers (l/lo = 37%, 45%, 52.5%, 100%) | 0.72 mm |
| Triaxial glass fiber/epoxy | Root | (−45°/0°/+45°) | −l/lo = 0–5% | 0.72 mm |
| BD glass fiber/epoxy | Shear web | (−45°/+45°) | Shear web length | 0.65 mm |
| UD glass fiber/epoxy | Spar caps Aerodynamic shells | (0°) | Width = 0.75–0.95 c/co Length (l/lo = 0.95) | t/c = 1.5% 0.75 by layer |
| UD carbon fiber/epoxy | Spar caps | (0°) | Width = 0.75–0.95 c/co Length (l/lo = 0.95) | t/c = 1.5% 0.75 by layer |
| Gelcoat | Aerodynamic shells | (0°) | l/lo = 100% | 0.1 |
| SANFoam core | Shear web Aerodynamic shells | (0°) | l/lo = 90% | 1% c 0–15% c 50–85%c |
| Composite Material | Weight (kg) |
|---|---|
| Triaxial glass/epoxy | 43.92 |
| Bidirectional glass/epoxy | 2.65 |
| Unidirectional glass/epoxy | 10.24 |
| Unidirectional carbon/epoxy | 3.29 |
| SANFoam Core | 1.19 |
| Gelcoat | 0.6 |
| Total weight | 61.91 |
| Load Case | CD | Drag (N) | CL | Lift (N) | Torque (Nm) | Power (W) | Pressure Coefficient |
|---|---|---|---|---|---|---|---|
| 1 | 0.70 | 96.86 | 2.49 | 343.88 | 209.85 | 2197.10 | 1.60 |
| 2 | 0.69 | 384.02 | 2.70 | 1489.33 | 808.22 | 8462.02 | 0.97 |
| 3 | 0.80 | 439.68 | 3.12 | 1721.50 | 1015.98 | 10,637.35 | 1.20 |
| Design Point | Triaxial GF/Epoxy | UD GF and CF/Epoxy (Root) | UD GF and CF/Epoxy (Mid-Span) | BD GF/Epoxy (Shear Web) | Weight (kg) |
|---|---|---|---|---|---|
| Number of Layers | |||||
| DP-1 | 2 | 4 | 3 | 4 | 61.91 |
| DP-2 | 1 | 4 | 3 | 4 | 55.28 |
| DP-3 | 1 | 4 | 3 | 5 | 55.94 |
| DP-4 | 2 | 4 | 3 | 5 | 62.57 |
| DP-5 | 1 | 6 | 3 | 4 | 55.73 |
| DP-6 | 2 | 6 | 3 | 4 | 62.37 |
| DP-7 | 1 | 6 | 3 | 5 | 56.40 |
| DP-8 | 2 | 6 | 3 | 5 | 63.03 |
| DP-9 | 1 | 4 | 4 | 4 | 57.50 |
| DP-10 | 2 | 4 | 4 | 4 | 64.13 |
| DP-11 | 1 | 4 | 4 | 5 | 58.16 |
| DP-12 | 2 | 4 | 4 | 5 | 64.80 |
| DP-13 | 1 | 6 | 4 | 4 | 57.95 |
| DP-14 | 2 | 6 | 4 | 4 | 64.59 |
| DP-15 | 1 | 6 | 4 | 5 | 58.62 |
| DP-16 | 2 | 6 | 4 | 5 | 65.25 |
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Alcantara-Rojas, E.; López-Rebollar, B.M.; Félix-Félix, J.R.; Mohedano-Castillo, M.F.; Ortiz, C.R.F.; Cano-Perea, G. Aero-Structural Analysis of a Wind Turbine Blade Lay-Up as a Preliminary Design Alternative. Appl. Mech. 2026, 7, 24. https://doi.org/10.3390/applmech7010024
Alcantara-Rojas E, López-Rebollar BM, Félix-Félix JR, Mohedano-Castillo MF, Ortiz CRF, Cano-Perea G. Aero-Structural Analysis of a Wind Turbine Blade Lay-Up as a Preliminary Design Alternative. Applied Mechanics. 2026; 7(1):24. https://doi.org/10.3390/applmech7010024
Chicago/Turabian StyleAlcantara-Rojas, Eduardo, Boris Miguel López-Rebollar, Jesús Ramiro Félix-Félix, Martha Fernanda Mohedano-Castillo, Carlos Roberto Fonseca Ortiz, and Gerardo Cano-Perea. 2026. "Aero-Structural Analysis of a Wind Turbine Blade Lay-Up as a Preliminary Design Alternative" Applied Mechanics 7, no. 1: 24. https://doi.org/10.3390/applmech7010024
APA StyleAlcantara-Rojas, E., López-Rebollar, B. M., Félix-Félix, J. R., Mohedano-Castillo, M. F., Ortiz, C. R. F., & Cano-Perea, G. (2026). Aero-Structural Analysis of a Wind Turbine Blade Lay-Up as a Preliminary Design Alternative. Applied Mechanics, 7(1), 24. https://doi.org/10.3390/applmech7010024

