Submitted:
14 January 2026
Posted:
15 January 2026
Read the latest preprint version here
Abstract

Keywords:
1. Introduction
- To develop a high-fidelity explicit FE model of a 600 mm semi-span composite UAV wing segment, including skin, ribs and spars, subjected to high-rate spherical impacts at different energy levels.
- To compare the impact response of the optimized E-glass wing and CFRP benchmark wings in terms of contact force, penetration, energy absorption and damage patterns.
2. Numerical Modelling and Impact Simulation Framework
2.1. Overall Modelling Approach


- composite skins (E-glass and carbon fiber),
- internal ribs and a main spar,
- balsa-wood core or stiffeners in selected regions,
- ENCASTE boundary conditions at the wing root and free tip.
2.2. Governing Equations and Time Integration
- M = global mass matrix
- C = damping matrix
- K = stiffness matrix
- u(t) = displacement vector
- F(t) = external force vector
- 0.5 kg at 5000 mm/s = 6.25 J
- 0.5 kg at 10000 mm/s = 25 J
- 1.0 kg at 20000 mm/s = 200 J
2.3. Orthotropic Material Laws and Failure Criteria
- E1, E2 = longitudinal and transverse Young’s moduli
- ν12, ν21 = Poisson’s ratios
- G12 = in-plane shear modulus
- Fiber tension:
- Fiber compression:
- Matrix tension:
- stress update in the material coordinate system,
- progressive reduction of components in the damaged modes,
- Element deletion in cases of severe through-thickness damage or complete penetration.
2.4. Material Configurations: Carbon Fiber and E-Glass
- Tensile and compressive strengths tuned to remain within published ranges,
- Density kept close to typical E-glass/epoxy values to maintain realistic specific properties.
2.5. Mesh, Contact and Boundary Conditions



| Scenario Type | Mass (kg) | Velocity (m/s) |
| Light tool drop | 0.5 | 5 |
| Moderate impact (bird or debris) | 0.5 | 10 |
| High impact (stress test) Destructive Test | 1.0 | 20 |
3. Results and Discussion
3.1. Impact Resistance Simulation Analysis and Results
| Category | Properties |
| Elastic Moduli | E1 (longitudinal), E2 (transverse), E3 (through-thickness) |
| Poisson’s Ratios | V12, V13, V23 (major); V21, V31, V32 (minor, derived) |
| Shear Moduli | G12, G13, G23 |
| Strengths | Xt, Xc (longitudinal); Yt, Yc (transverse); Zt, Zc (out-of-plane) |
| Shear Strengths | f12, f13, f23 |
| Fracture Energy | Gft (fiber tension), Gfc (fiber comp.), Gmt (matrix tension), Gmc (matrix comp.), Gdl (delamination) |
3.2. Material and Structural Overview
| Parameter | Value |
| Ball Radius | 8mm |
| Ball Mass | 0.5 kg |
| Impact Velocity | 5,000, 10,000 & 20,000 (mm/s) |
| Impact Location | Wing skin (centered above main spar/rib) |
| Step Type | Explicit Dynamics |
| Boundary Conditions | Wing fully fixed at root; free at tip |
3.3. Overview
3.4. Impact Resistance Simulation Analysis and Results (Carbon Fiber)
| Parameter | Carbon Fiber | Balsa Wood | |||
| Density | 1.60e-3(g/mm³) | 1.6E-10 | |||
| E1 (MPa) | 135000 | 1000 | Xt | 2300 | 10 |
| E2=E3 | 10000 | 60 | Xc | XC=1800 | 2.5 |
| V12= V13 | 0.28 | 0.35 | Yt | 65 | 5 |
| V23 | 0.35 | 0.45 | Yc | 150 | 2.5 |
| V21= V31 | 5000 | 0.021 | Zt | 100 | 5 |
| V32 | 3500 | 0.45 | Zc | 90 | 1.8 |
| G12 | 1230 | 300 | f12 | 90 | 1.8 |
| G13 | 890 | 300 | f13 | 22 | 1.2 |
| G23 | 60 | 20 | f23 | 1.8 | 1 |
3.4.1. Impact Simulation Carbon Fiber Standard Aerospace-Grade (Mass 0.5 kg, and Velocity 5,000 mm/s)

3.4.2. Impact Simulation at (Mass 0.5 kg, and Velocity 10,000 mm/s)

3.4.3. Impact Simulation at (Mass 1kg, and Velocity 20,000 mm/s)

3.5. Impact Resistance Simulation Analysis and Results (E-Glass)
| Property | Value |
| E1, E2, E3 | 65000, 23000, 23000 MPa |
| ν12, ν13, ν23 | 0.24, 0.24, 0.33 |
| G12, G13, G23 | 8000, 8000, 6000 MPa |
| XT, XC | 1900, 1650 MPa |
| YT, YC | 95, 250 MPa |
| S12, S23 | 120, 105 MPa |
| Density | 2.20e-3 g/mm³ |
3.5.1. Impact Simulation E-Glass (Mass 0.5 kg, and Velocity 5,000 mm/s)
- Upon impact with a 0.5 kg ball at 5000 mm/s, the skin did crack, no rupture, or delaminate.
- Only two local mesh cells at the point of impact were slightly deformed (dented), with no visible fracture or penetration.
- The material demonstrated exceptional stiffness, dispersing the energy radially with minimal local damage and no effect on surrounding areas or internal structures.
- The impactor rebounded instantly, confirming high elastic recovery and low energy retention in the form of damage.

3.5.2. Impact Simulation at (Mass 1kg, and Velocity 20,000 mm/s)
- Skin Performance:
- Internal Structural Response:
- Energy Dissipation:
- Elastic Absorption:

3.5.3. Impact Simulation at (Mass 1kg, and Velocity 20,000 mm/s)
- Skin Response:
- Rib Integrity:
- Energy Dispersion Behaviour:
- Mesh Field Observation:

- Material Strain Rate Sensitivity:
- 2.
- Impact Dwell Time Reduction:
- 3.
- Elastic-Plastic Transition Thresholds:
| Factor | 10,000 mm/s Test | 20,000 mm/s Test |
| Impactor Dwell Time | Longer | Shorter |
| Stress Build-Up Duration | Gradual | Instantaneous |
| Energy Spread Depth | Moderate | Very Surface-Level |
| Ball Exit Behaviour | Delayed rebound | Immediate rebound |
| Skin Mesh Damage | ~8–12 cells | ~4 cells |
| Rib Force Absorption | Distributed but noticeable | Immediate and well-contained |
| Overall Result | Excellent | Outstanding (Best) |
4. Impact Response Analysis: Force, Displacement and Energy
4.1. Force–Time Curve

4.2. Force–Displacement Curve

4.3. Energy Absorption Curve

- Localized impact control
- Minimal structural response
- Higher post-impact stiffness
- Excellent shear and transverse strength behaviour
| Improvement | Effect |
| High Moduli (E, G) | Excellent stiffness and reduced deformation |
| Increased XT/XC | Strong resistance to direct hits and compression |
| High YT/YC | Stops transverse failure and delamination |
| High S12/S23 | Prevents internal layer sliding or shear tear |
| Balanced ν ratios | Prevent edge warping or mesh collapse |
5. Conclusions
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