Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
Residual Strength and Fatigue Lifetime of ... - Solid Mechanics Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
compared to the 65% efficiency obtained for the simulation of fatigue crack growth in sandwich beams in Chapter 4, the computational efficiency is here more than 33% higher. This is due to a somewhat unrealistic and arbitrary choice of da/dN vs. G relations in the simulations in Chapter 4, where the da/dN vs. G relations were chosen so that the crack reaches the end of the specimens in hundreds of cycles to make the reference simulation of all individual cycles possible. The use of realistic da/dN vs. G relations here makes the crack growth significantly smaller in every cycle and provides room for more cycle jumps in the simulation. Table 5.3: Computational efficiency of the simulations with different control parameters. Control parameter qG=q Number of simulated cycles H45 specimen Saved cycles (%) H100 specimen Saved cycles (%) 0.05 1104 98.896 1096 98.904 0.10 548 99.452 557 99.443 0.15 411 99.589 381 99.619 0.20 312 99.688 323 99.677 0.25 243 99.757 188 99.812 5.3 Fatigue Crack Growth in the Face/Core Interface of Sandwich Panels In this section the 3D fatigue crack growth scheme developed in Chapter 4 is used to simulate fatigue crack growth in debonded sandwich panels with a circular debond at the centre. The simulation results will be compared with fatigue experiments at the end of this section. 5.3.1 Fatigue Experiments on Debonded Panels Five sandwich panels with a circular face/core debond at the centre were manufactured for fatigue experiments. The panel face sheets consist of three layers of Devold AMT DBLT 850 quadraxial glass fibre mats of a total thickness of 2 mm, each with a dry density of 850g/m 2 . The core materials are H45 Divinycell PVC foam with nominal densities of 45 kg/m 3 . The core thickness is 50 mm. The properties of the core materials, taken from the manufacturers’ data sheets (DIAB), and the face materials are given in Table 5.4. Figure 5.34 presents a drawing of the panels, including the dimensions, and an image showing one of the manufactured panels. 114
Figure 5.34: Drawing of debonded sandwich panels with an image of a manufactured panel. Table 5.4: Face and core material properties. Material E (MPa) G (MPa) Face sheet 19400 7400 0.31 Core: H45 50 15 0.33 All specimens were reinforced with wooden inserts at the edges to avoid crushing of the core. The debond was introduced before the resin infusion by inserting a piece of 0.025 mm thick Airtech release film on the core in the centre of the panels and sealing the edges with resin. The test rig consists of welded steel square profiles with a wall thickness of 3 mm. A 4 Mpix Digital Image Correlation (DIC) measurement system (ARAMIS 4M) was placed above the panels to monitor 2D surface strains and displacements in order to estimate the crack growth continuously during the experiments. The test rig was inserted in an MTS 810 servo-hydraulic testing machine with a maximum capacity of 100kN and an integrated T-slot table upon which the test rig was positioned and fixed. However, a smaller 25 kN load cell was used in the experiments to increase the accuracy of the load measurements, see Figure 5.35. To load the centre of the debond using the actuator of the testing machine a hole of a diameter of 6 mm was drilled at the centre through the entire thickness of the panels, and the centre of the debond was bolted to a long steel rod connected to the actuator piston, see Figure 5.37 and 5.38. The panels were fixed to the test rig by twelve steel clamps and four 6 mm thick steel plates as shown in Figure 5.37. To avoid harmful side forces on the testing machine actuator, which may be generated by an uneven debond growth during the fatigue loading, the setup in Figure 5.36 was used. The setup includes a lubricated bronze cylinder in which the actuator piston of the testing machine can move freely. The cylinder is connected to the four columns of the testing machine by adjustable steel arms. In 115 Wood inserts Debond
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Figure 5.34: Drawing <strong>of</strong> debonded s<strong>and</strong>wich panels with an image <strong>of</strong> a manufactured panel.<br />
Table 5.4: Face <strong>and</strong> core material properties.<br />
Material E (MPa) G (MPa) <br />
Face sheet 19400 7400 0.31<br />
Core: H45 50 15 0.33<br />
All specimens were reinforced with wooden inserts at the edges to avoid crushing <strong>of</strong> the core.<br />
The debond was introduced before the resin infusion by inserting a piece <strong>of</strong> 0.025 mm thick<br />
Airtech release film on the core in the centre <strong>of</strong> the panels <strong>and</strong> sealing the edges with resin. The<br />
test rig consists <strong>of</strong> welded steel square pr<strong>of</strong>iles with a wall thickness <strong>of</strong> 3 mm. A 4 Mpix Digital<br />
Image Correlation (DIC) measurement system (ARAMIS 4M) was placed above the panels to<br />
monitor 2D surface strains <strong>and</strong> displacements in order to estimate the crack growth continuously<br />
during the experiments. The test rig was inserted in an MTS 810 servo-hydraulic testing machine<br />
with a maximum capacity <strong>of</strong> 100kN <strong>and</strong> an integrated T-slot table upon which the test rig was<br />
positioned <strong>and</strong> fixed. However, a smaller 25 kN load cell was used in the experiments to increase<br />
the accuracy <strong>of</strong> the load measurements, see Figure 5.35. To load the centre <strong>of</strong> the debond using<br />
the actuator <strong>of</strong> the testing machine a hole <strong>of</strong> a diameter <strong>of</strong> 6 mm was drilled at the centre through<br />
the entire thickness <strong>of</strong> the panels, <strong>and</strong> the centre <strong>of</strong> the debond was bolted to a long steel rod<br />
connected to the actuator piston, see Figure 5.37 <strong>and</strong> 5.38. The panels were fixed to the test rig<br />
by twelve steel clamps <strong>and</strong> four 6 mm thick steel plates as shown in Figure 5.37. To avoid<br />
harmful side forces on the testing machine actuator, which may be generated by an uneven<br />
debond growth during the fatigue loading, the setup in Figure 5.36 was used. The setup includes<br />
a lubricated bronze cylinder in which the actuator piston <strong>of</strong> the testing machine can move freely.<br />
The cylinder is connected to the four columns <strong>of</strong> the testing machine by adjustable steel arms. In<br />
115<br />
Wood inserts<br />
Debond