Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
Residual Strength and Fatigue Lifetime of ... - Solid Mechanics Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
G (J/m2) 600 400 200 0 H100 IMP=0.1mm IMP=0.2mm IMP=0.5mm (a) 0 2 4 6 8 10 Load (kN) Figure 2.22: (a) Energy release rate vs. load and (b) phase angle vs. load for a column with H100 core and 38.1 mm debond with different initial imperfection magnitudes. Table 2.5: Numerically predicted and experimentally measured debond propagation loads. Experiment Finite element analysis Debond length (mm) Debond length (mm) 25.4 38.1 50.8 25.4 38.1 50.8 Core Debond propagation load (kN) Debond propagation load (kN) H45 13.5±1 9.8±1.4 6.3±1.1 10.6 7.1 5.4 H100 13.8±0.9 10±1.2 8±0.9 16.8 11.2 9.1 H200 -- 12.3±1.7 8.1±1.2 -- -- -- The FEA predictions of debond propagation loads agree reasonably with the experimentally measured ones. It is clearly observed that the debond propagation load in the debonded columns decreases as the debond length increases. Furthermore, the propagation load increases with increased core density as a result of the increasing fracture resistance with core density. However, some inconsistencies are seen in the experimental results. For example the measured debond propagation loads for columns with H100 and H200 cores and 50.8 mm debond length are almost identical. These inconsistencies could be attributed to the local material distortions at the crack tip caused by the use of a blade to release the face/core debond and the resin-rich area at the tip of the insert film. The proximity of the debond propagation loads and the instability loads in Tables 2.4 and 2.5 show that the local instability load could be used as a measure of debonded column strength for this particular column case. This is, however, not a general conclusion valid for all debonded column cases where other failure mechanisms, such as compression failure, occur prior to local buckling instability. 36 Phase angle (deg.) -10 -20 -30 -40 0 2 4 Load (kN) 6 8 10 (b) IMP=0.1mm IMP=0.2mm IMP=0.5mm H100
2.7 Conclusion The first step in a step by step analysis of debonded sandwich structures is to analyse simple structures like sandwich columns and beams. In this case the analysis is less complicated compared to the analysis of debonded sandwich panels because of the possibility of having a fine mesh at the crack tip and a more detailed analysis due to less complex geometry. The compressive failure mechanisms of foam cored sandwich columns containing a face/core debond were experimentally and numerically investigated in this chapter. Sandwich columns with glass/epoxy face sheets and H45, H100 and H200 PVC foam cores were tested in a specially designed test rig. Most of the tested columns failed by debond propagation at the face/core interface or just below the interface towards the column ends. Bifurcation type buckling instability of the debonded face sheet was not observed before the debond propagation was initiated. It is believed that the initial imperfections are mostly responsible for this behaviour, which is similar to compression of a curved beam. Slight crack kinking into the core, resulting in the crack propagating below the interface on the core side, was observed in most of the column specimens with H45 core and some columns with H100 core. All columns with H200 core and 25.4 mm debond failed by compression failure of the face sheet above the debond location, which can be attributed to the proximity between the debond propagation load of the debonded face sheet and the compression failure load of the face sheet. Face compression failure was also observed for one of the columns with H100 core and 25.4 mm debond length. Instability and crack propagation loads of the columns were predicted based on a geometrically non-linear finite element analysis and linear elastic fracture mechanics. Modified TSD specimens were tested in different tilt angles to measure the fracture toughness of the interface at the calculated mode-mixity phase angles for the column specimens associated with the debond propagation. Comparison of the measured out-of-plane deflection, instability, and debond propagation loads from experiments and finite element analyses showed fair agreement. For most of the investigated column specimens, it was shown that the instability and debond propagation loads are very reasonable estimates of the ultimate failure load, unless the other failure mechanisms occur prior to buckling instability. 37
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G (J/m2)<br />
600<br />
400<br />
200<br />
0<br />
H100<br />
IMP=0.1mm<br />
IMP=0.2mm<br />
IMP=0.5mm<br />
(a)<br />
0 2 4 6 8 10<br />
Load (kN)<br />
Figure 2.22: (a) Energy release rate vs. load <strong>and</strong> (b) phase angle vs. load for a column with<br />
H100 core <strong>and</strong> 38.1 mm debond with different initial imperfection magnitudes.<br />
Table 2.5: Numerically predicted <strong>and</strong> experimentally measured debond propagation loads.<br />
Experiment Finite element analysis<br />
Debond length (mm) Debond length (mm)<br />
25.4 38.1 50.8 25.4 38.1 50.8<br />
Core Debond propagation load (kN) Debond propagation load (kN)<br />
H45 13.5±1 9.8±1.4 6.3±1.1 10.6 7.1 5.4<br />
H100 13.8±0.9 10±1.2 8±0.9 16.8 11.2 9.1<br />
H200 -- 12.3±1.7 8.1±1.2 -- -- --<br />
The FEA predictions <strong>of</strong> debond propagation loads agree reasonably with the experimentally<br />
measured ones. It is clearly observed that the debond propagation load in the debonded columns<br />
decreases as the debond length increases. Furthermore, the propagation load increases with<br />
increased core density as a result <strong>of</strong> the increasing fracture resistance with core density.<br />
However, some inconsistencies are seen in the experimental results. For example the measured<br />
debond propagation loads for columns with H100 <strong>and</strong> H200 cores <strong>and</strong> 50.8 mm debond length<br />
are almost identical. These inconsistencies could be attributed to the local material distortions at<br />
the crack tip caused by the use <strong>of</strong> a blade to release the face/core debond <strong>and</strong> the resin-rich area<br />
at the tip <strong>of</strong> the insert film. The proximity <strong>of</strong> the debond propagation loads <strong>and</strong> the instability<br />
loads in Tables 2.4 <strong>and</strong> 2.5 show that the local instability load could be used as a measure <strong>of</strong><br />
debonded column strength for this particular column case. This is, however, not a general<br />
conclusion valid for all debonded column cases where other failure mechanisms, such as<br />
compression failure, occur prior to local buckling instability.<br />
36<br />
Phase angle (deg.)<br />
-10<br />
-20<br />
-30<br />
-40<br />
0 2 4<br />
Load (kN)<br />
6 8 10<br />
(b)<br />
IMP=0.1mm<br />
IMP=0.2mm<br />
IMP=0.5mm<br />
H100