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Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

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previous observations <strong>of</strong> crack path behaviour for low-density foam cores, see e.g. Li <strong>and</strong><br />

Carlsson (1999). For specimens with H100 core, unstable crack growth was more pronounced,<br />

with the crack growing about 50 mm at each increment, allowing only two crack increments<br />

before the crack reached 70% <strong>of</strong> the specimen length. For the H100 specimens the crack location<br />

was again beneath the face/core interface, however, now slightly closer to the face sheet, just<br />

below the resin-rich layer on the core side, see Figure 2.15 (b). The H200 specimens failed at<br />

considerably higher loads (> 4 kN) by sudden delamination between the plies <strong>of</strong> the upper face<br />

sheet, causing a large unstable crack, reaching almost to the end <strong>of</strong> the specimen at one crack<br />

increment, see Figure 2.15 (c). Given such an unstable crack growth behaviour with a few crack<br />

increments per specimen, the use <strong>of</strong> st<strong>and</strong>ard data reduction methods such as “compliance<br />

calibration” or “modified beam theory” becomes questionable for this test. Thus, the fracture<br />

toughness <strong>of</strong> the face/core interface was determined from finite element analysis <strong>of</strong> the TSD<br />

specimen with the critical load as input. The calculated fracture toughness values <strong>and</strong> phase<br />

angles are listed in Table 2.3.<br />

Load (kN)<br />

1.2<br />

0.8<br />

0.4<br />

ao=50.8 mm<br />

a1=67.2 mm<br />

a3=88.1 mm<br />

a4=121 mm<br />

0<br />

0 0.4 0.8 1.2 1<br />

Vertical displacement (mm)<br />

Load (kN)<br />

3<br />

2<br />

1<br />

0<br />

0 Vertical 1displacement 2 (mm)<br />

Figure 2.14: Load vs. vertical displacement diagram for TSD specimens: (a) H45, (b) H100<br />

<strong>and</strong> (c) H200.<br />

Table 2.3: Calculated phase angles <strong>and</strong> fracture toughnesses at measured fracture loads.<br />

TSD specimen Phase angle, deg Fracture toughness (J/m 2 )<br />

H45 -24<br />

176±35<br />

H100 -29 672±69<br />

H200 -37 ---<br />

For the H200 specimens kinking <strong>of</strong> the crack into the face sheet occurred, so that the fracture<br />

toughness <strong>of</strong> the face/core interface could not be determined. Consequently, it was not possible<br />

to predict the face/core debond propagation load for the columns with H200 core.<br />

28<br />

ao=63.5 mm<br />

a1=124 mm<br />

a3=149 mm<br />

(a) (b) (c)<br />

Load (kN)<br />

5<br />

4<br />

3<br />

2<br />

1<br />

a o = 63.5 mm<br />

0<br />

0 1 2<br />

Vertical displacement (mm)

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