Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
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the lowest values being for the Type C (triaxial DBL-800) laminates. The core materials are<br />
Divinycell PVC foams <strong>of</strong> type H130 <strong>and</strong> H250, <strong>and</strong> Rohacell PMI foam <strong>of</strong> type 51-IG. The<br />
properties for the core materials, taken from the manufacturers’ data sheets, are given in Table 3.3.<br />
Core<br />
type<br />
Nominal density<br />
(kg/m 3 )<br />
Table 3.3: Material properties <strong>of</strong> the cores.<br />
Compressive modulus<br />
(MPa)<br />
43<br />
Shear modulus<br />
(MPa)<br />
Compressive strength<br />
(MPa)<br />
H130 130 170 50 3<br />
H250 250 300 104 6.2<br />
PMI 52.1 70 19 0.9<br />
3.3 Characterisation <strong>of</strong> Face/Core Interface<br />
The interface fracture toughness characterisation <strong>of</strong> the foam cored s<strong>and</strong>wich specimens was<br />
performed using the Mixed Mode Bending (MMB) test rig <strong>and</strong> the MMB s<strong>and</strong>wich specimen<br />
(Quispitupa et al., 2009 <strong>and</strong> 2010), as shown in Figure 3.2. The MMB test rig was originally<br />
developed for mixed-mode fracture testing <strong>of</strong> monolithic composites (Reeder et al., 1990 <strong>and</strong><br />
Ozdil et al., 2000) <strong>and</strong> has recently become an ASTM st<strong>and</strong>ard test method D6671-01. The<br />
MMB test rig allows adjustment <strong>of</strong> the mixed-mode ratio by changing the lever arm distance c as<br />
shown in Figure 3.2. Quispitupa et al. (2009) further developed the MMB test rig for fracture<br />
testing <strong>of</strong> s<strong>and</strong>wich structures. The st<strong>and</strong>ard MMB composite test specimen is a rectangular<br />
unidirectional beam specimen with a predefined delamination located at the midplane. In the<br />
MMB s<strong>and</strong>wich specimen the initial crack is located in the face/core interface at the top <strong>of</strong> the<br />
specimen, see Figure 3.2. The compliance <strong>of</strong> the MMB s<strong>and</strong>wich specimen is determined by<br />
(Quispitupa et al., 2009):<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
where <strong>and</strong> P are the deflection <strong>of</strong> the loading point <strong>and</strong> the applied load, respectively, c is the<br />
lever arm distance, L the half-span length <strong>and</strong> is the load partitioning parameter at the left<br />
support (see Figure 3.2) given by<br />
3<br />
a 1 a 1<br />
<br />
3 D2<br />
k G f h f Gxzhc<br />
3<br />
3<br />
(3.2)<br />
a 1 a 1 a 1 a 1<br />
<br />
<br />
3 D k G h G h 3 D k G h<br />
2<br />
f<br />
f<br />
xz<br />
c<br />
1<br />
f<br />
f<br />
where the subscripts 1 <strong>and</strong> 2 refer to the face sheet <strong>and</strong> the core, respectively, a is the crack<br />
length, k is the shear correction factor, k=1.2, D2=D-B 2 /A, D1=1/(Efhf 3 /12), hf <strong>and</strong> hc are the face<br />
(3.1)