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

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should be taken into account for a realistic determination <strong>of</strong> the compliance <strong>of</strong> the MMB<br />

specimens. To consider the effect <strong>of</strong> test rig deformations, the compliance <strong>of</strong> the test rig was<br />

determined by use <strong>of</strong> a thick stiff steel beam <strong>of</strong> a thickness <strong>of</strong> 10 mm, width <strong>of</strong> 25 mm <strong>and</strong> length<br />

<strong>of</strong> 250 mm. To determine the compliance <strong>of</strong> the test rig, denoted as Crig in Equation (5.2), the<br />

compliance <strong>of</strong> the steel specimen, Csteel, was subtracted from the measured total compliance,<br />

Cmeasured.<br />

C C C<br />

( 5.2)<br />

rig<br />

measured<br />

steel<br />

The compliance <strong>of</strong> the steel specimen is calculated as<br />

C<br />

steel<br />

cL 2<br />

2L<br />

( 5.3)<br />

3<br />

E b t<br />

st<br />

s<br />

where bs is the width <strong>of</strong> the steel specimen, c is the lever arm distance, t is the thickness <strong>of</strong> the<br />

steel specimen, L is the span distance <strong>and</strong> Est is Young’s modulus <strong>of</strong> the steel specimen. Finally,<br />

the compliance <strong>of</strong> the MMB specimens is determined as<br />

C C C<br />

( 5.4)<br />

MMB<br />

Exp<br />

rig<br />

The MMB rig with the steel specimen was loaded in displacement control with 1 mm/min<br />

loading rate up to 100N for the different lever arm distances (c). The results <strong>of</strong> the compliance<br />

calibration are presented in Figure 5.23. It appears that the compliance <strong>of</strong> the test rig increases in<br />

a nearly linear fashion with increasing c values.<br />

Compliance <strong>of</strong> the test rig (m/N)<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0 20 40<br />

c (mm)<br />

60 80<br />

5.23: Compliance <strong>of</strong> the MMB test rig as a function <strong>of</strong> lever arm distances, c.<br />

To have an initial crack location for the MMB specimens similar to the initial crack location in<br />

the STT specimens, <strong>and</strong> to penetrate the resin blob at the crack tip, pre-cracking was conducted<br />

on the MMB specimens. A pre-cracking method proposed by Quispitupa et al. (2011) was used.<br />

The pre-cracking was conducted on a variant <strong>of</strong> a double cantilever beam configuration as shown<br />

in Figure 5.24. The specimen is clamped between two steel 20 mm thick blocks. A steel block is<br />

106

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