applied fracture mechanics

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Good Practice for Fatigue Crack Growth Curves Description 201for the SEN specimen:2 3 4 a a a a Y 1,12 0,231 10,55 21,72 30,39 W W W W(10)where a/W is a non-dimensional crack length.The compliance function to compute the crack length in the RCT specimen has the form:a2 3 4 51 4.459 u 2.066 u 13.041 u 167.627 u 481.4 uW (11)for the SEN specimen (Bukowski & Kłysz 2003):a2 31.407 4.132 u 3.928 u 1.364 uW (12)where: u – compliance described by the following formula:1u E B COD1 F 0.5,(13)E – Young’s modulus,COD – Crack Opening Displacement.An example of the F-COD relationship has been plotted in Fig. 3. The plot has been gainedfrom the fatigue crack growth test conducted for the SEN specimen made fromconstructional steel subjected to constant amplitude loading with overloads (Bukowski &Kłysz, 2003). The records were taken in the course of statically <strong>applied</strong> 2-cycle overloads of40% order at subsequent stages of crack propagation. Load base level and overload levelwere gradually reduced as the crack growth kept increasing and after non-linearity(hysteresis loop) had occurred in the F-COD plot. The objective was to avoid failure of thespecimen in a subsequent overload cycle to be able then to continue the crack-propagationtest. Any change in the angle of inclination of the rectilinear segment of each of thehysteresis loops (i.e. the F/COD proportion from formula (13)) is a measure of thespecimen’s compliance u and proves the crack length in the specimen under examinationkeeps growing.Results presented below come from the examination of the 2024 aluminum alloy taken fromthe helicopter rotor blades (Kłysz & Lisiecki, 2009) or from the aircraft ORLIK’s fuselageskins (Kłysz et al., 2010b) and are obtained for three values of test stress ratio R = 0.1; 0.5; 0.8,under laboratory conditions, with loading frequency 15 Hz. The crack length was measuredwith the COD clip gauge using the compliance method. The crack growth rate wasdetermined using the polynomial method.
202Applied Fracture MechanicsFigure 3. Relationship of F-COD recorded in subsequent overload cycles of fatigue crack growth test3. Data analysisResults of fatigue crack growth rate tests for 3 specimens (for R = 0.1; 0.5; 0.8) are presentedin Fig. 4 (Lisiecki & Kłysz, 2007).(a)(b)Figure 4. Fatigue crack growth rates in 3 specimens for different R values – a) test data, b) results ofapproximation
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PrefaceKnowledge accumulated in the
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Section 1Computational Methods of F
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Chapter 4Fracture of Dental Materia
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Fracture Mechanics Based Models of
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