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High Cycle Fatigue: A Mechanics of Materials Perspective part 40

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Haritos, G., Nicholas, T., and Lanning, D., “Notch Size Effects in HCF Behavior of Ti-6Al-4V”, Int. Nicholas, T., Barber, J.P., and Bertke, R.S., “Impact Damage on Titanium Leading Edges from Small Hard Objects”, Experimental Mechanics pp. Birkbeck, J.C., “Effects of FOD on the Fatigue Crack Initiation of Ballistically Impacted Ti- 6Al-4V Simulated Engine Blades”, Ph.D. and Ritchie, R.O., “Influence of...

High Cycle Fatigue: A Mechanics of Materials Perspective part 41

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FRACTURE MECHANICS CONSIDERATIONS. The implications of the shape of the Haigh diagram, as described by the modified Jasper formulation, for example, can be examined in terms of the fracture mechanics parameter related to the threshold for crack growth, namely K th . The FLS, which can be defined as the maximum stress under which a crack will not initiate and...

High Cycle Fatigue: A Mechanics of Materials Perspective part 42

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Figure 8.17. Haigh diagram for smooth and notched specimen data compared with fracture mechanics-based computations of allowable stresses based on initial flaw size a i. Looking at the same general problem of relating a Haigh diagram to a threshold plot, Nicholas and Zuiker [7] evaluated behavior under combined LCF–HCF loading. Using another set of data and addressing the problem from...

High Cycle Fatigue: A Mechanics of Materials Perspective part 43

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Figure 8.27. by finding the best value of the exponent m using a least squares fit to a straight line representation of all of the lines in Figure 8.26. The resulting model has a value of m = 034 and is shown in Figure 8.28. Here, all of the lines are brought together in a single band, but the degree...

High Cycle Fatigue: A Mechanics of Materials Perspective part 44

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a value of K th = 24 MPa. For the constant K max , increasing K min test, a value of K th = 22 MPa. By comparison, for the identical material, Ti-6Al-4V, small crack growth behavior from naturally initiated and FOD-induced small cracks was not observed below a K of 29 MPa. The concern for history effects in determining...

High Cycle Fatigue: A Mechanics of Materials Perspective part 45

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Figure 8.43. value for a normal distribution or some other measure of spread in the distribution curve is needed for a robust probabilistic design as indicated in the figure. Again, both the mean and the spread of the distribution of material strength and FODed strength are important for design purposes. (This representation is purely conceptual so the amplitude and shape...

High Cycle Fatigue: A Mechanics of Materials Perspective part 46

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This may provide a measurable improvement in the endurance limit or the fatigue limit strength at a large cycle count.. As noted above, the effect of residual compressive stress is to move the mean stress in the negative direction. For a smooth bar, this simply shifts the Haigh diagram, a plot of alternating stress against mean stress, to the left....

High Cycle Fatigue: A Mechanics of Materials Perspective part 47

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Marked changes in the slope of the S–N curves were observed in Ti-6-7/WQ owing to pronounced lifetime improvements in the HCF regime while finite life was only slightly improved.. These results serve to illustrate the complex nature of the effect of surface treatments on fatigue behavior, particularly in the HCF regime, and the dependence of such behavior on the characteristics...

High Cycle Fatigue: A Mechanics of Materials Perspective part 48

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Since the residual stresses are compressive, the computed K res is negative. While it should be recognized that K res being negative has no formal meaning, a negative K res is used to represent the contribution of the compressive loading across the crack surfaces. This, in turn, is added to the K of the applied loading. In the reported investigation,...

High Cycle Fatigue: A Mechanics of Materials Perspective part 49

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The residual stress state that results from plastic straining will depend on the cylinder geometry, material strain-hardening characteristics, unloading behavior of the material, and the level of strain hardening imposed. In that article, the authors point out that the computed stress intensity is the sum of the contributions due to the internal pressure loading, the residual stresses, and the internal...

High Cycle Fatigue: A Mechanics of Materials Perspective part 50

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These results indicate that 15.1% of the accidents were due to axle failures.. This is consistent with the results quoted by Lardner [5], who indicated that 18% of the accidents were due to axle failures at a much earlier date.. Apparently, the earliest documented research on fatigue of materials was conducted by Albert [21], who performed repetitive tension tests on...

High Cycle Fatigue: A Mechanics of Materials Perspective part 51

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A report [53] summarizing the results of the investigations was published in 1849. The report contains the first systematic investigation of the effect of moving loads on railroad bridge structures and fatigue of rails. Whether the substance of metal which has been exposed for a long period to per- cussion and vibrations, undergoes any change in the arrangement of its...

High Cycle Fatigue: A Mechanics of Materials Perspective part 52

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Only after the initial stages of the HCF Program were underway did it become known that the aerodynamic driver was the downstream stationary airfoils and an effective redesign occurred.. By the late 1980s Headquarters Tactical Air Command became concerned enough with HCF failures and fleet impacts, that the Director of Logistics sent a letter to the Air Force Systems Command’s...

High Cycle Fatigue: A Mechanics of Materials Perspective part 53

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Blend limits for FOD and criteria for removal or repair should be based on the FOD analysis required in the preceding paragraph. Material allowables for material which has been repaired, such as by blending or welding, should be adjusted as necessary to account for any degradation of the fatigue limit due to the blend or repair operation. The effect of...

High Cycle Fatigue: A Mechanics of Materials Perspective part 54

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Engine components should not fail due to HCF or a combination of HCF and LCF when subject to the maximum attainable combined steady-state and vibratory stresses at a rate above that stated in A.4.13.3.. Low-order crossings and all known drivers within two stages either upstream or down- stream of the subject component should have probabilistic design margins for final design...

High Cycle Fatigue: A Mechanics of Materials Perspective part 55

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Correction of mean standard deviation (σ). Proposed correction Svensson–Lorén correction Dixon–Mood mean. Comparison of Dixon–Mood, Svensson–Lorén correction, and proposed correction for N = 20 specimens.. Of course, there will be estimates for standard deviation which are both higher and lower than the mean, and these estimates will not be corrected to the true value using this correction. Compared to both...

High Cycle Fatigue: A Mechanics of Materials Perspective part 56

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comparisons provide some useful information concerning the capabilities and accuracy of the Fs approach. In all cases, the predicted threshold stress levels exceeded the experimental values. However, the differences between the actual and modeled notch dimensions may have contributed to the discrepancies to some degree. This would increase the effective stress concentration factor, thereby reducing the nominal threshold stress level....

High Cycle Fatigue: A Mechanics of Materials Perspective part 57

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Solving for pressure in CAPRI (the solver developed for similar materials in Purdue) involves finding the correct (a, e) pair corresponding to the applied force and moment.. Fourier decompositions like the one in Equation (F.15) can be done very rapidly using the discrete sine-transform.. the size and eccentricity of the stick zone is unknown a priori. Depending on the value...

High Cycle Fatigue: A Mechanics of Materials Perspective part 58

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Figure F.5 shows that the CARTEL solution (finite thickness) approaches the CAPRI solution (half-space) for a thickness where the thickness to contact length ratio b/a is greater than 5. Hills, D.A., Nowell, D., and Sackfield A., Mechanics of Elastic Contacts, Kluwer Academic Publishers, 1992.. Murthy, H., Harish, G., and Farris, T.N., “Efficient Modeling of Fretting of Blade/Disk Contacts Including Load...

High Cycle Fatigue: A Mechanics of Materials Perspective part 59

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Figure G.11. The distribution of k t is given in Figure G.14 [5]. The impact event leading to the damage site often resulted in non-propagating cracks, as shown in Figure G.15. Figure G.12. Figure G.13. Figure G.14. Figure G.15. The biggest benefit of the microscopic investigation was the identification of impact sur- face details that indicated the angle of incidence....