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High Cycle Fatigue: A Mechanics of Materials Perspective part 15

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For the particular set of data used, from which experimental results were chosen at random for the statistical analysis, a confidence level of 90% could be obtained over the range ± using the following test programs:. 10–3–5–6 specimens (a total of 24 specimens) tested at levels MPa for the exponential (Nelson) model, Equation (3.22), and 10–3–6–10 specimens (a total of...

High Cycle Fatigue: A Mechanics of Materials Perspective part 16

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While most of the materials show an increase of fatigue limit strength as a function of frequency, 0.86% carbon steel and, to a lesser extent Armco iron, show a maximum stress at a frequency of approximately 10 kHz.. They question, however, their own mathematical analysis of the strains based on beam deflection (contributed by Prof. Love) and the purely elastic...

High Cycle Fatigue: A Mechanics of Materials Perspective part 17

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Threshold stress intensity, K th. Endurance limit stress, σ e. Growth below long crack threshold. Growth below endurance limit. El Haddad a 0 correction. Schematic of a Kitagawa diagram.. There are two regions shown in the diagram where cracks can exist either below the endurance limit or the below the extrapolated long crack threshold. In the first case, the crack...

High Cycle Fatigue: A Mechanics of Materials Perspective part 18

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Figure 4.10. HCF limit strength with and without LCF pre-damage: (a) R HCF = 05, (b) R HCF = 01, (c) R HCF = 08.. 900 MPa, 0.5R 50,000 cycles Figure 4.10. In this case, strain ratcheting occurred during the LCF portion of the test, but no ratcheting was observed in the HCF portion of the test under step-loading conditions....

High Cycle Fatigue: A Mechanics of Materials Perspective part 19

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The proposed answer to this question is based on the concept of a weakest link theory where the location of the fatigue failure initiation point is a random variable in space. However, in precracking of the material in the case of C-shaped specimens, and particularly in the case of notched specimens, the process finds the location of the weakest link...

High Cycle Fatigue: A Mechanics of Materials Perspective part 20

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Figure 4.21. Figure 4.22. Figure 4.23. HCF thresholds at R = 01 on a Kitagawa type diagram.. Figure 4.24. The horizontal line in each figure represents the experimentally determined endurance limit of the uncracked specimen corresponding to 10 7 cycles. It can be seen in both figures that the data obtained using LCF at R = 01 (circles) show what...

High Cycle Fatigue: A Mechanics of Materials Perspective part 21

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They examined LCF–HCF interactions at negative values of R under both smooth bar conditions, where LCF generated cracks are difficult to detect and may not even exist, and under notch fatigue, where cracks were deliberately introduced and detected. Their investigation explored the nature of the crack initiation, threshold crack propagation, and any associated load-history effects when a specimen is initially...

High Cycle Fatigue: A Mechanics of Materials Perspective part 22

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LCF–HCF nomenclature. Combined LCF–HCF loading has caused some confusion over the years because of nomenclature and the differences that occur when dealing with actual usage versus mathematical formulations involving simple linear summation concepts. Consider the schematic of Figure 4.39 that shows the major cycles (LCF) with a hold or dwell time in between them during which HCF cycles can occur....

High Cycle Fatigue: A Mechanics of Materials Perspective part 23

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the LCF cycles can be considered to be an underload on the baseline HCF cycles. The results, based on the use of a number of values of OLR, are presented in Figure 4.51. OLR = 1 represents the case where there is no overload in the baseline LCF–HCF cycle. The results show that as OLR increases, the retardation effect of...

High Cycle Fatigue: A Mechanics of Materials Perspective part 24

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Values of k t for U-shaped notch.. FATIGUE NOTCH FACTOR. The fatigue behavior of a notched component is not necessarily governed solely by the maximum stress at the notch root. In general, the fatigue life or fatigue strength is greater in a notched component based solely on the stress at the notch root compared to a smooth bar with that...

High Cycle Fatigue: A Mechanics of Materials Perspective part 25

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When notches act like cracks, the mechanism leading to a fatigue limit is the growth of small cracks from the notch tip which may become non-propagating cracks. The criterion for the fatigue limit is the onset of crack propagation from an arrested crack and not crack initiation. This is a material-based limit according to Miller [15] rather than a limit...

High Cycle Fatigue: A Mechanics of Materials Perspective part 26

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Mean stress (ksi). Figure 5.19. Smooth and notch fatigue data from [22] and methods for representing the notch curve.. So, not heeding my own advice, I offer the following as a method for fitting notch data based on the results shown in Figure 5.19. Following the concepts presented above that were put forth by Bell and Benham [18], the modification...

High Cycle Fatigue: A Mechanics of Materials Perspective part 27

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Figure 5.25. What makes this approach work so well is the fact that G F turns out to be a constant for a large body of data. It is also shown in [29] that the fatigue notch factor can be obtained from the following equation.. In the work of Nisitani and Endo [16], the stress field ahead of an elliptical...

High Cycle Fatigue: A Mechanics of Materials Perspective part 28

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This formula is based on the assumption that the fatigue ratio is a function of the creep rupture strength only. The empirical relationship is of the form. From these, the fatigue strength of a smooth bar at R. 1 and R = 0 can be determined at any temperature in the creep regime. At that temperature, the Haigh diagram is...

High Cycle Fatigue: A Mechanics of Materials Perspective part 29

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One rather ironic example of a fretting-fatigue failure is that experienced while con- ducting fretting-fatigue experiments in the laboratory. Figure 6.6 is a schematic of the upper part of a dovetail fixture used to conduct fretting-fatigue experiments [5]. The fixture is free to rotate because it is held by a pin which, in turn, is held in a clevis which...

High Cycle Fatigue: A Mechanics of Materials Perspective part 30

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Figure 6.16. Figure 6.17. In Figure 6.16, it is clearly seen that for = 10, the local contact stresses are dominant up to a crack length of approximately a/b = 005 and, as mentioned above, there is a significant decrease in K up to that crack length. Figure 6.18, on the other hand, shows that the far-field stress. Finally, the...

High Cycle Fatigue: A Mechanics of Materials Perspective part 31

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Of greatest interest in the determination of the FLS for fretting fatigue is the maximum value of the axial stress, xx , at the interface as shown in Figure 6.21, for example, at the edge of contact. [31] the value of this stress is taken as the sum of the contributions due to the contact shear load, the normal pressure,...

High Cycle Fatigue: A Mechanics of Materials Perspective part 32

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Because of the steep stress gradients that are present in a contact region, parameters that are used for notch fatigue (see Chapter 5) should also have merit in fretting-fatigue life prediction.. Parameters used for notches such as a modified SWT, Walker equivalent stress, modified shear stress range, or Findley parameter have been tried in an attempt to consolidate data from...

High Cycle Fatigue: A Mechanics of Materials Perspective part 33

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Figure 6.42. Cross-section of a fretting fatigue cracked specimen prior to fracture [47].. Figure 6.43. Cross-section of failed fretting fatigue sample showing crack orientation [52].. Their criterion for initiation of a crack is related to the direction of maximum shear stress range, but propagation is governed by the direction of the maximum tangential stress range around the crack tip. In...

High Cycle Fatigue: A Mechanics of Materials Perspective part 34

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b is the semi-width of the overall contact and a is the semi-width of the central flat part.. These numerical findings are consistent with those of the previously cited references where larger local values of COF are deduced from combined experimental and numerical findings. Thus, the value of COF becomes an important aspect in the analysis of fretting-fatigue conditions and,...