TAILIEUCHUNG - High Cycle Fatigue: A Mechanics of Materials Perspective part 17

High Cycle Fatigue: A Mechanics of Materials Perspective part 17. The nomenclature used in this book may differ somewhat from what is considered standard or common usage. In such instances, this has been noted in a footnote. Additionally, units of measurement are not standard in many cases. While technical publications typically adhere to SI units these days, much of the work published by the engine manufacturers in the United States is presented using English units (pounds, inches, for example), because these are the units used as standard practice in that industry. The graphs and calculations came in those units and no attempt was made to convert. | 146 Effects of Damage on HCF Properties Figure . Schematic of a Kitagawa diagram. should not grow. 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 behavior is dominated by fracture mechanics not stress. In the second the small crack correction of El Haddad smoothes out the threshold curve in order to meet the endurance limit at very small crack lengths. The Kitagawa type diagram 2 shown again schematically in Figure is a useful tool to evaluate the potential for a crack to reduce the HCF capability of a material irrespective of crack size. This plot of stress a against crack length a on log-log scales was first suggested for a simple edge-crack geometry where stress intensity is proportional to g a. The endurance limit when no crack is present or the threshold stress intensity when there is a crack represent the limits above which failure might occur and below which it will not corresponding to some chosen number of cycles or crack growth rate respectively. The endurance limit is a horizontal line in Figure while the threshold stress intensity is line of slope for the simple edge crack. The two The terminology for the diagram with log stress plotted against log crack length 2 used subsequently for any crack geometry and stress ratio is referred to variously in the literature as a Kitagawa-Takahashi diagram a K-T diagram a Kitagawa type diagram or most commonly a Kitagawa diagram. In this book the common terminology Kitagawa diagram will be used to refer to that type of plot. In a similar manner the terminology El Haddad short crack correction will be used to represent the contribution of El Haddad et al. 3 . The use of this terminology is in no way meant to be disrespectful to or to ignore the contributions of the co-authors of Kitagawa or El Haddad in the referenced publications. Rather the respective terminologies are

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