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S-N curve
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1995
DOI: 10.31399/asm.tb.sch6.t68200083
EISBN: 978-1-62708-354-6
... and stress rupture. The chapter describes the three main approaches to evaluating and designing structures relative to fatigue resistance: the S-N curve approach for high cycle fatigue, the strain range approach for low cycle fatigue, and the fracture mechanics approach. Two approaches to design against...
Abstract
This chapter provides an overview of factors that must be considered in the design of structural components for satisfactory service performance in terms of mechanical behavior of steel castings. The chapter discusses designing against yielding, excessive deflection, and creep and stress rupture. The chapter describes the three main approaches to evaluating and designing structures relative to fatigue resistance: the S-N curve approach for high cycle fatigue, the strain range approach for low cycle fatigue, and the fracture mechanics approach. Two approaches to design against brittle fracture are described, the ductile to brittle transition concept and the fracture mechanics approach. The chapter also discusses several types of corrosion behavior and emphasizes the need to interact with corrosion specialists in the design process. It illustrates the unique advantages that designers may gain by designing components as castings to achieve low stress concentrations economically.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870045
EISBN: 978-1-62708-344-7
...Abstract Abstract This chapter familiarizes readers with the methods used to quantify the effects of fatigue on component lifetime and failure. It discusses the development and use of S-N (stress amplitude vs. cycles to failure) curves, the emergence of strain-based approaches to fatigue...
Abstract
This chapter familiarizes readers with the methods used to quantify the effects of fatigue on component lifetime and failure. It discusses the development and use of S-N (stress amplitude vs. cycles to failure) curves, the emergence of strain-based approaches to fatigue analysis, and important refinements and modifications. It demonstrates the use of approximate equations, including the method of universal slopes and the four-point correlation technique, which provides reasonable estimates of elastic and plastic lines from information obtained in standard tensile tests. It also discusses high-cycle, low-cycle, and ultra-high cycle fatigue and presents several models that are useful for fatigue life predictions.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540121
EISBN: 978-1-62708-309-6
... the stress level at which the material will never fail. Figure 3.12 schematically represents this type of engineering data. Simply plotting the applied stress level against the number of cycles to failure, it is commonly known as the S-N curve. Fig. 3.12 Schematic representation of engineering...
Abstract
This chapter examines the stress-strain characteristics of metals and alloys subjected to cyclic loading and the cumulative effects of fatigue. It begins by explaining how a single load reversal can lower the yield stress of a material and how repeated reversals can cause strain hardening and softening, both of which lead to premature failure. It then discusses the stages of fatigue fracture, using detailed images to show how cracks initiate and grow and how they leave telltale marks on fracture surfaces. It goes on to describe fatigue life assessment methods and demonstrate their use on different metals and alloys. The chapter also discusses design-based approaches for preventing fatigue failures.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540415
EISBN: 978-1-62708-309-6
... Fig. A9.5 K IC versus temperature for Ti-25Al-10Nb-3V-1Mo (dotted line) and Ti-24Al-11Nb (solid line). Source: Ref A9.1 Fig. A9.6 S-N curves for Ti-25Al-10Nb-3V-1Mo and Ti-24Al-11Nb at room temperature. f = 30 Hz. Source: Ref A9.1 Fig. A9.7 S-N curves for Ti-25Al...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540397
EISBN: 978-1-62708-309-6
... da/dN curves for 15 aluminum alloys, R = 0 to 0.1. Source: Ref A7.8 Tensile and fracture toughness data for the new 7033-T6 high-strength automotive alloy are presented in Table A7.3 , which also compares these properties with the conventional 2014-T6 and 6061-T6 alloys. S-N curves...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2022
DOI: 10.31399/asm.tb.isceg.t59320049
EISBN: 978-1-62708-332-4
... is displayed as stress-life plots, called S-N curves . They are a plot of life or the cycles to failure on the x -axis (to logarithmic scale) and the stress amplitude on the y- axis. Figure 5.15 ( Ref 5 ) is an example of a stress-life plot (S –N curve) for ductile iron that is close to SAE International...
Abstract
This chapter provides an overview of how the disciplines of design, material, and manufacturing contribute to engineering for functional performance. It describes the interaction of product designers and casting engineers in product development. It discusses the consequences of component failure, uncertainty in data and assumptions, and selection of the factor of safety. The chapter also presents an overview of the functional requirements for product performance and provides an overview of product design development. It also presents a partial list of the different tests that are performed on prototypes and examples of product testing. The chapter describes the requirements of a traceability system.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ahsssta.t53700071
EISBN: 978-1-62708-279-2
... stress for conventional steels. Source: Ref 4.1 Fig. 4.4 Instantaneous n -values of Fe-18Mn-0.6C-1.5Al TWIP steel. Source: Ref 4.4 Fig. 4.5 S - N curve showing fatigue characteristics and endurance limit of a metal displaying a fatigue limit. Source: Adapted from Ref 4.5...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780249
EISBN: 978-1-62708-281-5
... ( Ref 1 ) involves using the endurance limit concept developed from the stress range versus number of cycles to final fatigue, or S - N , curve (Wohler diagram) as described in the preceding article, “ Fatigue Testing and Behavior .” In spite of its empirical nature, the S - N approach is a commonly...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610209
EISBN: 978-1-62708-303-4
... Crack nucleation effect Microcrack propagation effect Surface roughness Accelerates No effect Degree of cold work or dislocation density Retards Accelerates Residual compressive stresses Minor or no effect Retards Source: Ref 33 Fig. 52 S - N curves ( R = –1) for Ti...
Abstract
This chapter provides information and data on the fatigue and fracture properties of steel, aluminum, and titanium alloys. It explains how microstructure, grain size, inclusions, and other factors affect the fracture toughness and fatigue life of these materials and the extent to which they can be optimized. It also discusses the effect of metalworking and heat treatment, the influence of loading and operating conditions, and factors such as corrosion damage that can accelerate crack growth rates.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610147
EISBN: 978-1-62708-303-4
... Fig. 6 Constructing a constant-life diagram from a set of S - N curves containing three R ratios, where R = −1 is the fully reversed cyclic loading condition and R = + 1 is the monotonic ultimate strength of the material (no cyclic load). (a) Typical S - N curves. (b) Typical constant-life...
Abstract
This chapter discusses the factors that play a role in fatigue failures and how they affect the service life of metals and structures. It describes the stresses associated with high-cycle and low-cycle fatigue and how they differ from the loading profiles typically used to generate fatigue data. It compares the Gerber, Goodman, and Soderberg methods for predicting the effect of mean stress from bending data, describes the statistical nature of fatigue measurements, and explains how plastic strain causes cyclic hardening and softening. It discusses the work of Wohler, Basquin, and others and how it led to the development of a strain-based approach to fatigue and the use of fatigue strength and ductility coefficients. It reviews the three stages of fatigue, beginning with crack initiation followed by crack growth and final fracture. It explains how fracture mechanics can be applied to crack propagation and how stress concentrations affect fatigue life. It also discusses fatigue life improvement methods and design approaches.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 November 2012
DOI: 10.31399/asm.tb.ffub.t53610377
EISBN: 978-1-62708-303-4
... orientation on fatigue performance of AS4/3502 carbon/epoxy laminates. The ordinate represents the fatigue strength ratio, which is the ratio of fatigue stress to static strength. Source: Ref 10 Fig. 21 S - N curves for T300/934 carbon/epoxy laminates, R = –1. A, unidirectional [0] 16 ; B...
Abstract
Unlike metals, in which fatigue failures are due to a single crack that grows to a critical length, the effects of fatigue in composites are much more distributed and varied. As the chapter explains, there are five major damage mechanisms that contribute to the progression of composite fatigue, those being matrix cracking, fiber breaking, crack coupling, delamination initiation, and delamination growth. The chapter describes each mechanism in detail along with related factors. It also discusses the primary differences between composites and metals, the effect of manufacturing defects, damage tolerance, and testing and certification.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2000
DOI: 10.31399/asm.tb.htgpge.t67320133
EISBN: 978-1-62708-347-8
... ) curves of a gear steel. For gears carburized and hardened, the S - N curve for original and damaged material due to momentary overload remains more or less the same. But unfortunately, this is not the case with gears that are nitrided. Tests show that the nitrided gears do not have the same...
Abstract
Nitriding is a case-hardening process used for alloy steel gears and is quite similar to case carburizing. Nitriding of gears can be done in either a gas or liquid medium containing nitrogen. This chapter discusses the processes involved in gas nitriding. It reviews the effects of white layer formation in nitrided gears and presents general recommendations for nitrided gears. The chapter describes the microstructure, overload and fatigue damage, bending-fatigue life, cost, and distortion of nitrided gears. Information on nitriding steels used in Europe and the applications of nitrided gears are also provided. The chapter presents case studies on successful nitriding of a gear and on the failure of nitrided gears used in a gearbox subjected to a load with wide fluctuations.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1989
DOI: 10.31399/asm.tb.dmlahtc.t60490111
EISBN: 978-1-62708-340-9
... and the S-N Curve Most laboratory fatigue testing is done either with axial loading or in bending, thus producing only tensile and compressive stresses. The stress usually is cycled either between a maximum and a minimum tensile stress or between a maximum tensile stress and a maximum compressive...
Abstract
This chapter describes the phenomenological aspects of fatigue and how to assess its effect on the life of components operating in high-temperature environments. It explains how fatigue is measured and expressed and how it is affected by loading conditions (stress cycles, amplitude, and frequency) and factors such as temperature, material defects, component geometry, and processing history. It provides a detailed overview of the damage mechanisms associated with high-cycle and low-cycle fatigue as well as thermal fatigue, creep-fatigue, and fatigue-crack growth. It also demonstrates the use of tools and techniques that have been developed to quantify fatigue-related damage and its effect on the remaining life of components.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240243
EISBN: 978-1-62708-251-8
.... A comparison of the S - N curves for steel and aluminum is shown in Fig. 14.4 . Note that steel not only has a higher fatigue strength than aluminum, but it also has an endurance limit. Below a certain stress level, the steel alloy will never fail due to cyclic loading alone. On the other hand, aluminum...
Abstract
Fatigue failures occur due to the application of fluctuating stresses that are much lower than the stress required to cause failure during a single application of stress. This chapter describes three basic factors that cause fatigue: a maximum tensile stress of sufficiently high value, a large enough variation or fluctuation in the applied stress, and a sufficiently large number of cycles of the applied stress. The discussion covers high-cycle fatigue, low-cycle fatigue, and fatigue crack propagation. The chapter then discusses the stages where fatigue crack nucleation and growth occurs. It describes the most effective methods of improving fatigue life. The chapter also explains the effect of geometrical stress concentrations on fatigue. In addition, it explores the environmental effects of corrosion fatigue, low-temperature fatigue, high-temperature fatigue, and thermal fatigue. Finally, the chapter discusses a number of design philosophies or methodologies to deal with design against fatigue failures.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250227
EISBN: 978-1-62708-345-4
... N i = 1 where D i is the damage done to a part due to a certain stress level, n i is the number of cycles the part experienced at this stress level, and N i is the number of cycles to failure at that stress level. Figure 6 shows a typical endurance ( S - N ) curve...
Abstract
Nitriding is a surface hardening heat treatment that introduces nitrogen into the surface of steel while it is in the ferritic condition. Gas nitriding using ammonia as the nitrogen-carrying species is the most commonly employed process and is emphasized in this chapter. Nitriding produces a wear- and fatigue-resistant surface on gear teeth and is used in applications where gears are not subjected to high shock loads or contact stress. It is useful for gears that need to maintain their surface hardness at elevated temperatures. Gears used in industrial, automotive, and aerospace applications are commonly nitrided. This chapter discusses the processes involved in gas, controlled, and ion nitriding.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540383
EISBN: 978-1-62708-309-6
... in working with some random block spectra. This method requires no modeling other than calculating an rms value that ultimately represents all the loads in the entire spectrum. Then this rms load/stress level is directly used with the material S-N curve. Although the rms method is computationally efficient...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780055
EISBN: 978-1-62708-281-5
... dependent on the applied load. S - N curves have been generated for a number of thermoplastics ( Ref 10 ) at room temperature with a standard tensile specimen with a net cross section of 12.7 by 3.2 mm (0.5 by 0.125 in.). The tensile load was varied from a very small load (nearly zero) to various maximum...
Abstract
The key to any successful part development is the proper choice of material, process, and design matched to the part performance requirements. This article presents examples of reliable material performance indicators and common practices to avoid. Simple tools and techniques for predicting plastic part performance (stiffness, strength/impact, creep/stress relaxation, and fatigue) integrated with manufacturing concerns (flow length and cycle time) are demonstrated for design and material selection.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630117
EISBN: 978-1-62708-270-9
.... Fig. 18 Typical fatigue ( S-N ) diagram of laboratory fatigue testing of medium-strength ferrous metal. Fig. 22 Schematic representation of fatigue-fracture surface marks produced in smooth and notched cylindrical components under various loading conditions. Note that the final rupture...
Abstract
Fatigue fractures are generally considered the most serious type of fracture in machinery parts simply because fatigue fractures can and do occur in normal service, without excessive overloads, and under normal operating conditions. This chapter first discusses the three stages (initiation, propagation, and final rupture) of fatigue fracture followed by a discussion of its microscopic and macroscopic characteristics. The relationship between stress and strength in fatigue is explained. The next section provides information that may help the uninitiated to appreciate some of the problems of laboratory fatigue testing and of the fatigue process itself. Finally, information on types and statistical aspects of fatigue is provided along with examples.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540411
EISBN: 978-1-62708-309-6
.... Source: Ref A8.2 Fig. A8.2 da/dN curves for mill-annealed Ti-6Al-4V plate, 6.4 mm (0.25 in.) thick, with buckling restraint. Source: Ref A8.3 Fig. A8.3 S-N curves for Ti-6Al-4V castings. Source: Ref A8.4 Fig. A8.4 da/dN curves for Ti-6Al-4V castings. Source: Ref...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.tb.ahsssta.9781627082792
EISBN: 978-1-62708-279-2