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bending-fatigue life
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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
... 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...
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 November 2012
DOI: 10.31399/asm.tb.ffub.t53610147
EISBN: 978-1-62708-303-4
... to striations. Source: Ref 19 Fig. 26 Strain-life curves for steels with varying microstructures and hardness. Source: Ref 13 Fig. 32 Rotating-bending fatigue fracture of a keyed shaft of 1040 steel, approximately 30 HRC. The fatigue crack originated at the lower left corner...
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.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250293
EISBN: 978-1-62708-345-4
... be considered in conjunction with the teeth to enhance fatigue life. bending stress fatigue life gears gear tooth impact fracture life prediction surface durability pitting wear GEARS can fail in many different ways, and except for an increase in noise level and vibration, there is often...
Abstract
This chapter summarizes the various kinds of gear wear and failure and how gear life in service is estimated and discusses the kinds of flaws in material that may lead to premature gear fatigue failure. The topics covered are alignment, gear tooth, surface durability and breakage of gear tooth, life determined by contact stress and bending stress, analysis of gear tooth failure by breakage after pitting, and metallurgical flaws that reduce the life of gears. The chapter briefly reviews some components in the design and structure of each gear and/or gear train that must be considered in conjunction with the teeth to enhance fatigue life.
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
..., was developed by Palmgren and Miner. This theory is popularly known as Miner’s Rule and is now widely used to calculate both bending and pitting fatigue life of gears ( Ref 3 ). According to this theory, failure occurs when the following is satisfied: (Eq 2) ∑ i D i = ∑ i n i...
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 December 2000
DOI: 10.31399/asm.tb.htgpge.t67320033
EISBN: 978-1-62708-347-8
... is selected. The choice determines the surface case and core hardnesses. A low surface hardness of tooth reduces the pitting life of gears. On the other hand, low core hardness reduces bending fatigue life. As already discussed, the surface hardness of a gear tooth is strictly dependent on the percentage...
Abstract
The primary objective of carburizing and hardening gears is to secure a hard case and a relatively soft but tough core. For this process, low-carbon steels (up to a maximum of approximately 0.30% carbon), either with or without alloying elements (nickel, chromium, manganese, molybdenum), normally are used. The processes involved in hardening, tempering, recarburizing, and cold treatment of carburized and quenched gears are discussed. Next, the chapter reviews the selection of materials for carburized gears and considerations related to carbon content, core hardness, and microstructure. This is followed by sections discussing some problems that can be experienced in the carburizing process and how these can be addressed, including a section on shot peening to induce compressive residual stress at and below the surface. It then discusses the applications of carburized gears and finally presents a case history of distortion control of carburized and hardened gears.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250163
EISBN: 978-1-62708-345-4
... and hardening is selected. The choice determines the surface case and core hardnesses. A low tooth surface hardness reduces the pitting life of gears. On the other hand, low core hardness reduces bending fatigue life. As already discussed, the surface hardness of a gear tooth is strictly dependent...
Abstract
Gas (atmosphere) carburizing is the de facto standard by which all other surface hardening techniques are measured and is the emphasis of this chapter. Initially, the chapter describes the process and equipment for gas carburizing. This is followed by sections discussing the processes involved in quenching, hardening, tempering, recarburizing, and cold treatment of carburized and quenched gears. Next, the chapter reviews the selection process of materials for carburized gears and provides information on carbon content, properties, and core hardness of gear teeth. The problems associated with carburizing are then covered, followed by the processes involved in heat treat distortion and shot peening of carburized and hardened gears. Information on grinding stock allowance on tooth flanks to compensate for distortion is also provided. The chapter further discusses the applications of carburized and hardened gears. Finally, it reviews vacuum carburizing and compares the attributes of conventional gas carburizing and vacuum carburizing.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2000
DOI: 10.31399/asm.tb.htgpge.t67320017
EISBN: 978-1-62708-347-8
...) is considered an optimum for case-carburized and hardened gears. Carbon in the range of 0.10 to 0.20% considerably reduces the maximum hardness that can be attained in steels. This range is generally beneficial in the core of carburized and hardened gears for high bending fatigue life. Fig. 3.1 Relation...
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 August 2015
DOI: 10.31399/asm.tb.piht2.t55050155
EISBN: 978-1-62708-311-9
...-hardened effective case depth of 2.54 mm (0.100 in.) to 40 HRC. Source: Ref 6 Fig. 7.9 Bending fatigue life of actual SE 15B35 induction-hardened spindles vs. the induction power setting. Source: Ref 6 Abstract Abstract Induction hardened steels are often tempered to increase...
Abstract
Induction hardened steels are often tempered to increase their ductility and relieve quenching stresses. During tempering, martensitic microstructures supersaturated with carbon decompose into a more stable, ductile form. This chapter discusses the transformations associated with the tempering process and their effect on ductility as well as other properties. It describes the structural and compositional changes that occur during the four stages of tempering, the relative influence of time and temperature, and how tempering affects the hardness of various grades of steel. The chapter discusses the practice of both furnace and induction tempering, describing where and how they are used, their tempering characteristics, strengths and limitations, and operating parameters. It also discusses the use of residual heat tempering, a self-tempering process.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.t69870157
EISBN: 978-1-62708-344-7
.... The difference, as explained, is due to the volumetric effect of stress in fatigue. bending fatigue elastic stress fatigue life low-cycle fatigue plastic flow shafts Introduction Application of the methodology thus far covered to the study of fatigue of circular shafts is valuable for two...
Abstract
This chapter deals with the effects of fatigue in rotating shafts subjected to elastic and plastic strains associated with bending stresses. It begins with a review of the basic approach to treating low-cycle fatigue in bending, explaining that the assumption that stress is proportional to strain is incorrect due to plastic flow, causing considerable discrepancy between measured and calculated stresses. Data plots of the axial and bending fatigue characteristics of a 4130 steel help illustrate the problem. A closed-form solution is then presented and used to analyze the effects of flexural bending on solid as well as hollow rectangular and round bars. The chapter also discusses the difference in the treatment of a rotating shaft in which all surface elements undergo the same stress and strain and a nonrotating shaft in which a few surface elements carry most of the load. The difference, as explained, is due to the volumetric effect of stress in fatigue.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250311
EISBN: 978-1-62708-345-4
... in a set pattern to accomplish break-in. As described previously, break-in is expected to increase the life of the gears. Thus, all specimens tested in a given project should be broken in using the same method. For root strength (bending fatigue) tests, break-in may not affect bending fatigue life but may...
Abstract
Mechanical tests are performed to evaluate the durability of gears under load. The chapter first discusses the processes involved in the computations of stress for test parameters of gear. Next, the chapter reviews the four areas of specimen characterization of a test program, namely dimensional, surface finish texture, metallurgical, and residual stress. The following section presents the tests that simulate gear action, namely the rolling contact fatigue test, the single-tooth fatigue test, the single-tooth single-overload test, and the single-tooth impact test. Finally, the chapter describes the test procedures for surface durability (pitting), root strength (bending), and scoring (or scuffing) testing.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250001
EISBN: 978-1-62708-345-4
... area, good surface hardness and high residual compressive stress are desired to improve endurance, or bending fatigue life. At the pitch diameter, a combination of high hardness and adequate subsurface strength are necessary to handle contact stress and wear and to prevent spalling. Numerous...
Abstract
This chapter begins with a review of some of the terms used in the gear industry to describe the design of gears and gear geometries. It then discusses the types of gears that operate on parallel shafts, intersecting shafts, and nonparallel and nonintersecting shafts. Next, the processes involved in the selection of gear are discussed, followed by information on the basic stresses applied to a gear tooth, the strength of a gear tooth, and the most widely used gear materials. Further, the chapter briefly reviews gear manufacturing methods and the heat treating processing steps including prehardening processes, through hardening, and case hardening processes.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1999
DOI: 10.31399/asm.tb.cmp.t66770135
EISBN: 978-1-62708-337-9
... of Residual Stress on the Fatigue Limit , Int. Conf. on Fatigue of Metals , Institution of Mechanical Engineers/American Society of Mechanical Engineers , 1956 , p 272 – 281 19. Arkhipov I. Y. and Polotskii M.S. (quoting Semencha), Tooth Bending Life of Case-Hardened Gears with Cores...
Abstract
The design of case-hardened components is an iterative process, requiring the consideration of multiple interrelated factors. This chapter walks readers through the steps involved in selecting an appropriate material and assessing the influence of alloy composition and cooling rate on core properties including hardenability, microstructure, tensile and yield strength, ductility, toughness, and fatigue resistance. It likewise explains how carbon affects case hardenability, surface hardness, and case toughness and how case depth influences residual stresses and bending and contact fatigue. It also discusses the effect of quenching methods and addresses the issue of distortion.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2008
DOI: 10.31399/asm.tb.fahtsc.t51130241
EISBN: 978-1-62708-284-6
... 1303.2 Relative elongation (A 5 ), % 30.45 … … Necking (Z), % 70.06 … … Bending yield strength (R g 0.2), MPa 822.8 … … Bending strength (R g ), MPa … 2604.1 2889.8 Bending fatigue limit (σ −1 ), MPa 358.0 745.0 887.1 Surface-strengthening coefficient, m 1 2.08 2.48...
Abstract
This chapter discusses the various factors influencing the evaluation of fatigue fracture of nitrided layers. It begins by describing the problems of enhancing the fatigue resistance of machine components. The significance and detailed assessment of the effect of a structural flaw are then explained, using investigations of the effect of variable core conditions on fatigue resistance as an example. This is followed by a discussion on the processes involved in the evaluation of fatigue properties of nitrided steels. The chapter also describes the determination of the fatigue characteristics of nitrided steels after the carbonitriding treatment.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2006
DOI: 10.31399/asm.tb.fdsm.9781627083447
EISBN: 978-1-62708-344-7
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
... are important, and an increase in mean stress will always cause a reduction in the fatigue life ( Fig. 14.8 ). A number of mathematical models have been developed that allow the effects of mean stress on stress amplitude to be predicted from fully reversed-bending data. Goodman developed a linear model, while...
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 August 2005
DOI: 10.31399/asm.tb.mmfi.t69540121
EISBN: 978-1-62708-309-6
... frequently is the major component of fatigue life, and so identification of the location and nature of origin sites is important in failure analysis. Typically fatigue cracks initiate near the surface, where nominal stresses are often higher (e.g., in bending), and where geometric variations at surfaces...
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.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 September 2005
DOI: 10.31399/asm.tb.gmpm.t51250039
EISBN: 978-1-62708-345-4
... characteristics of gear steels and the bending fatigue strength and properties of carburized steels are reviewed. In addition to wrought steels, the chapter provides information on the other iron-base alloys that are used for gears, namely cast carbon and alloy steels, gray and ductile cast irons, powder...
Abstract
This chapter describes important requirements for ferrous and nonferrous alloys used for gears. Wrought surface-hardening and through-hardening carbon and alloy steels are the most widely used of all gear materials and are emphasized in this chapter. The processing characteristics of gear steels and the bending fatigue strength and properties of carburized steels are reviewed. In addition to wrought steels, the chapter provides information on the other iron-base alloys that are used for gears, namely cast carbon and alloy steels, gray and ductile cast irons, powder metallurgy irons and steels, stainless steels, and tool steels. In terms of nonferrous alloys, the chapter addresses copper-base alloys, die cast aluminum alloys, zinc alloys, and magnesium alloys.
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
... not have a crack-like sharpness and which do not significantly reduce the load-bearing area of a component, generally have little effect on bending fatigue performance. As noted above, notches or stress concentration sites will reduce the fatigue life and fatigue limit strength. One might suspect...
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: 30 November 2013
DOI: 10.31399/asm.tb.uhcf3.t53630117
EISBN: 978-1-62708-270-9
... Fig. 8 Electron micrograph showing a block-loaded test article with a band of 10 cycles of a higher load. Source: Ref 2 Fig. 17 Surface of a fatigue fracture in a grade 1050 steel shaft, with hardness of about 35 HRC, that was subjected to rotating bending. The presence of numerous...
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.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 1999
DOI: 10.31399/asm.tb.cmp.t66770171
EISBN: 978-1-62708-337-9
... 47.5 Source: Ref 22 Fatigue of 9310 steel at two retained austenite levels Table 7.18 Fatigue of 9310 steel at two retained austenite levels Life cycles Stress for failure Retained austenite, 56% Retained austenite, 31% 10 7 880 806 10 6 ~880 ~880 10 5 ~900...
Abstract
This chapter familiarizes readers with tempering and refrigeration treatments and their effect on case-carburized parts. It explains how tempering makes such parts easier to machine, more structurally and dimensionally stable, and more durable in certain applications. It identifies key process parameters and provides test data showing how they affect hardness, yield strength, bending and contact fatigue, and fracture toughness. It also addresses potential problems stemming from process-related factors such as the presence of hydrogen and the effects of aging and grinding. In regard to refrigeration, the chapter explains that it is not uncommon for subzero treatments to be included in the production of carburized parts whether as a standard procedure or optional step. Subzero cooling promotes the transformation of retained austenite to martensite, thereby increasing surface hardness and reducing the propensity of quenched carburized steels to burn and crack during surface grinding. The chapter includes numerous data plots and tables showing how the various treatments influence hardness, wear resistance, tensile properties, and fatigue and fracture behaviors.