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shear stress
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in Failure Analysis of Helical Suspension Springs under Compressor Start/Stop Conditions
> ASM Failure Analysis Case Histories: Mechanical and Machine Components
Published: 01 June 2019
Fig. 8 Maximum shear stress as a function of displacement for two spring heights. The compressor that exhibited failures had a spring height of 25.0 mm. Lowering the compressor weight reduces the height, thus lowering the maximum stress as a function of lateral displacement. The fatigue bench
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in Analysis of Critical Stress for Subsurface Rolling Contact Fatigue Damage Assessment Under Roll/Slide Contact
> Handbook of Case Histories in Failure Analysis
Published: 01 December 2019
Fig. 3 Influences of friction coefficients on subsurface principle shear stress: (a) Influence of friction coefficients on maximum principle shear stress along y -axis; and (b) Influence of friction coefficients on maximum principle shear stress along with y / a
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in Analysis of Critical Stress for Subsurface Rolling Contact Fatigue Damage Assessment Under Roll/Slide Contact
> Handbook of Case Histories in Failure Analysis
Published: 01 December 2019
Fig. 4 Influences of friction coefficients on subsurface octahedral shear stress: ( a ) Influence of friction coefficients on octahedral shear stress along y -axis: and ( b ) Influence of friction coefficients on octahedral shear stress along with y / a
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Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001807
EISBN: 978-1-62708-241-9
... coefficient with the test time,; and ( b ) FWHM along the radii of test samples) Fig. 2 Vary of Δτ xy along with y / a by different friction coefficients Fig. 3 Influences of friction coefficients on subsurface principle shear stress: (a) Influence of friction coefficients on maximum...
Abstract
Rolling contact fatigue is responsible for a large number of industrial equipment failures. It is also one of the main failure modes of components subjected to rolling contact loading such as bearings, cams, and gears. To better understand such failures, an investigation was conducted to assess the role of friction in subsurface fatigue cracking in rolling-sliding contact applications. Based on the results of stress calculations and x-ray diffraction testing of steel samples, friction contributes to subsurface damage primary through its effect on the distribution of orthogonal shear stress. Although friction influences other stress components, the effect is relatively insignificant by comparison. It is thus more appropriate to select orthogonal shear stress as the critical stress when assessing subsurface rolling contact fatigue in rolling-sliding systems.
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in The Role of Metallography and Fractography in the Analysis of Gun Tube Failures
> ASM Failure Analysis Case Histories: Failure Modes and Mechanisms
Published: 01 June 2019
Fig. 7 Network of adiabatic shear deformation resulting from complex stress state in the gun during detonation. Etched in picral.
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in Superplastic HSLA Steels: Microstructure and Failure
> Handbook of Case Histories in Failure Analysis
Published: 01 December 2019
Fig. 15 Theoretic curves (Ashby–Verrall model) of logarithm of yield stress/shear modulus versus logarithm of strain rate considering different grain sizes as well as for the steel investigated ( dashed line )
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Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006767
EISBN: 978-1-62708-295-2
... analysis of the component is necessary. Stress analysis is initially performed in the design stage of a development project. Frequently, principal stresses and maximum shear stresses are important to the designer because both are used in common failure expressions to calculate maximum load capability (e.g...
Abstract
This article describes concepts and tools that can be used by the failure analyst to understand and address deformation, cracking, or fracture after a stress-related failure has occurred. Issues related to the determination and use of stress are detailed. Stress is defined, and a procedure to deal with stress by determining maximum values through stress transformation is described. The article provides the stress analysis equations of typical component geometries and discusses some of the implications of the stress analysis relative to failure in components. It focuses on linear elastic fracture mechanics analysis, with some mention of elastic-plastic fracture mechanics analysis. The article describes the probabilistic aspects of fatigue and fracture. Information on crack-growth simulation of the material is also provided.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003530
EISBN: 978-1-62708-180-1
... be remembered that some parts are designed to fracture under certain circumstances. Not doing so may constitute the failure. Shear pins, for example, are commonly used to protect valuable equipment by acting as mechanical fuses. Stress directors in helicopter gearing are also designed so that if gear tooth...
Abstract
This article describes the underlying fundamentals, applications, the relevance and necessity of performing proper stress analysis in conducting a failure analysis. It presents an introduction to the stress analysis of bodies containing crack-like imperfections and the topic of fracture mechanics. The fracture mechanics approach is an important part of stress analysis at the tips of sharp cracks or discontinuities. The article reviews fracture mechanics concepts, including linear elastic fracture mechanics, elastic-plastic fracture mechanics, and subcritical fracture mechanics. It also provides information on the applications of fracture mechanics in failure analysis.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.mech.c9001596
EISBN: 978-1-62708-225-9
... spring diameter, d is the diameter of the wire, N is the number of turns, and G is the shear modulus. 5 The uncorrected shear stress is calculated from: (Eq 2) τ x = 8 P D m π d 3 in MPa where P is the load in N . The corrected stress is obtained by multiplying...
Abstract
During testing of compressors under start/stop conditions, several helical suspension springs failed. The ensuing failure investigation showed that the springs failed due to fatigue. The analysis showed that during start/stop testing the springs would undergo both a lateral and axial deflection, greatly increasing the torsional stresses on the spring. To understand the fatigue limits under these test conditions, a bench test was used to establish the fatigue strength of the springs. The bench tests showed that the failed springs had an unacceptable surface texture that reduced the fatigue life. Based on an understanding of the compressor motion, a Monte Carlo model was developed based on a linear damage theory to predict the fatigue life of the springs during start/stop conditions. The results of this model were compared to actual test data. The model showed that the design was marginal even for springs with acceptable surface texture. The model was then used to predict the fatigue life requirements on the bench test such that the reliability goals for the start/stop testing would be met, thus reducing the risk in qualifying the compressor.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006930
EISBN: 978-1-62708-395-9
... parameter Symbol Units Velocity, angular velocity Shear rate γ ˙ 1/sec Displacement, angular displacement Shear strain γ … Force, torque Shear stress σ N/m 2 (Pa) Ratio Symbol Units Viscosity = stress/shear rate η Pa-sec Modulus(t) = stress(t)/strain G...
Abstract
Rheology is defined as the study of the flow and deformation of matter. This article begins with an examination of flow behavior. It describes the geometries and methods employed for rheological testing of polymers in their molten state. It also discusses materials that are predominantly in the solid state and the methods employed for solids testing. Examples of unidirectional and dynamic oscillatory testing are provided for different mechanical behaviors.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003563
EISBN: 978-1-62708-180-1
...]</xref> The stress condition associated with RCF is illustrated schematically in Fig. 3 . With any condition of rolling, the maximum stress being applied at or very near the contact area is the shear stress parallel to the rolling surface at some point below the surface. For normally loaded gear teeth...
Abstract
A major cause of failure in components subjected to rolling or rolling/sliding contacts is contact fatigue. This article focuses on the rolling contact fatigue (RCF) performance and failure modes of overlay coatings such as those deposited by physical vapor deposition, chemical vapor deposition, and thermal spraying (TS). It provides a background to RCF in bearing steels in order to develop an understanding of failure modes in overlay coatings. The article describes the underpinning failure mechanisms of TiN and diamond-like carbon coatings. It presents an insight into the design considerations of coating-substrate material properties, coating thickness, and coating processes to combat RCF failure in TS coatings.
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in Failure Analysis of Helical Suspension Springs under Compressor Start/Stop Conditions
> ASM Failure Analysis Case Histories: Mechanical and Machine Components
Published: 01 June 2019
Fig. 9 Schematic diagram showing the addition of the torque (dotted line) due to lateral deflection on the spring during start/stop conditions. The solid line represents the torque due to the compression of the spring. The magnitude of the shear stress associated with the stress conditions
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Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.modes.c0091096
EISBN: 978-1-62708-234-1
... by a tensile stress normal to the 45° plane and not by the longitudinal or transverse shear stress that had been expected to cause an overload failure. Examination of the surfaces of one of the pieces of the broken shaft revealed small longitudinal and transverse shear cracks at the smallest diameter...
Abstract
A 4340 steel shaft, the driving member of a large rotor subject to cyclic loading and frequent overloads, broke after three weeks of operation. The driving shaft contained a shear groove at which the shaft should break if a sudden high overload occurred, thus preventing damage to an expensive gear mechanism. The rotor was subjected to severe chatter, which was an abnormal condition resulting from a series of continuous small overloads occurring at a frequency of around three per second. Investigation (visual inspection, hardness testing, and hot acid etch images) supported the conclusion that the basic failure mechanism was fracture by torsional fatigue, which started at numerous surface shear cracks, both longitudinal and transverse, that developed in the periphery of the root of the shear groove. These shear cracks resulted from high peak loads caused by chatter. The shear groove in the shaft had performed its function, but at a lower overload level than intended. Recommendations included increasing the fatigue strength of the shaft by shot peening the shear groove to minimize chatter.
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Published: 01 June 2019
attack on the base metal. 40×. (e) Nodule on upper surface of middle layer of laser mirror showing failure in a ductile/tensile mode. (f) Nodule from lower surface of middle layer of the mirror showing failure due to compressive/shearing stresses
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Book Chapter
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003544
EISBN: 978-1-62708-180-1
... of crack, and the sudden fracture of the remaining cross section. The article discusses the effects of loading and stress distribution on fatigue cracks, and reviews the fatigue behavior of materials when subjected to different loading conditions such as bending and loading. The article examines...
Abstract
This article describes three design-life methods or philosophies of fatigue, namely, infinite-life, finite-life, and damage tolerant. It outlines the three stages in the process of fatigue fracture: the initial fatigue damage leading to crack initiation, progressive cyclic growth of crack, and the sudden fracture of the remaining cross section. The article discusses the effects of loading and stress distribution on fatigue cracks, and reviews the fatigue behavior of materials when subjected to different loading conditions such as bending and loading. The article examines the effects of load frequency and temperature, material condition, and manufacturing practices on fatigue strength. It provides information on subsurface discontinuities, including gas porosity, inclusions, and internal bursts as well as on corrosion fatigue testing to measure rates of fatigue-crack propagation in different environments. The article concludes with a discussion on rolling-contact fatigue, macropitting, micropitting, and subcase fatigue.
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
..., whereas ductile materials are preferably described with the Gerber parabola. The diagrams for shear stresses (torsion, shear force) must be symmetrical to the y -axis, which leads, for example, to an elliptical failure line with the vertices T u (static torsion strength) and T alt (alternating...
Abstract
Fatigue failures may occur in components subjected to fluctuating (time-dependent) loading as a result of progressive localized permanent damage described by the stages of crack initiation, cyclic crack propagation, and subsequent final fracture after a given number of load fluctuations. This article begins with an overview of fatigue properties and design life. This is followed by a description of the two approaches to fatigue, namely infinite-life criterion and finite-life criterion, along with information on damage tolerance criterion. The article then discusses the characteristics of fatigue fractures followed by a discussion on the effects of loading and stress distribution, and material condition on the microstructure of the material. In addition, general prevention and characteristics of corrosion fatigue, contact fatigue, and thermal fatigue are also presented.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003538
EISBN: 978-1-62708-180-1
... by slip seemed to obey a critical resolved shear stress law (Schmid's law). Single crystals could be made to extensively twin rather easily. Today, Sohnke's law is no longer assumed to be valid (although a normal stress facilitates cleavage), and no critical shear stress law based on external loading has...
Abstract
This article provides a description of the microscale models and mechanisms for deformation and fracture. Macroscale and microscale appearances of ductile and brittle fracture are discussed for various specimen geometries and loading conditions. The article reviews the general geometric factors and materials aspects that influence the stress-strain behavior and fracture of ductile metals. It highlights fractures arising from manufacturing imperfections and stress raisers. The article presents a root cause failure analysis case history to illustrate some of the fractography concepts.
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006775
EISBN: 978-1-62708-295-2
... a critical resolved shear-stress law (Schmid’s law). Single crystals could be made to extensively twin rather easily. Today (2020), Sohnke’s law is no longer assumed to be valid (although a normal stress facilitates cleavage), and no critical shear-stress law based on external loading has been accepted...
Abstract
This article focuses on characterizing the fracture-surface appearance at the microscale and contains some discussion on both crack nucleation and propagation mechanisms that cause the fracture appearance. It begins with a discussion on microscale models and mechanisms for deformation and fracture. Next, the mechanisms of void nucleation and void coalescence are briefly described. Macroscale and microscale appearances of ductile and brittle fracture are then discussed for various specimen geometries (smooth cylindrical and prismatic) and loading conditions (e.g., tension compression, bending, torsion). Finally, the factors influencing the appearance of a fracture surface and various imperfections or stress raisers are described, followed by a root-cause failure analysis case history to illustrate some of these fractography concepts.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001849
EISBN: 978-1-62708-241-9
... of severe sliding conditions probably accompanied by localized heating (high shear stresses, frictional, or adiabatic heat generation), see Fig. 8 . Surface-initiated spalling of hardened steel rolls was accomplished in several distinct phases, see also [ Ref. 2 ]: The microstructure...
Abstract
Spalled fragments from the work rolls of a steel bar straightening machine were received for failure analysis. Visual inspection coupled with optical and scanning electron microscopy were used as the principal analytical techniques for the investigation. Fractographic analysis revealed the presence of a characteristic fatigue crack propagation pattern (beach marks) and radial chevron marks indicating the occurrence of final overload through a brittle intergranular fracture. The collected evidence suggests that surface-initiated cracks propagated by fatigue led to spalling, resulting in severe work roll damage as well as machine downtime and increased maintenance costs.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c0047986
EISBN: 978-1-62708-217-4
...-ring raceway. Metallographic examination of a circumferential section through the largest cavity revealed an elongated subsurface inclusion (arrow, Fig. 1d ). This inclusion was in the region of maximum shear stress in the bearing (approximately 0.1 mm, or 0.005 in., below the surface), which...
Abstract
The engine on a jet aircraft was shut down immediately as it produced excessive vibration. Complete failure of the cage in one of the two main-shaft ball bearings (placed side by side in the engine) was revealed in the dismantled engine. The ball bearings (made of vacuum-melted 52100 steel) were both of the single-row deep-groove type with split inner rings and were designed to operate at a maximum temperature of 175 deg C. Overtempering of the rings was indicated by the reduced hardness in comparison to unfailed rings. Severe damage to approximately 20% of the load-bearing surface, with more damage on one of the shoulders of the groove, was revealed during examination of the outer raceway of the bearing which indicated misalignment of the bearing. No damage other than spalling cavities in the inner-ring raceway, caused by the elongated subsurface inclusion revealed by metallographic examination of circumferential section of the largest cavity, was exhibited by the second bearing. It was concluded that the fracture of the cage was caused by overheating and misalignment caused excessive stressing of the bearing on the main shaft.
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