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stress concentration factors
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in Redesign of a Forged Manual Gear-Shift Lever Mechanism to Overcome Unacceptable Fatigue Failure of Original Forging
> ASM Failure Analysis Case Histories: Automobiles and Trucks
Published: 01 June 2019
Fig. 2 Stress concentration factor obtained in bending a quenched and tempered steel shaft having a circular fillet
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Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.process.c0048150
EISBN: 978-1-62708-235-8
... calculations to be very close to the maximum allowable fluctuating stress for the material. The wiper springs were concluded to be fractured in fatigue and the cyclic loading resulted from cam rotation. The maximum applied stress approached the allowable limit due to high stress-concentration factor...
Abstract
Grease-wiper springs for cams formed from stampings of 0.25-mm thick carbon spring steel (0.65 to 0.80% C) fractured at the 0.025 mm radius on the stamped 135 deg corner at a 90 deg bend after 5,000,000 cycles. Tool marks 2 to 2.3 mm from the center of the stamped bend were disclosed by visual examination. Fatigue striations originating from cracks at the 0.025 mm radius inside corner at the bend were revealed by SEM of the fractured surface. The maximum stress at the bend, in stock of maximum thickness and as a function of the radius of the 135 deg corner, was indicated by stress calculations to be very close to the maximum allowable fluctuating stress for the material. The wiper springs were concluded to be fractured in fatigue and the cyclic loading resulted from cam rotation. The maximum applied stress approached the allowable limit due to high stress-concentration factor in the spring (caused by the very small inside radius). The corner radius was increased to 0.76 mm and the tools were re-polished to avoid tool marks.
Series: ASM Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001309
EISBN: 978-1-62708-215-0
... design between vertical and horizontal tubes. Stresses observed in the ANSYS analysis were not sufficient to cause the onset of fatigue. However when compounded by stress concentration factors and in-service dynamic loading, the frame could have been regularly subjected to stresses over the fatigue limit...
Abstract
Bending fatigue caused crack propagation and catastrophic failures at several locations near the welds on the low-carbon steel tubular cargo box frame of police three-wheel motorcycles. ANSYS finite element analysis revealed that bending stresses in some of the frame members were aggravated by poor detail design between vertical and horizontal tubes. Stresses observed in the ANSYS analysis were not sufficient to cause the onset of fatigue. However when compounded by stress concentration factors and in-service dynamic loading, the frame could have been regularly subjected to stresses over the fatigue limit of the material. A strain gage static loading test verified FEM results, and finite element techniques were applied in the design of reinforcing members to renovate the frames. Material properties were determined and welding procedures specified for the reinforcing members. Inspection intervals were devised to avoid future problems.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c0046142
EISBN: 978-1-62708-217-4
... as a result of excessive vibration of the fuel control on the test engine. Recommendations included redesign of the lever with a large radius in the corner where cracking originated. This would reduce the stress-concentration factor significantly, thus minimizing the susceptibility of the lever to fatigue...
Abstract
To ensure no malfunctions and although there were no apparent problems, a main fuel control was returned to the factory for examination after service on a test aircraft engine that had experienced high vibrations. When the fuel control was disassembled, a lever, cast from AMS 5350 (AISI type 410) stainless steel that was through-hardened to 26 to 32 HRC and passivated, was shown to be cracked. The crack initiated at the sharp corner of the elongated milled slot and propagated across to the outer wall. The sections around the crack were spread about 30 deg apart, showing the fracture surface under investigation had beach marks initiating at the sharp corner along the milled slot. Changes in frequency or amplitude of vibration caused different rates of propagation, resulting in a change in pattern. This evidence supported the conclusion that the lever failed in fatigue as a result of excessive vibration of the fuel control on the test engine. Recommendations included redesign of the lever with a large radius in the corner where cracking originated. This would reduce the stress-concentration factor significantly, thus minimizing the susceptibility of the lever to fatigue.
Series: ASM Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001130
EISBN: 978-1-62708-214-3
..., and spectrographic chemical analysis. The test results showed that the steel used did not meet the manufacturer's specifications for ductility (elongation). In addition, the small-diameter punched holes caused a stress concentration factor that aggravated the brittleness of the steel. Selected References...
Abstract
The failure during use of a seat on a heavy-duty swing set at an elementary school was investigated. The seat contained a perforated reinforcing sheet metal (galvanized type 430 stainless steel) insert covered by an elastomeric material. Specimens of the reinforcing sheet from the failed seat were examined using SEM fractography, tensile and ductility tests, and spectrographic chemical analysis. The test results showed that the steel used did not meet the manufacturer's specifications for ductility (elongation). In addition, the small-diameter punched holes caused a stress concentration factor that aggravated the brittleness of the steel.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.process.c9001416
EISBN: 978-1-62708-235-8
... strength of 20 t.p.s.i., a stress concentration factor of only: 44.800 37.680 = 1.2 would result in a stress of yield point magnitude being applied at the location where the fatigue crack originated in service. It would be expected that the actual stress concentration factor would exceed...
Abstract
Hydraulic cylinders on three identical presses failed in a similar manner after approximately ten years' service life. The cylinder was a steel casting having a carbon content of the order of 0.3 to 0.4%. During machining of the internal surfaces, a sharp corner had been left at the junction of the head with the shell. From this stress raiser a fatigue crack had developed around the entire circumference of the cylinder to give a smooth crack of annular form. The use of a flat end to the cylinder, therefore, resulted in excessive stresses being introduced at the junction of the end with the cylinder.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.auto.c0001784
EISBN: 978-1-62708-218-1
... and (Eq 4) h r = 4.75 3.18 = 1.5 The stress concentration factor for these values, or r/d and h/r , is K f = 1.52, from Fig. 2 . Therefore, the calculated mean stress would be 1.52 × 262 MPa = 400 MPa (or 1.52 × 38 ksi = 58 ksi). This stress is well below the yield strength...
Abstract
Field fatigue failures occurred in a hand-operated gear shift lever mechanism made of 1049 medium carbon steel hardened to 269 to 285 HB. The failures occurred in the 3.18 mm (0.127 in.) radius. Redesign increased the shift lever's diameter to 25 mm (1 in.) and the radius to 4.75 mm (0.187 in.). Also, instead of the as-forged surface, it was expedient to machine the radius. The as-forged surface at 360 MPa (52 ksi) maximum working stress would not ensure satisfactory life because the recalculated maximum stress was 390 MPa (57 ksi). However, the machined surface with a maximum working stress of 475 MPa (69 ksi) gives a safe margin above the 390 MPa (57 ksi) requirement for design stress. Interpreting these values, the forged surface should have a life expectancy of 1,000,000 cycles of stress. However, because the load cycle was somewhat uncertain, the machined radius was chosen to obtain a greater margin of safety. Redesigning eliminated the failures.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001786
EISBN: 978-1-62708-241-9
.... , A new model for hydrogen-assisted cracking (hydrogen “embrittlement”) . Metall. Trans. 3 , 437–451 ( 1972 ) 10.1007/BF02642048 7. Pilkey W.D. , Peterson’s Stress Concentration Factors , 2nd edn. ( Wiley , New York , 1997 ) 10.1002/9780470172674 8. Talukdar P. , Sen...
Abstract
A heavy duty facing lathe failed when the tool post caught one of the jaws on the rotating chuck, causing the spline shaft that drives the main spindle to fracture. A detailed analysis of the fracture surfaces (including fractography, metallography, and analytical stress calculations) revealed areas of damage due to rubbing with evidence of cleavage fracture on the unaffected surfaces. The results of stress analysis indicated that repeated reversals of the spindle produced stresses exceeding the fatigue limit of the shaft material. These stresses led to the formation of microcracks in a retaining ring groove that were accelerated to sudden failure when the tool post and chuck collided.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003516
EISBN: 978-1-62708-180-1
... safety factor. Fig. 3 Variable-amplitude loading data. Source: Ref 6 Stress Concentration and Fatigue Notch Factor High-stress regions in a structural component are typically located around geometric details, such as a hole, fillet radius, or notch. These local high-stress regions...
Abstract
This article discusses the fundamental variables involved in fatigue-life assessment, which describe the effects and interaction of material behavior, geometry, and stress history on the life of a component. It compares the safe-life approach with the damage-tolerance approach, which employs the stress-life method of fatigue life assessment. The article examines the behavior of three different metallic materials used in the design and manufacture of structural components: steel, aluminum, and titanium. It also reviews the effects of retardation and spectrum load on component life. The article concludes with case studies of fatigue life assessment from the aerospace industry.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.rail.c9001138
EISBN: 978-1-62708-231-0
... to the internal thread structure of the clevis. As a result of these deleterious effects, the failure of the thread structure of the clevis occurred. The cylinder rod/screw thread interface, because of its small fillet radius, has a high stress concentration factor. As the threads wear away, the clamping...
Abstract
A hi-rail device is a vehicle designed to travel both on roads and on rails. In this case, a truck was modified to accept the wheels for rail locomotion. The rear wheel/axle set was attached to the truck frame. Both the front and rear wheel/axle sets were raised by means of a hydraulic cylinder driven off the PTO of the truck. The wheel/axle set was rigidly fixed into an up or down position by the use of locking pins. It was assumed by the manufacturer that there would be no load on the cylinder once the wheel/axle set was in its locked position. However, as the cylinder pivoted about its mounting trunnion and extended during its motion, it interfered with a frame member. This caused both a bending load and a rotational movement. These effects caused a combination of fretting, galling, and fatigue to the internal thread structure of the clevis. As a result of these deleterious effects, failure of the thread structure of the clevis occurred. The failure occurred where the cylinder rod screws into the clevis. The rod was manufactured from 1045 steel.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.9781627081801
EISBN: 978-1-62708-180-1
Series: ASM Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001288
EISBN: 978-1-62708-215-0
... the stress-concentration factor, as follows: (Eq 4) K I = 0.46 P l B h 3 / 2 Substituting the values l = 0.12 m (0.4 ft), B = 0.82 m (2.7 ft), h = 0. 17 m (0.6 ft), and P = 530 tons (5.2 MN) into Eq 4 , K I = 5 MPa m (4.5 ksi...
Abstract
The side supporting flange of the bottom platen of an 800 ton hydraulic press fractured after 9 x 10's cycles under a maximum load of 530 tons. The platen material specified in the design was cast steel 52. Metallographic examination of the fracture surface indicated that the platen had failed in fatigue as a result of a high stress concentration in a sharp 0.6 mm (0.02 in.) radius fillet. Stress analysis and fracture mechanics predictions revealed that there was also danger of fatigue failure for platens with the design radius of 10 mm (0. 4 in.) if the press operates at 800 tons. It was recommended that the remaining life of similar presses be assessed periodically controlling the cracks, their dimensions, and their propagation rates. An increase in the radius of the fillet was also recommended.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.bldgs.c9001576
EISBN: 978-1-62708-219-8
... The problem was solved by: enlarging the corner radius of blade, and improving stress concentration factor from 4.9 to 2.5, removing burrs of blades by barrel grind finishing, strengthening the low stiffness plate of the casing, inserting rubber plates under the casing, and cutting off the high...
Abstract
Macrofractographs of the fracture surface from a multibladed fan showed that cracks started at the corner where bending stress was concentrated and propagated through the blade by fatigue. Peak stress at the monitoring position was less than 10 MPa. To simulate crack growth, the rotor was repeatedly deformed by a hydraulic fatigue tester. Comparison of striations of the failed blade with that of the tested one revealed the failed blade was loaded with more than 30 MPa of stress. These tests confirmed that the rotor and blades had sufficient strength to withstand up to 3x the stress of normal operation. The casing of the fan was vibrated at 10 to 60 Hz. Peak stress easily overcame 30 MPa, which was enough to initiate cracking. The fracture surfaces and starting position were the same as those on the failed fan. It was concluded that the exciting force from an air compressor caused blade failure.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0006548
EISBN: 978-1-62708-180-1
... to fracture toughness kt stress-concentration factor Kth threshold stress-intensity factor KE kinetic energy kg kilogram kgf kilogram force kPa kilopascal ksi kips (1000 lb) per square inch kW kilowatt ln natural logarithm (base e) lb pound lbf pound force log common logarithm (base 10) L length L liter L...
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
... stress, the presence of a mean stress, temperature, environment, component size and shape, the presence of residual stresses, stress concentration, surface condition, anisotropy, and material imperfections or discontinuities. These factors complicate laboratory simulation of actual application conditions...
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 Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001030
EISBN: 978-1-62708-214-3
... of specifying interference-fit fasteners as a structural enhancement in this case was to increase fatigue life by reducing the stress-concentration factors associated with fastener holes. The choice of titanium alloy fasteners was driven by availability rather than material compatibility. The fasteners used had...
Abstract
Cracks were discovered between interference-fit fasteners (MoS2-coated Ti-6Al-4V) that had been incorporated into a fighter aircraft primary structural frame (D6ac steel) to enhance structural fatigue life. Examination of sections cut from the cracked frame established that the cracks propagated by stress-corrosion cracking. The cause of cracking was twofold: use of interference-fit fasteners exposed to moisture intrusion from a marine environment and poor hole quality. Failure was intensified by dissimilar-metal contact in the presence of weak acidic electrolyte (dissociated MoS2). Control of machining parameters to prevent formation of brittle martensite, use of galvanically compatible fasteners, and use of an alternate lubricant were recommended.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.power.c0090114
EISBN: 978-1-62708-229-7
... to the cooling holes, which led to relatively high thermal stresses at the holes located at the thicker sections of the airfoil, and stress concentration of 2.5 at the cooling hole and the presence of relatively high total strain (an inelastic strain of 1.2%) at the cooling hole surface. Recommendations include...
Abstract
The first-stage blades in a model 501D5 gas turbine had 16 cooling holes. After 32,000 h of service, the blades exhibited cracking at the cooling holes. The blade material was wrought Udimet 520 alloy, with nominal composition of 57Ni-19Cr-12Co-6Mo-1W-2Al-3Ti-0.05C-0.005B. The cooling holes' surface was not coated. Investigation supported the conclusions that the cracking at the cooling holes was due to grain-boundary oxidation and nitridation at the cooling hole surface, embrittlement and loss of local ductility of the base alloy, temperature gradient from the airfoil surface to the cooling holes, which led to relatively high thermal stresses at the holes located at the thicker sections of the airfoil, and stress concentration of 2.5 at the cooling hole and the presence of relatively high total strain (an inelastic strain of 1.2%) at the cooling hole surface. Recommendations include applying the specially designed methods given in this case study to estimate the metal temperature and stresses in order to predict the life of turbine blades under similar operating conditions.
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
... anticipated during design? Was there some deficiency or discontinuity that contributed to the failure, or was there a local stress raiser at the critical location? Was this taken into account by the designer? Of course, the root causes of unacceptable stress concentrators are varied. They may occur from...
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 Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.modes.c9001459
EISBN: 978-1-62708-234-1
... of changes of form that gave rise to stress concentrations. The “fatigue” aspect of design became of increasing importance with the arrival of the high speed steam and, later, the internal combustion engine because of the need to reduce the scantlings in order to minimise both inertia effects and total...
Abstract
Fundamentals of fatigue failure are outlined. Addressed are fatigue crack characteristics, basic crack types, unidirectional bending, alternate bending, rotary bending, torsion, direct stress, and combined stress. Stress cycle, endurance limits, under and overstressing, stress concentration, and surface condition are discussed. Sections are devoted to fatigue crack assessment, corrosion relation to fatigue failure, and the micro-mechanisms of fatigue failure. Materials considered include steels. Photographs of service failures are used to illustrate features alluded to in the text.
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
..., or was there a local stress raiser at the critical location? Was this taken into account by the designer? Of course, the root causes of unacceptable stress concentrators are varied. They may occur from design (e.g., changes in section), manufacturing (e.g., surface condition deleterious inclusions...
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.
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