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Young's modulus
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Published: 01 January 2002
; and N, normal. HS CF and HM CF, (high-strength and high-modulus carbon fibers); ε f , fracture strain; and E , Young's modulus. 1, abrasive of larger size; 2, nonabrasive filler/solid lubricant/abrasive filler in nanometer size/long fibers or fabric; 3, short fibers. Source: Ref 2
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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.c9001783
EISBN: 978-1-62708-241-9
... , 4 ] Properties D2 tool steel A2 tool steel Young’s modulus 210,000 MPa (30,450 ksi) 190,000 MPa (27,600 ksi) Poisson’s ratio 0.27–0.30 0.27–0.30 Density 0.2830 lb/in 3 0.2790 lb/in 3 Hardness 43-63 HRC 50 HRC Compressive yield strength 1,650 MPa (239,000 psi...
Abstract
An aluminum bronze bushing that serves as a guide in a crimping machine began to fail after 50,000 cycles or approximately two weeks of operation. Until then, typical run times had been on the order of months. Although the bushings are replaceable and relatively inexpensive, the cost of downtime adds up quickly while operators troubleshoot and swap out worn components. Initially, the quality of the bushings came into question, but after a detailed analysis of the entire crimping mechanism, several other issues emerged that were not previously considered. As a result, the investigation provides information on not only better materials, but also design changes intended to reduce wear and increase service life.
Series: ASM Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001114
EISBN: 978-1-62708-214-3
... is the Young's modulus (20 × 10 5 kPa, or 30 × 10 6 psi). The value of K Ic obtained using the above relationship is approximately 37 MPa m (34 ksi in. ). This conservative estimate of K Ic is reasonable for this type of material. To estimate the stress at the time of failure...
Abstract
An API type 2 steel clamp located on the riser of a semisubmersible drilling rig between the lower ball joint and riser blowout preventer (BOP) conductor failed after 7 years of service. Failure analysis revealed the cause of failure to be the low toughness of the clamp material. Contributing factors included the presence of a hard, brittle, heat-affected zone and weld defects at the handling pad eye. It was recommended that the replacement clamp be made from a material with good toughness and that any installation of attachments by welding be done according to qualified procedures.
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.c9001388
EISBN: 978-1-62708-215-0
... relationship ( Ref 2 ): (Eq 1) S = 9.4 ( 1 − ν 2 ) ( Δ K / E ) 2 where S is striation spacing, and ν is Poisson's ratio Δ K is stress-intensity factor range, and E is Young's modulus. The stress amplitude applied to the bolts was estimated using Eq 1 and 2...
Abstract
JIS SCM435 steel bolts that connected the slewing ring to the base carrier on a truck crane failed during the lifting of steel piles. The bolts were double-ended stud types and had been in operation for 5600 h. Failure occurred in the root of the external thread that was in contact with the first internal thread in the slewing ring. Examination of plastic carbon replicas indicated that failure was the result of fatigue action. Failure was attributed to overloading during service and increased stress concentration on a few bolts due to nonuniform separations around the slewing ring. A design change to achieve equal separation between bolt holes was recommended.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001835
EISBN: 978-1-62708-241-9
... 14.8% 12.56% ≥9% Shrinkage 62.57% 60.07% ≥48% Young’s modulus, GPa 206.5 211.5 ≥205 Hardness Test Based on GB/T 230.1-2009, the hardness tests of both failure and standard bolts material are carried out with the 500MRA sclerometer. The hardness test results are given in Table...
Abstract
Wind turbine blades are secured by a number of high-strength bolts. The failure of one such bolt, which caused a turbine blade to detach, was investigated to determine why it fractured. Based on the results of a detailed analysis, consisting of stress calculations, chemical composition testing, metallurgical examination, mechanical property testing, and fractographic analysis, it was determined that the bolt failed by fatigue accelerated by stress concentration at low temperatures. The investigation also provided suggestions for avoiding similar failures.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c9001605
EISBN: 978-1-62708-217-4
... is the fracture resistance at crack initiation, E is Young's modulus, and d * is the proportionality constant. By inserting the average SZW values into this equation, bell “V1” shows a J i value of 28 N mm/mm 2 , and bell “V2” shows a J i value of 23 N mm/mm 2 . On the other hand, a relationship exists...
Abstract
After a quick-release fitting of an ejection seat broke, an investigation was performed to determine the manner and cause of crack propagation. Most fractography-based investigations aim to characterize only qualitative characteristics, such as the fracture orientation and origin position, topology, and details of interactions with microstructural features. The aim of this investigation was to use quantitative fractography as a tool to extract information, including striation spacing and size of the stretched zone, in order to make a direct correlation with fracture mechanic concepts. As the crack propagated, striations were created on the fracture surface as a result of service-induced load changes. The size of the striations were measured to estimate crack propagation rate. Remaining lifetime estimates were also made. The dimensions of plastically stretched zones found at the tips of the cracks were evaluated using electron micrograph stereo image pairs to characterize local fracture toughness. To complete the failure analysis, nondestructive evaluation, metallographic examination, and chemical investigations were carried out. No secondary cracks could be found. Most of the broken parts showed that the microstructure, the hardness, and the chemical composition of the Al-alloy were within the specification, but some of the cracked parts were manufactured using a different material than that specified.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001788
EISBN: 978-1-62708-241-9
... temperature-dependent Young’s modulus values are use as inputs. These are taken from Engineeringtoolbox [ 12 ] and Wang [ 13 ] for Al-6063 and H13 steel, respectively. Material Temperature, °C 300 420 540 H13 200 GPa 162 GPa 145 GPa Al-6063 60 GPa 52 GPa 48 GPa Fig. 5 Flow...
Abstract
Several failed dies were analyzed and the results were used to evaluate fatigue damage models that have been developed to predict die life and aid in design and process optimization. The dies used in the investigation were made of H13 steels and fractured during the hot extrusion of Al-6063 billet material. They were examined to identify critical fatigue failure locations, determine corresponding stresses and strains, and uncover correlations with process parameters, design features, and life cycle data. The fatigue damage models are based on Morrow’s stress and strain-life models for flat extrusion die and account for bearing length, fillet radius, temperature, and strain rate. They were shown to provide useful information for the analysis and prevention of die failures.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001790
EISBN: 978-1-62708-241-9
... intensity can be made directly, using the relationship of Bates and Clark: [ 3 – 5 ] (Eq 1) Δ K ss = E δ ss 6 where E is Young’s modulus, and δ ss is the striation spacing. For the case of 4340 steel in the quenched and tempered condition, substantial fatigue crack growth data...
Abstract
The failure of a high-speed pinion shaft from a marine diesel engine was investigated. The shaft, which had been in service for more than 30 years, failed shortly after the bearings were replaced. Examination of the shaft revealed cyclic fatigue, with a substantial distribution of nonmetallic inclusions near the fracture initiation site. Fracture mechanics analysis indicated that, if stresses acting on the shaft were induced only by normal service loads, there was little likelihood that the inclusions served as failure initiation sites. Further examination of the bearing elements revealed an abnormal wear pattern, consistent with the application of elevated bending loads. The root cause of failure was determined to be an increase in service stresses after bearing replacement along with the presence of nonmetallic inclusions in the shaft.
Book Chapter
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006797
EISBN: 978-1-62708-295-2
... application of load; fracture strength is the average true stress at fracture caused by a relatively slow, continuously increasing application of load. The flow strength and fracture strength of a material are temperature dependent, as is the elastic modulus (Young’s modulus, bulk modulus, or shear modulus...
Abstract
Distortion often is observed in the analysis of other types of failures, and consideration of the distortion can be an important part of the analysis. This article first considers that true distortion occurs when it was unexpected and in which the distortion is associated with a functional failure. Then, a more general consideration of distortion in failure analysis is introduced. Several common aspects of failure by distortion are discussed and suitable examples of distortion failures are presented for illustration. The article provides information on methods to compute load limits, errors in the specification of the material, and faulty process and their corrective measures to meet specifications. It discusses the general process of material failure analysis and special types of distortion and deformation failure.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003573
EISBN: 978-1-62708-180-1
... of load; fracture strength is the average true stress at fracture caused by a relatively slow, continuously increasing application of load. The flow strength and fracture strength of a material are temperature dependent, as is the elastic modulus (Young's modulus, bulk modulus, or shear modulus...
Abstract
Distortion failure occurs when a structure or component is deformed so that it can no longer support the load it was intended to carry. Every structure has a load limit beyond which it is considered unsafe or unreliable. Estimation of load limits is an important aspect of design and is commonly computed by classical design or limit analysis. This article discusses the common aspects of failure by distortion with suitable examples. Analysis of a distortion failure often must be thorough and rigorous to determine the root cause of failure and to specify proper corrective action. The article summarizes the general process of distortion failure analysis. It also discusses three types of distortion failures that provide useful insights into the problems of analyzing unusual mechanisms of distortion. These include elastic distortion, ratcheting, and inelastic cyclic buckling.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003572
EISBN: 978-1-62708-180-1
... with respect to sliding direction: AP, antiparallel; P, parallel; and N, normal. HS CF and HM CF, (high-strength and high-modulus carbon fibers); ε f , fracture strain; and E , Young's modulus. 1, abrasive of larger size; 2, nonabrasive filler/solid lubricant/abrasive filler in nanometer size/long fibers...
Abstract
This article reviews the abrasive and adhesive wear failure of several types of reinforced polymers, including particulate-reinforced polymers, short-fiber reinforced polymers (SFRP), continuous unidirectional fiber reinforced polymers (FRP), particulate-filled composites, mixed composites (SFRP and particulate-filled), unidirectional FRP composites, and fabric reinforced composites. Friction and wear performance of the composites, correlation of performance with various materials properties, and studies on wear-of failure mechanisms by scanning electron microscopy are discussed for each of these types.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003513
EISBN: 978-1-62708-180-1
... component of total J -integral J , is: (Eq 5) J e = K I 2 E ⋅ ( 1 − ν 2 ) where E is Young's modulus and ν is Poisson's ratio. The current version of the R6 FAD ( Ref 3 , 12 , 13 ) expresses K r as a ratio of the linear elastic stress-intensity factor...
Abstract
Optimized modeling of fracture-critical structural components and connections requires the application of elastic-plastic fracture mechanics. Such applications, however, can require sophisticated analytical techniques such as crack tip opening displacement (CTOD), failure assessment diagram (FAD), and deformation plasticity failure assessment diagram (DPFAD). This article presents the origin and description of FAD and addresses R6 FAD using J-integral. It details the fracture criteria of BS 7910. The factors to be considered during the use of FAD and the applications of FAD are also reviewed.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.power.c9001515
EISBN: 978-1-62708-229-7
... can be estimated by: (Eq 4) K I = { v E ( 2 π ) 1 2 } / { 4 ( 1 − ν 2 ) R 1 2 } where 2v is the displacement of the crack at a distance R from the crack tip, ν is Poisson's ratio, and E is the Young's modulus of elasticity...
Abstract
This paper describes the analysis of the failure of a Zr-2.5Nb pressure tube in a CANDU reactor. The failure sequence was established as: (1) the existence of an undetected manufacturing flaw in the form of a lamination, (2) in-service development of the flaw by oxidation of the lamination, (3) delayed hydride cracking, which extended the flaw through the wall of the tube, resulting in leakage, and (4) rupture of the tube by cold pressurization while the reactor was shut down. The comprehensive failure analysis led to a remedial action plan that permitted the reactor to be returned to full-power operation and ensured a low probability of a similar occurrence for all CANDU reactors.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c9001707
EISBN: 978-1-62708-217-4
..., collimator 2 mm in diameter. As the X-ray elastic constant E/(1 + ν), where E is Young's modulus and ν is Poisson's ratio, was not available for the PH 13-8 Mo material, the value of E/(1 + ν) = 26100 ksi (180000 MPa) for the similar 17-4 PH material was selected ( Ref. 5 ). The circumferential stress...
Abstract
The failures of two aircraft components, one from a landing gear and the other from an ejector rack mechanism, were investigated. Both were made from PH 13-8 Mo (UNS S13800) precipitation-hardening stainless steel which had been heat treated to the H1000 and H950 tempers respectively and then chromium plated. The parts were characterized metallographically and mechanically and were found to be compliant. Detailed fractographic examination revealed that the first stage of both failures was similar: subsurface initiation of numerous cracks with a wide range of orientations and cleavage like features. The cracking was followed by fatigue in one case and catastrophic failure in the other. Hydrogen embrittlement was identified as the most likely mechanism of failure.
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003546
EISBN: 978-1-62708-180-1
... in the cycle, E is Young's modulus, σ c is the oxide cohesive strength, a 0 is the atomic spacing, and L is the grain size of the alloy. Equation 6 represents a plasticity-based Griffith equation. It is interesting to note that the model described previously is more likely to apply to coarse...
Abstract
Thermomechanical fatigue (TMF) refers to the process of fatigue damage under simultaneous changes in temperature and mechanical strain. This article reviews the process of TMF with a practical example of life assessment. It describes TMF damages caused due to two possible types of loading: in-phase and out-of-phase cycling. The article illustrates the ways in which damage can interact at high and low temperatures and the development of microstructurally based models in parametric form. It presents a case study of the prediction of residual life in a turbine casing of a ship through stress analysis and fracture mechanics analyses of the casing.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001851
EISBN: 978-1-62708-241-9
... E is the Young’s modulus of the shaft. Disc Modeling Figure 5 shows the spinning flexible disk with a constant angular speed, Ω. This disk undergoes an infinitesimal rigid body motion as well as an elastic deformation. The local reference frame, R 2 ( x 2 y 2 z 2 ), is located...
Abstract
Shaft misalignment and rotor unbalance contribute to the premature failure of many machine components. To understand how these failures occur and quantify the effects, investigators developed a model of a rotating assembly, including a motor, flexible coupling, driveshaft, and bearings. Equations of motion accounting for misalignment and unbalance were then derived using finite elements. A spectral method for resolving these equations was also developed, making it possible to obtain and analyze dynamic system response and identify misalignment and unbalance conditions.
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006761
EISBN: 978-1-62708-295-2
..., but are not limited to: Elastic deformation properties, that is, the modulus of elasticity (Young’s modulus) and Poisson’s ratio (in some instances). Proportional limit Yield strength and ultimate tensile strength Ductility properties, such as elongation and reduction in area Strain-hardening...
Abstract
Mechanical testing is an evaluative tool used by the failure analyst to collect data regarding the macro- and micromechanical properties of the materials being examined. This article provides information on a few important considerations regarding mechanical testing that the failure analyst must keep in mind. These considerations include the test location and orientation, the use of raw material certifications, the certifications potentially not representing the hardware, and the determination of valid test results. The article introduces the concepts of various mechanical testing techniques and discusses the advantages and limitations of each technique when used in failure analysis. The focus is on various types of static load testing, hardness testing, and impact testing. The testing types covered include uniaxial tension testing, uniaxial compression testing, bend testing, hardness testing, macroindentation hardness, microindentation hardness, and the impact toughness test.
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
... failure of thicker coatings can be understood by comparing the Young's modulus of the coating to that of the substrate material. It is postulated that as the difference in Young's modulus increases, thicker coatings resist following the elastically deformed profile of the substrate (under the contact...
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.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001797
EISBN: 978-1-62708-241-9
... c cos 2 φ ∫ 0 R b + h ∫ EI L ξ E ′ I ξ d ξ + 1 s h GA + tan 2 φ A E ′ d x where G = E 2 1 − v is the shear modulus, E ′ = E 1 − v 1 + v 1 − 2 v , and I the quadratic...
Abstract
Cam crack failures are a common occurrence in cam-follower systems often caused by excessive loading or inappropriate operating conditions. An investigation into such a failure was conducted to assess the effect of cam crack damage on the dynamic behavior of cam-follower systems. It was shown both theoretically and experimentally that a cracked cam causes an overall reduction in stiffness. To further probe the effect, investigators derived an analytical formula expressing the time varying stiffness of a cam-follower system. They also succeeded in quantifying the relationship between crack size and stiffness, showing that cracks have an amplitude modulating effect.