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shear modulus

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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 ) More
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 Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0006548
EISBN: 978-1-62708-180-1
... fiber reinforced polymer composite ft foot FTA fault-tree analysis FTIR Fourier transform infrared spectroscopy g gram G energy release rate; shear modulus GMAW gas metal arc welding GPa gigapascal GPC gel permeation chromatography GTAW gas tungsten arc weld h hour H Grossmann number hcp hexagonal close...
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...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c9001491
EISBN: 978-1-62708-217-4
... failure modes. The potential failure modes are as follows. Possible Causes of Failure Silica phenolic modulus of elasticity change due to cure pressure. Wrinkles and/or secondary shear lines. Moisture pickup by silica phenolic during hydroclave cure. Modification to the convergent...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001817
EISBN: 978-1-62708-241-9
...Type of failure of wire rope Table 1 Type of failure of wire rope Failure Core Strand 1 Strand 2 Strand 3 Strand 4 Strand 5 Strand 6 Total Tensile 49 12 8 12 11 14 11 117 Shear 0 24 28 24 25 22 25 148 Chemical composition of wire rope (wt.%) Table...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001840
EISBN: 978-1-62708-241-9
... for shifting the homogeneous strain toward plastic strain localization is dependant on inherent characteristics of materials, where higher value of static shear strength and work hardening modulus is accompanied by higher critical flow stress values for yielding plastic strain localization [ 12 ]. Also, ASBs...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001816
EISBN: 978-1-62708-241-9
... ( a ), dot mapping of titanium ( b ), and dot mapping of niobium ( b ) 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 ) Fig. 14...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001810
EISBN: 978-1-62708-241-9
... Calculation values of torsion stress The length of bar between clamp, L f , mm 692 Torsion diameter, d , mm 19 Max. torsion angle, φ (rad) 0.61 (From the weaving machine catalogue, 35°) Shear modulus, G , MPa 80000 Fatigue strength, τ tf , MPa 570 a (For repeated stress ratio...
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
...), ν is Poisson’s ratio, and G is the shear modulus (sometimes called modulus of rigidity). Equations 29 to 32 are the 3D forms of the stress-strain equations for materials that are homogeneous and isotropic. The analysis of the stress-strain relationships shows that there are only two...
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
... = τ y z G where E is the elastic modulus (often called Young's modulus), ν is Poisson's ratio, and G is the shear modulus (sometimes called modulus of rigidity). Equations 29 to 32 are the 3D forms of the stress-strain equations for materials that are homogeneous and isotropic...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001852
EISBN: 978-1-62708-241-9
... 98.39 Min 3.40 1.61 0.45 0.59 1.91 59.07 All results in wt.% Room and high temperature tensile results comparison Table 3 Room and high temperature tensile results comparison Yield stress, MPa Ultimate stress, MPa Elastic modulus, GPa Area reduction, % Engineering...
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
... Then, the effective section modulus W z can be written by (Eq 8) W z = π D 3 32 1 − D − 2 δ D 4 The maximum total tensile stress of the bolt can be given by (Eq 9) σ = σ a + σ b The shear stress of the bolt is given by (Eq 10) τ = F G...
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
... completely with beach marks, which are characteristic of fatigue cracking ( Fig. 3 ). The other fracture morphology of the bolts was terminal tensile fracture, as indicated by the characteristics of sudden shear overloading. Short fatigue cracks were found in most of the bolts that finally failed by shear...
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
... the slip plane. By using this model, it can be shown that a crack is nucleated when the shear stress concentrated by the pileup becomes equal to approximately 75% of the shear modulus. This requires between 100 and 1000 dislocations, a not unreasonable number in either bulk material or in second phases...
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
... concentrated by the pileup becomes equal to approximately 75% of the shear modulus. This requires between 100 and 1000 dislocations, a not unreasonable number in either bulk material or in second phases in a two-phase microstructure. Fig. 3 Dislocation models for cleavage fracture. (a) Elastic crack...
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...
Series: ASM Handbook
Volume: 11A
Publisher: ASM International
Published: 30 August 2021
DOI: 10.31399/asm.hb.v11A.a0006801
EISBN: 978-1-62708-329-4
... be found along the surface of wrinkles opening perpendicular to the forming axis. These are sometimes called compression cracks because the wrinkles are being compressed. This description is a misnomer because the surface of the wrinkles is in tension. Another type of crack has been termed shear...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.usage.c9001672
EISBN: 978-1-62708-236-5
... be determined except that each fracture originated and propagated from the crack defect. Some evidence of secondary cracks or crack branching was also observed ( Figure 3 ). Macroscopic examination of these fracture surfaces revealed a shear lip covering about 80% of the perimeter. Shear lips of this magnitude...
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
... 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 moment. The implementation of this expression can...