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Poisson distribution

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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...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001845
EISBN: 978-1-62708-241-9
... such as density, modulus of elasticity, and Poisson ratio ( Table 1 ) were required for the simulation. Figure 6c displays the pretension sections which were used to control and monitor the total tension load. Constraints were applied to prevent rigid-body motion. Manufacturing-induced residual stresses were...
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
... bearing length (6, 8, and 10 mm) and fillet/lead radius (1, 2, and 3 mm), using input flow curves at 420 °C and average strain rate of 1 s –1 . In addition to flow curves, modulus of elasticity and Poisson’s ratio is also taken at corresponding process temperature. Simulation results and estimated die...
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
...) and are applied parallel to the x - y plane. Appropriate end conditions are u z = 0, τ xz = 0, and τ yz = 0. Suppose that a linearly elastic material has Poisson’s ratio, ν, of 0.5, and that σ x = σ y . Then by Hooke’s law σ z = σ y = σ x , that is: ε z = 0 = 1 E...
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
...-surface (parallel to the z -axis) boundary conditions are uniform (hence independent of z ) along the length ( z -axis) and are applied parallel to the x - y plane. Appropriate end conditions are u z = 0, τ xz = 0 and τ yz = 0. Suppose that a linearly elastic material has Poisson's...
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
... and v 2 are the Poisson’s ratios of the materials of the rolls, respectively; a is contact width; and p ( x ) is the contact stress at the contact area. The term p 0 is the maximum value of p ( x ). Fig. 1 Hertz contact problem of two cylinders under plane strain...
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
... acting on the rope was calculated to be 650 kN. The modulus of elasticity, the Poisson’s ratio, and the density of the wire material were taken as 200 GPa, 0.3, and 7800 kg/m 3 , respectively. The tensile strength of the rope, which was a type of EEIPS, was considered as 2160 N/mm 2 . The coefficient...
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
... 3 Module of elasticity 170 GPa Poisson’s ratio 0.31 Thermal expansion 14 E-6/°C Thermal conductivity 90.7 J/m °C Thermal capacity 444 J/kg °C The displacement boundary conditions were two types. First, the common practice of bolting the mould to a steel frame carrier...
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
... . On the other hand, a relationship exists between J i and fracture toughness, K Ic : (Eq 2) K Ic = J i E 1 − ν 2 where ν is Poisson's ratio. After calculation, the value for bell “V1” results in 47 MN/ m 3 , and the value for bell “V2” results in 42 MN/ m...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001763
EISBN: 978-1-62708-241-9
.... The shaft was manufactured from medium carbon steel grade SAE/AISI 1045 with elastic modulus of 200 GPa, density of 7800 kg/m 3 , and Poisson’s ratio of 0.3. Typical mechanical properties are given approximately as 585 MPa for yield strength, 655 MPa for ultimate strength, and 328 MPa for fatigue strength...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003514
EISBN: 978-1-62708-180-1
... be assumed with regard to its distribution Rayleigh Rayleigh Special case of Weibull (shape parameter = 2) Applications: distribution of peaks in a random vibration that is narrow band, stationary, and Gaussian Poisson Poisson Discrete random variable One parameter Bounded...
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
...) V 1 = 1.46 + 3.42 ( 1 − cos π a / 2 b ) ( cos π a / 2 b ) 2 h 2 is obtained from the elastic-plastic fracture handbook ( Ref 20 ), ν is Poisson's ratio, and the other parameters are as defined before. Substituting Δσ from the uncracked stress analysis and using...
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
... 14) g t = 4 F c πb 1 − v 1 2 E 1 + 1 − v 2 2 E 2 / 1 R 1 + 1 R 2 t where v 1 and v 2 are, respectively, the Poisson’s ratios of the materials for cylinders 1 and 2; E 1 and E 2 are, respectively, Young’s...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006781
EISBN: 978-1-62708-295-2
... 1.455 η ) n where (Eq 37) V 1 = 1.46         + 3.42 ( 1 − cos ( π a 2 b ) ) ( cos ( π a 2 b ) ) 2 where h 2 is obtained from the elastic-plastic fracture handbook ( Ref 33 ), ν is Poisson’s ratio, and the other...
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
... 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...
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
... near the surface. For a frictionless, dry contact, the value of T max can be approximated using the relation: (Eq 6) T max = ( 1 − 2 ν ) P o / 3 where ν is the Poisson's ratio. Rolling Bearing Life Life prediction of a roller or ball bearing is based...
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
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006829
EISBN: 978-1-62708-295-2