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Poisson's ratio

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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.c9001788
EISBN: 978-1-62708-241-9
..., 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 life cycles Table 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...
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
... 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) 1,350 MPa (196,000 psi) The repetitive...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001764
EISBN: 978-1-62708-241-9
... the material properties of generic steel, for which the elastic modulus is 193 GPa (28,000 ksi) and Poisson’s ratio is 0.29. The boundary conditions on the base of the female cylindrical section of the component were such that circumferential and axial displacement was fixed, while radial displacement...
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
... 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 3 . Because of the little difference...
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
... 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 of friction between wires...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006944
EISBN: 978-1-62708-395-9
... is reversible, and the material returns to its original shape if the stress is removed. The Young’s modulus is related to shear modulus (G) by: (Eq 2) G = E 2 ( 1 + ν ) where ν is Poisson’s ratio. Typical values for elastic parameters in Eq 2 for glassy polymers are E ≈ 3.0 GPa, G...
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...
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...
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
...Abbreviations and Symbols a crack length ac critical crack length at.% atomic percent A area; ratio of the alternating stress amplitude to the mean stress A cross-sectional area of weld A angstrom Accm in hypereutectoid steel, temperature at which cementite completes solution in austenite Ac1...
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: 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.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.chem.c9001570
EISBN: 978-1-62708-220-4
.... The seal welds are mainly for sealing up the gap between tubesheet and tubes. To ensure the holding strength of an expanded joint, a residual contact pressure of sufficient intensity between the tube and the tubesheet must be maintained. In practice, an expansion ratio is specified to reduce the tube...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006934
EISBN: 978-1-62708-395-9
... stress, E is the modulus of elasticity, and ν is the Poisson’s ratio. Van Melick et al. ( Ref 53 ) confirmed this concept through a combination of microindentation method and numerical modeling. By monitoring the local stress field, they found that a critical hydrostatic force of 40 MPa (6 ksi...
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
... 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 [ 10 , 11...
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
... σ 3 This describes a hydrostatic stress state, that is, the stress tensor, T , is defined as: T = [ σ h 0 0 0 σ h 0 0 0 σ h ] Even if Poisson's ratio is unequal to 0.5, a hydrostatic stress whose magnitude is: σ...
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.c9001797
EISBN: 978-1-62708-241-9
... 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 moduli of materials...