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power law creep

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Published: 01 January 2002
Fig. 9 Power-law dependence of creep crack growth with K in less ductile materials. Source: Ref 11 More
Image
Published: 15 January 2021
Fig. 10 Power-law dependence of creep crack growth with K in less ductile materials. Source: Ref 19 More
Book Chapter

By Sammy Tin
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005404
EISBN: 978-1-62708-196-2
... materials using expressions known as constitutive equations that relate the dependence of stress, temperature, and microstructure on deformation. The article reviews the characteristics of creep deformation and mechanisms of creep, such as power-law creep, low temperature creep, power-law breakdown...
Image
Published: 01 November 2010
Fig. 4 Stress distributions in a rectangular beam for various exponents ( n ) of the power-law creep model obtained using the reference stress method More
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003287
EISBN: 978-1-62708-176-4
... as that for lattice self-diffusion. This evidence supports the concept that power law creep is diffusion controlled. Diffusion is needed to enable dislocations to climb past obstacles to their continued glide. Thus, creep occurs by the sequential processes of dislocation glide and climb. As the climb step is slower...
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
... parametric method, one of the most common to describe the material deformation and rupture time, is also discussed. Burgers power-law model creep failure Findley power-law model Larson-Miller parametric method material deformation polymers rupture time service life stress relaxation time...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005506
EISBN: 978-1-62708-197-9
... = ∫ A σ y d A Finally, the third equation is the constitutive equation, which takes the form of a power-law creep model relating creep strain rate ( ε ˙ c ) to stress through: (Eq 4) ε ˙ c = B σ n where B and n are fitting parameters describing the creep...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003288
EISBN: 978-1-62708-176-4
... the activation energy for lattice self-diffusion and the activation energy for creep deformation. Power Law Model of Steady State Creep Rates In the intermediate temperature regime (0.4 T m < T < 0.6 T m ), the creep rate varies nonlinearly with stress, as either a power function...
Image
Published: 01 January 2000
Fig. 4 Creep data for several fcc metals plotted as a function of normalized shear stress (σ s / G ) compared with a power-law stress exponent of n = 4. Because the activation for creep ( Q in Eq 2 ) is the same as that for diffusion, the term exp (− Q / RT ) in Eq 2 is replaced here More
Image
Published: 01 January 2000
Fig. 5 Creep data for several bcc metals plotted as a function of normalized shear stress (σ s / G ) compared with a power-law stress exponent of n = 3. Source: Ref 5 with data largely from Ref 19 More
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005606
EISBN: 978-1-62708-174-0
.../0025-5416(88)90249-2 • Wallach E.R. , Solid-State Diffusion Bonding of Metals , Trans. JWRI , Vol 17.1 , 1988 , p 135 – 148 • Wilkinson D.S. and Ashby M.F. , Pressure Sintering by Power Law Creep , Acta Metall. , Vol 23 , 1975 , p 1277 – 1285 10.1016/0001-6160...
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001350
EISBN: 978-1-62708-173-3
... Power-law creep Fig. 5 Schematic of numerous paths of material transfer generated during diffusion bonding process. (a) Surface source mechanisms. (b) Interface source mechanisms. (c) Bulk deformation mechanisms. See text for specific mechanisms indicated by numbers shown in schematic...
Series: ASM Handbook
Volume: 8
Publisher: ASM International
Published: 01 January 2000
DOI: 10.31399/asm.hb.v08.a0003307
EISBN: 978-1-62708-176-4
... from the material power-law creep constants, A 2 and n , from Eq 3 . When under plane strain conditions, the equation for a compact-type (CT) specimen is given by: (Eq 5) C * = A 2 ( W − a ) n h 1 ( a W , n ) ( P 1.445 ζ B ) n + 1...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002389
EISBN: 978-1-62708-193-1
... C ∗ For times less than the calculated value of t T , stress redistribution in the crack-tip region cannot be ignored. Thus Eq 2 must be modified to include the elastic term in addition to the power-law creep term. Under these circumstances, C ∗ is path-dependent and it no longer...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004020
EISBN: 978-1-62708-185-6
... or (Eq 14) σ = A ′   ε ˙ m   exp ( m Q / R T ) σ = A ′ Z m which is consistent with both the Zener-Hollomon development, Eq 11 , and the power-law expression, Eq 1 . Because sinh( x )→ e x /2 for x »1, at low temperatures and high...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002472
EISBN: 978-1-62708-194-8
... to as beta creep and followed a time to the one-third law, the viscous region (later to be called steady-state creep) was proportional to time, and the accelerating strain region leading to fracture, which was not specifically treated by Andrade, later became known as tertiary creep. Much later...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005183
EISBN: 978-1-62708-186-3
... the Zener-Hollomon development, Eq 11 , and the power-law expression, Eq 1 . Because sinh( x )→ e x /2 for x ≫1, at low temperatures and high stresses, Eq 13 reduces to: (Eq 15) ε ˙ = C   exp ( α ′ σ − Q / R T ) but now strain hardening becomes important, so C...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005293
EISBN: 978-1-62708-187-0
... 247, René 125) 1185 2165 175 25 4 Mechanisms of Pore Closure during HIP There are four main mechanisms by which pores are eliminated during HIP: Plastic flow Power law creep Coble (grain-boundary) creep Nabarro-Herring (lattice) creep Given appropriate temperature...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005512
EISBN: 978-1-62708-197-9
... Power-law creep Given an initial geometry (i.e., wavelength and height of voids, based on measurement of the original surface roughness), rate equations for each of the seven mechanisms operating independently are summed to give an overall void shrinkage rate and hence to predict the small extent...