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Burgers power-law model

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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
.... Then, the widely used models to simulate the service life of polymers are highlighted. These include the Burgers power-law model, the Findley power-law model, the time-temperature superposition (or equivalence) principle (TTSP), and the time-stress superposition principle (TSSP). The Larson-Miller parametric...
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
... microstructure low temperature creep power-law breakdown diffusional creep twinning deformation mechanism maps power law creep creep-strengthening microstructural modeling FOR MANY ENGINEERING MATERIALS, deformation is highly sensitive to both temperature and strain rate. Under these conditions...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
... energies and atomic mobilities are established as functions of temperature, pressure, and composition and serve directly as key inputs of any microstructure modeling. The article presents examples of the integrated computation tool set in simulating microstructural evolution. Burgers orientation...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005412
EISBN: 978-1-62708-196-2
... is situated at the interfaces ( Ref 5 ). In microsystems technology, interfaces determine the service life and performance of devices ( Ref 6 ). Atomistic modeling is a powerful tool for understanding the structure of defects in a crystalline lattice. However, there is an infinite range of possible...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005418
EISBN: 978-1-62708-196-2
... a self-consistent model for the hot working of equiaxed α/β Ti-6Al-4V, focusing on the use of power law viscoplasticity where the strengths of each phase are composition dependent, based on the temperature dependence of the volume fractions and compositions from thermodynamic models and experimental...
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: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005403
EISBN: 978-1-62708-196-2
... ) or Stüwe and Hertel ( Ref 28 ), can be employed as well. In contrast to the power law, they lead to a steady-state flow stress at large strains. However, they are unable to model the flow softening usually associated with DRX. Effect of Grain-Boundary Migration on the Dislocation Density A first...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005169
EISBN: 978-1-62708-186-3
... material modeling length; linear distance; crystal CAD/CAM computer-aided design/ DMZ dead-metal zone A lattice length along the a axis DOE design of experiment A CAE computer-aided manufacturing DP design parameter A area; heat retention factor CAO computer-aided engineering DRCR dynamic...
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...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005433
EISBN: 978-1-62708-196-2
... are noted because the phenomenological equations are abundant in superplasticity literature. There are relations ranging from the standard power-law types, various polynomial models, mechanical models (such as generalized Maxwell and Bingham body problems; mechanical threshold models such as Zehr...
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002410
EISBN: 978-1-62708-193-1
... but also the fracture toughness of the material ( Ref 75 ): (Eq 5) d a d N = C   Δ K n [ ( 2 − R ) K Ic − Δ K ] where K Ic is the fracture toughness of the material. Finally, one of the most widely used and recognized models is the classic Paris law...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005413
EISBN: 978-1-62708-196-2
... Abstract This article focuses on the analyzing and modeling of stress-strain behavior of polycrystals of pure face-centered cubic (fcc) metals in the range of temperatures and strain rates where diffusion is not important. It presents a phenomenological description of stress-strain behavior...
Series: ASM Handbook
Volume: 9
Publisher: ASM International
Published: 01 December 2004
DOI: 10.31399/asm.hb.v09.a0003742
EISBN: 978-1-62708-177-1
... is revealed more clearly in Fig. 16 for different materials and monotonic deformation processes, in which a power-law relationship is found between the strain and the dislocation boundary area per unit volume ( S v ) of GNBs. The evolution of the misorientation angle, illustrated Fig. 17 , also yields...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005401
EISBN: 978-1-62708-196-2
... Abstract The modeling and simulation of texture evolution for titanium alloys is often tightly coupled to microstructure evolution. This article focuses on a number of problems for titanium alloys in which such coupling is critical in the development of quantitative models. It discusses...
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...
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004028
EISBN: 978-1-62708-185-6
... ) propose a rate-sensitive viscoplastic response that removes the ambiguity and facilitates the numerical implementation of slip in polycrystal models. The shear rate in a given system is given by a power of the resolved shear stress: (Eq 6) γ ˙ s = γ ˙ o | τ res τ s...
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
... with Eq 5 and explains the often-observed breakdown in the power-law strain-rate dependence at low temperatures and high strain rates. Isothermal Constitutive Model <xref rid="a0004020-ref12" ref-type="bibr">(Ref 12)</xref><xref rid="a0004020-fn3" ref-type="fn">[3]</xref> The temperature...
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005599
EISBN: 978-1-62708-174-0
... Abstract This article focuses on the general internal state variable method, and its simplification, for single-parameter models, in which the microstructure evolution may be treated as an isokinetic reaction. It explains that isokinetic microstructure models are applied to diffusional...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.9781627081962
EISBN: 978-1-62708-196-2
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005435
EISBN: 978-1-62708-196-2
... model for (a) linear elastic material and (b) nonlinear material at onset of martensite mechanical stability. Length scale in units of lattice dislocation Burgers vector, b. Source: Ref 27 A central concept of quantitative martensite kinetic theory ( Ref 40 ) is a potency distribution...