Incorporating the Wilshire equations for time to failure and the minimum creep rate into a continuum damage mechanics for the creep strain of Waspaloy

Evans, Mark

doi:10.1080/09603409.2021.2024418

Cited by 1 publication

(3 citation statements)

References 26 publications

(34 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Following the similar logic, Evans 24 incorporated the Wilshire equations with the modified K‐R model, and proposed a new CDM model:

\overset{ε}{true} goodbreak= {[{([], \frac{- \ln (σ / σ_{b})}{k_{2}})}^{1 / v} \exp (- Q^{*} / RT)]}^{ρ} {(1 - ω)}^{n_{1}} {(\frac{t}{t_{f}})}^{m}

\overset{ω}{true} goodbreak= \frac{G {[- \ln (σ / σ_{b})]}^{χ}}{{((), 1 goodbreak- ω)}^{ϕ}} t^{m}

where

ρ

n_{1}

m

G

χ

, and

ϕ

are constants. A very complicated expression of creep strain was obtained as follows:

\frac{ε}{ε_{f}} goodbreak= \frac{1 - {[(t / {([], \frac{(m + 1) (1 - {((), 1 goodbreak- ω_{f})}^{1 + ϕ})}{(1 + ϕ) G τ^{χ}})}^{\frac{1}{m + 1}}) ({((), 1 goodbreak- ω_{f})}^{1 + ϕ} - 1) + 1]}^{Δ}}{1 - [(...</p]}

…”

Section: The Existing Creep Damage Constitutive Modelsmentioning

confidence: 99%

“…Following the similar logic, Evans 24 incorporated the Wilshire equations with the modified K-R model, and proposed a new CDM model:…”

Section: Evans Damage Modelmentioning

confidence: 99%

“…However, the region‐splitting method adopted from Wilshire 20–23 made the model more complex, necessitating unique materials constants for each dominant deformation mechanism region. Evans 24 developed a model that incorporated the Wilshire equations with modified Kachanov‐Rabotnov model. This model mainly focused on creep strain curve, and the closed form expression of strain was obtained.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A novel damage constitutive model for creep deformation and damage evolution prediction

Zhao

Niu

Song

et al. 2022

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

In order to accurately predict creep deformation and damage evolution of nickel-based superalloy GH4169, a novel damage constitutive model, that is, TTC CDM-based model, was proposed based on TTC relations and continuum damage mechanics (CDM). This model combined the best features of the TTC relations and CDM. The recently developed TTC relations were intrinsic relations between threshold stress, tensile properties, and creep behavior and exhibited better prediction ability than Wilshire equations. It was determined that the model accurately predicted the minimum creep rate, rupture time, creep deformation, and damage evolution process of GH4169. Microstructural study has revealed that the creep fracture mode gradually converts from intergranular brittle fracture to transgranular ductile fracture as the stress decreases. Furthermore, the nonlinear creep damage accumulation effect was also revealed by the novel model.

show abstract

“…Following the similar logic, Evans 24 incorporated the Wilshire equations with the modified K‐R model, and proposed a new CDM model: