A continuum damage mechanics (CDM) based Wilshire model for creep deformation, damage, and rupture prediction

Cano, Jaime A.; Stewart, Calvin M.

doi:10.1016/j.msea.2020.140231

Cited by 25 publications

(18 citation statements)

References 26 publications

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“…With the decrease of stress, the constant increases. Cano 23 tried to use Eyring function to account for the stress dependence at a single temperature. However, Eyring function is not suitable to describe the co-dependence of constant on stress and temperature in this study.…”

Section: The Stress and Temperature Dependence Of Constantmentioning

confidence: 99%

“…It is difficult to reliably extrapolate the short-term creep data obtained under high stress and high temperature in laboratory condition to the long-term practical condition of engineering components, due to the lack of explicit stress and temperature dependence of the constants in above damage constitutive models. In order to achieve reasonable extrapolation, Cano 23 tried to combine the Wilshire equations with the damage constitutive model. However, the adopted region-splitting method was contrary to the original intention of Wilshire and made the model more complex [24][25][26][27] .…”

Section: Introductionmentioning

confidence: 99%

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Modeling the creep deformation and damage evolution of superalloy GH4169: Application of a novel damage constitutive model based on continuum damage mechanics

Zhao

Niu

Song

et al. 2022

Preprint

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In order to accurately predict creep deformation and damage evolution of nickel-based superalloy GH4169, a novel damage constitutive model, which can be called TTC CDM-based model, was proposed based on TTC relations and continuum damage mechanics (CDM). The stress and temperature dependence of constants were all determined in the novel model, which overcame the weakness of the traditional CDM-based model and made the model have the satisfactory abilities of interpolation and extrapolation. Microstructural study has revealed that the creep fracture mode gradually converts from intergranular brittle fracture to transgranular ductile fracture as the stress decreases. And the critical conditions were identified. It was determined that the novel model accurately predicted the minimum creep rate, rupture time, creep deformation and damage evolution process of GH4169. Furthermore, the nonlinear creep damage accumulation effect was also revealed by the novel model, i.e. the total creep life of GH4169 will be reduced if high stress or high temperature condition was applied first, which was consistent with previous experimental results of variable creep load.

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Section: The Stress and Temperature Dependence Of Constantmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling the creep deformation and damage evolution of superalloy GH4169: Application of a novel damage constitutive model based on continuum damage mechanics

Zhao

Niu

Song

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Generally, the fatigue damage is accumulated by transgranular defects occurring under cyclic loading conditions, and the creep damage is accumulated by intergranular voids caused by dwell time (i.e., constant loading conditions) (Murakami, 2012). To predict such damage behavior, the number of literature established Continuum Damage Mechanics (CDM) theory-based damage model (Basirat et al., 2012; Cano and Stewart, 2021; Gholami et al., 2021; Naderi et al., 2013), and under high-temperature conditions, the advance of solution reliability can be expected through the integration with the elasto-viscoplastic model (Masuoka and Riccius, 2020). In addition, high-temperature structures are subjected to both cyclic and dwell loading simultaneously during operations.…”

Section: Introductionmentioning

confidence: 99%

An integrated unified elasto-viscoplastic fatigue and creep damage model with characterization method for structural analysis of nickel-based high-temperature structure

Choi

Lim

Yun

2022

International Journal of Damage Mechanics

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This paper proposes an integrated unified elasto-viscoplastic fatigue and creep damage model with modified hardening equations to simulate the elasto-viscoplasticity, primary-secondary and tertiary creep, relaxation, cyclic softening, temperature-dependency, and creep-fatigue interaction (CFI) damage. For this purpose, we integrate the creep damage and fatigue damage model into the viscoplasticity-damage model to predict tertiary creep and cyclic softening behavior caused by creep and fatigue damage modes. Interaction effects between each damage mode are considered by the creep-fatigue interaction (CFI) damage scheme. This paper also introduces a genetic algorithm-based integrated characterization method that can effectively optimize material input parameters of the unified elasto-viscoplastic-damage material model with limited experimental data. Implicit Euler's backward iteration scheme is adopted to improve the convergence and accuracy of solutions. The proposed material model is implemented in UMAT for finite element (FE) analysis of high-temperature structures under cyclic-dwell loading. Experimental data of tensile, dwell, creep, and cyclic loading at various temperatures are used to verify the model. Finally, full-scale turbine blade FE analysis is performed under anisothermal conditions. The proposed material modeling framework can also be utilized for other high-temperature structures, such as power plants, leading-edge nose cones, etc.

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“…Such a process is not ideally suited to finite element modelling of the small punch creep test. Cano and Stewart [16] by passed this procedure by integrating the Wilshire equations into a CDM model, but the resulting model was not capable of modelling the primary stages of the creep process. Therefore, the aim of this paper is to overcome the limitations of these last two approaches by integrating the Wilshire equations for time to failure and minimum creep rates into a modified Kachanov-Rabotnov (K-R) creep continuum damage model.…”

Section: Introductionmentioning

confidence: 99%

“…Cano et. al [16]. have recently developed a CDM version of this Wilshire approach in which they replace the Sinh function in Eqs (5).…”

mentioning

confidence: 99%

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

2022

Materials at High Temperatures

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In this paper, a new constitutive model is presented that combines the Wilshire equations with a modified Kachanov-Rabotnov continuum damage mechanics (CDM) to enable the prediction of uniaxial creep curves that contain both a primary and tertiary stage.Another advantage of this approach is that the Wilshire equations have been shown to accurately extrapolate the operational failure times and minimum creep rates from very shortterm tests. This approach also removes the need to estimate the Wilshire time to strain equation at numerous different strains. A simple but multi-step procedure is also introduced for estimating the unknown parameters of this model. When applied to Waspaloy data, the model was shown to represent the shape of the experimental creep curves reasonably well 9especially at low and high strains) and provides reasonable creep curve predictionswith percentages errors averaging around 4-5%.

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A continuum damage mechanics (CDM) based Wilshire model for creep deformation, damage, and rupture prediction

Cited by 25 publications

References 26 publications

Modeling the creep deformation and damage evolution of superalloy GH4169: Application of a novel damage constitutive model based on continuum damage mechanics

Modeling the creep deformation and damage evolution of superalloy GH4169: Application of a novel damage constitutive model based on continuum damage mechanics

An integrated unified elasto-viscoplastic fatigue and creep damage model with characterization method for structural analysis of nickel-based high-temperature structure

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

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