On the development of creep damage constitutive equations: a modified hyperbolic sine law for minimum creep strain rate and stress and creep fracture criteria based on cavity area fraction along grain boundaries

Xu, Qiang; Xin, Yang; Lu, Joan

doi:10.1080/09603409.2017.1388603

Cited by 29 publications

(45 citation statements)

References 13 publications

(24 reference statements)

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“…2.1 The modified hyperbolic sine law for minimum creep strain rate and stress law Xu's modified hyperbolic sine law is given as [12]:…”

Section: Methodsmentioning

confidence: 99%

“…It was originally proposed by the first author for low Cr alloy [12], and its application was very successful [12].…”

Section: Methodsmentioning

confidence: 99%

“…However, an unexpected abnormal variation of the value of A with stress level occurred which is shown in Table 1 and graphically in Figure 1 [12]. Due to the lack of a trend with stress level, it is hard to use them in prediction with confidence.…”

Section: Current Creep Cavity Damage Modelingmentioning

confidence: 99%

“…The variation of cavitation coefficient A [11]. The variation of creep cavity damage coefficient A with different stress and temperature [12].…”

Section: Opportunity and Research Progressmentioning

confidence: 99%

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Modeling of Creep Deformation and Creep Fracture

Xu¹,

Lu²

2020

Strength of Materials

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This chapter reports the recent progresses in (1) the development of a modified hyperbolic sine law able to depict the minimum creep strain rate over a wider range of stress levels; (2) the development of the creep fracture criterion and model based on the cavity area fraction along grain boundary calibrated with the most representative and comprehensive cavitation data obtained from X-ray synchrotron investigation; and (3) the development of mesoscopic composite approach modeling of creep deformation and creep damage. The first progress facilitates to overcome the difficulty in creep deformation modeling caused by stress breakdown phenomenon; the second progress is of a really scientifically sound and fundamental new approach, first in the world; the third progress provides the concept and tool, at the appropriate size scale, for the modeling of the creep deformation and creep fracture. They all contribute to the specific knowledge and new methodology to the topic area. Furthermore, it is expected that cavitation fracture modeling methodology reported here will find use in the analysis and modeling of other types of failure such as ductile and fatigue failure. This chapter presents an excellent example of interdisciplinary collaborative research and it advocates further such collaboration in its conclusion.

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“…2.1 The modified hyperbolic sine law for minimum creep strain rate and stress law Xu's modified hyperbolic sine law is given as [12]:…”

Section: Methodsmentioning

confidence: 99%

“…It was originally proposed by the first author for low Cr alloy [12], and its application was very successful [12].…”

Section: Methodsmentioning

confidence: 99%

Section: Current Creep Cavity Damage Modelingmentioning

confidence: 99%

“…The variation of cavitation coefficient A [11]. The variation of creep cavity damage coefficient A with different stress and temperature [12].…”

Section: Opportunity and Research Progressmentioning

confidence: 99%

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Modeling of Creep Deformation and Creep Fracture

Xu¹,

Lu²

2020

Strength of Materials

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“…Recently, synchrotron micro-tomography has been used to investigate the cavitation of high Cr steel [5][6][7], and continuous cavity nucleation and cavity growth models were calibrated by Xu et al [8] and an explicit creep fracture model, based on the coalescence of grain boundary cavities was derived [8]. The applicability of Xu's creep fracture lifetime model to a stress range of 120 MPa to 180 MPa and a lifetime of 2825 to 51,406 h, has been demonstrated with 87% of accuracy [9].…”

Section: Introductionmentioning

confidence: 99%

Development of the FE In-House Procedure for Creep Damage Simulation at Grain Boundary Level

2019

Metals

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A two-dimensional (2D) finite element framework for creep damage simulation at the grain boundary level was developed and reported. The rationale for the paper was that creep damage, particularly creep rupture, for most high temperature alloys is due to the cavitation at the grain boundary level, hence there is a need for depicting such phenomenon. In this specific development of the creep damage simulation framework, the material is modeled by grain and GB (grain boundary), separately, where smeared-out grain boundary element is used. The mesh for grain and grain boundary is achieved by using Neper software. This paper includes (1) the computational framework, the existing subroutines, and method applied in this procedure; (2) the numerical and programming implementation of the GB; (3) the development and validation of the creep software; and (4) the application to simulate plane stress Copper–Antimony alloy. This paper contributes to the development of finite element simulation for creep damage/rupture at a more realistic grain boundary level and contributes to a new understanding of the intrinsic relationship of stress redistribution and creep fracture.

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The Development of a Cavitation-Based Model for Creep Lifetime Prediction Using Cu-40Zn-2Pb Material

Okpa,

Xu,

2023

Advanced Structured Materials

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On the development of creep damage constitutive equations: a modified hyperbolic sine law for minimum creep strain rate and stress and creep fracture criteria based on cavity area fraction along grain boundaries

Abstract: (2017) On the development of creep damage constitutive equations: a modified hyperbolic sine law for minimum creep strain rate and stress and creep fracture criteria based on cavity area fraction along grain boundaries, Materials at

Cited by 29 publications

References 13 publications

Modeling of Creep Deformation and Creep Fracture

Modeling of Creep Deformation and Creep Fracture

Development of the FE In-House Procedure for Creep Damage Simulation at Grain Boundary Level

The Development of a Cavitation-Based Model for Creep Lifetime Prediction Using Cu-40Zn-2Pb Material

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