A simple method for calculating the stress intensity factors for complex 3D cracks at a notch

Peng, Daren; Jones, Rhys

doi:10.1016/j.engfracmech.2016.02.042

Cited by 8 publications

(4 citation statements)

References 11 publications

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“…In this case, p is incapable to describe the relationship between s 0 and K I well. 11 For the crossbores, the stress field around the crack tip is also influenced by the stress distribution decided by the structure itself. As Figure 5 shows, the overall stress distributions of crossbores with and without crack are similar with each other.…”

Section: Key Faces Boundary Conditionsmentioning

confidence: 99%

“…Stress intensity factor (SIF) as a key conception of linear elastic fracture mechanics is proposed to describe the stress field of crack tip. 10,11 Usually, numerical analysis is taken into account for the assessments of SIF in pressure vessels, but most of which are about cylindrical. To name a few, the analysis on interactions between surface cracks and an embedded elliptical crack in a pressurized cylinder is carried out by Chai and Zhang.…”

Section: Introductionmentioning

confidence: 99%

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Research on stress intensity factor of crack at intersection of crossbores

Zhang

Zhou

2018

Advances in Mechanical Engineering

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Circular crossbore as a common geometric construction exists widely in the engineering components. Its fatigue life is heavily decreased by the crack failure around the intersecting line. So, the typical analysis model of crossbores with mode I crack is built, and the influence of four main parameters, such as thickness-diameter ratio Y, crossbores diameter ratio Q, crack length a, and axis ratio of elliptical crack face b/a, on fracture parameter K I is presented. The results show that the distribution of K I is mainly influenced by Q and b/a, and the influence of b/a is more obvious. The value of K I is mainly influenced by Y, Q, and a, while the influence of b/a is not evident. For elliptical crack face, the K Imax (maximum value of K I ) located at the short axis leads to higher crack growth rate. K Imax is a crucial factor of fracture criterion, and the significance of factors on it is also analyzed here. A variance analysis of four factors is performed and their order is Y . Q . a . b/a. In addition, a calculation function of K Imax is built based on 294 sets' data and the error is analyzed by mean absolute percentage error with maximum error being less than 7.2%.

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Section: Key Faces Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on stress intensity factor of crack at intersection of crossbores

Zhang

Zhou

2018

Advances in Mechanical Engineering

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“…Furthermore, the 3-D Stress Intensity Factors was calculated to full autofrettage for inner radial or coplanar crack arrays and ring cracks in a spherical pressure vessel [6]. Meanwhile a simple method was used for calculating the stress intensity factors for complex 3D cracks at a notch [7]. Stress intensity factors for semi-elliptical cracks with high aspect ratios were computed by using the tetrahedral finite element [8].…”

Section: Introduction *mentioning

confidence: 99%

Analysis of 3d Semi-Elliptical Crack on Reactor Pressure Vessel Wall With Load Stress and Crack Ratio

et al. 2019

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Reactor Pressure Vessel (RPV) wall is an important component in the Nuclear Power Plant (NPP). During reactor operation, RPV is subjected to high temperature, pressure, and neutron exposure. This condition could lead to RPV structure failure. In order to assure the integrity of RPV during the reactor lifetime, it is mandatory to perform a structural integrity assessment of RPV by evaluating postulated crack in RPV. In the previous study, the crack has evaluated in 2-D. However, 3-D analysis of semi-elliptic crack shape in the surface of the thick plate for RPV wall using SA 508 Steel is yet to be analyzed. The objective of this study is to analyze and modeling the evaluation in variation crack ratio with some load stress in 3-D. The Stress Intensity Factor (SIF) and J-integral are used as crack parameter. The J-Integral were calculated using MSC MARC MENTAT based on Finite Element Method (FEM) for obtaining the SIF value. The inputs are a crack ratio, load stress, material property, and geometry. The modeling of SIF value and goodness of fit are using MINITAB. The fracture condition could be predicted in comparison to the SIF value and fracture toughness. For the load stress 70 MPa and 80 MPa, with a crack ratio 0.25, 0.33 and 0.5, the material on RPV wall will in fracture condition.Keywords: Semi elliptic surface crack, 3-dimension, reactor pressure vessel, elastic-plastic fracture mechanics, J-integral

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“…The prospect and limitation of a fracture mechanic tool were reviewed for failure analysis. A simple method has been used to calculate the SIF for complex 3-D cracks at a notch [6]. The SIF for semi-elliptical cracks with high aspect ratio was computed by using the tetrahedral finite element [7].…”

Section: Introductionmentioning

confidence: 99%

The Analysis of Optimal Crack Ratio for PWR Pressure Vessel Cladding Using Genetic Algorithm

Susmikanti

Himawan

Sulistyo³

2018

Tri Dasa Mega

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Several aspects of material failure have been investigated, especially for materials used in Reactor Pressure Vessel (RPV) cladding. One aspect that needs to be analyzed is the crack ratio. The crack ratio is a parameter that compares the depth of the gap to its width. The optimal value of the crack ratio reflects the material's resistance to the fracture. Fracture resistance of the material to fracture mechanics is indicated by the value of Stress Intensity Factor (SIF). This value can be obtained from a J-integral calculation that expresses the energy release rate. The detection of the crack ratio is conducted through the calculation of J-integral value. The Genetic Algorithm (GA) is one way to determine the optimal value for a problem. The purpose of this study is to analyze the possibility of fracture caused by crack. It was conducted by optimizing the crack ratio of AISI 308L and AISI 309L stainless steels using GA. Those materials are used for RPV cladding. The minimum crack ratio and J-Integral values were obtained for AISI 308L and AISI 309L. The SIF value was derived from the J-Integral calculation. The SIF value was then compared with the fracture toughness of those material. With the optimal crack ratio, it can be predicted that the material boundaries are protected from damaged events. It can be a reference material for the durability of a mechanical fracture event.Keywords: Fracture mechanics, RPV cladding, J-Integral, Stress Intensity Factor, Genetic Algorithm ANALISIS RASIO RETAK OPTIMAL UNTUK KELONGSONG BEJANA TEKAN PWR MENGGUNAKAN ALGORITMA GENETIKA. Banyak aspek kegagalan material telah diteliti, terutama untuk bahan yang digunakan pada kelongsong bejana tekan reaktor (RPV). Salah satu aspek yang perlu dianalisis adalah rasio retak. Rasio retak adalah parameter yang membandingkan kedalaman celah dengan lebarnya. Nilai optimal rasio retak mencerminkan ketahanan material terhadap patahan. Ketahanan material terhadap mekanika patahan ditunjukkan oleh nilai Stress Intensity Factor (SIF). Nilai ini dapat diperoleh dari perhitungan J-integral yang mengekspresikan tingkat pelepasan energi. Deteksi rasio retak dilakukan melalui perhitungan nilai J-integral. Algoritma Genetika (GA) adalah salah satu cara untuk menentukan nilai optimal suatu masalah. Tujuan dari penelitian ini adalah untuk menganalisis kemungkinan patah yang disebabkan oleh retak dengan menganalisis rasio retak baja tahan karat AISI 308L dan AISI 309L dengan GA. Bahan tersebut digunakan untuk kelongsong RPV. Rasio retak optimal dan nilai J-Integral diperoleh untuk AISI 308L dan AISI 309L. Nilai SIF berasal dari perhitungan J-Integral. Nilai SIF kemudian dibandingkan dengan ketangguhan retak material tersebut. Dengan rasio retak optimal, dapat diprediksi batas rasio retak sehingga terlindung dari kejadian patah. Hal ini dapat menjadi bahan referensi untuk ketahanan dari mekanika patahan.Kata kunci: Mekanika Patahan, Kelongsong Bejana Tekan Reaktor, J-Integral, Faktor Intensitas Tegangan, Algoritma Genetik

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A simple method for calculating the stress intensity factors for complex 3D cracks at a notch

Cited by 8 publications

References 11 publications

Research on stress intensity factor of crack at intersection of crossbores

Research on stress intensity factor of crack at intersection of crossbores

Analysis of 3d Semi-Elliptical Crack on Reactor Pressure Vessel Wall With Load Stress and Crack Ratio

The Analysis of Optimal Crack Ratio for PWR Pressure Vessel Cladding Using Genetic Algorithm

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