Two-dimensional imaging of Debye-Scherrer ring for tri-axial stress analysis of industrial materials

Sasaki, Toshihiko; Maruyama, Yoichi; Ohba, Hiroaki; Ejiri, Shouichi

doi:10.1088/1748-0221/9/07/c07006

Cited by 17 publications

(9 citation statements)

References 10 publications

(16 reference statements)

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“…The two-dimensional cos method was first proposed in the late 1970s (Taira et al, 1978;Taira & Tanaka, 1979) using photographic film. It was applied to the image plate in the early 1990s (Yoshioka & Ohya, 1992), and has been further developed for advanced use since the late 1990s (Sasaki et al, 1997;Sasaki & Kobayashi, 2009;Sasaki et al, 2014). Suppose that a diffraction ring forms on the image plate through which the incident beam passes with an angle of 0 and ' 0 from the z and x axes, as shown in Fig.…”

Section: The Cos a Methodsmentioning

confidence: 99%

“…In summary, equations (5) and (10) are the basic equations for the sin 2 and cos analysis in isotropic, homogeneous and bi-axial stress conditions. For anisotropic, heterogeneous or multi-axial stress cases, these equations have to be modified as reported previously by Noyan & Cohen (1987) and Dö lle (1979) for the sin 2 method and by Sasaki and co-workers (Sasaki et al, 2014;Sasaki & Kobayashi, 2009) for the cos method.…”

Section: The Cos a Methodsmentioning

confidence: 99%

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Precision and accuracy of stress measurement with a portable X-ray machine using an area detector

et al. 2017

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The use of portable X-ray stress analyzers, which utilize an area detector along with the newly adopted 'cosα' or full-ring fitting method, has recently attracted increasing interest. In laboratory conditions, these measurements are fast, convenient and precise because they employ a single-exposure technique that does not require sample rotation. In addition, the effects of grain size and orientation can be evaluated from the Debye ring recorded on the area detector prior to data analysis. The accuracy of the measured stress, however, has been questioned because in most cases just a single reflection is analyzed and the sample-to-detector distances are relatively short. This article presents a comprehensive analysis of the uncertainty associated with a state-of-the-art commercial portable X-ray device. Annealed ferrite reference powders were used to quantify the instrument precision, and the accuracy of the stress measurement was tested by in situ tensile loading on 1018 carbon steel and 6061 aluminium alloy bar samples. The results show that the precision and accuracy are sensitive to the instrument (or sample) tilt angle (ψ0) as well as to the selected hkl reflection of the sample. The instrument, sample and data analysis methods all affect the overall uncertainty, and each contribution is described for this specific portable X-ray system. Finally, on the basis of the conclusions reached, desirable measurement/analysis protocols for accurate stress assessments are also presented

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Section: The Cos a Methodsmentioning

confidence: 99%

Section: The Cos a Methodsmentioning

confidence: 99%

Precision and accuracy of stress measurement with a portable X-ray machine using an area detector

et al. 2017

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“…Different approaches for the determination of the stress state from the information contained in a single Debye exposure exist, such as the cos α method introduced by Sasaki et. al [14][15][16] or the direct least squares fitting of the measured strain [17]. Despite the attractiveness of these portable devices in both industrial and scientific applications, there is no current agreement among experts on the most efficient, precise and accurate stress determination formalism.…”

Section: Introductionmentioning

confidence: 99%

Stress measurement using area detectors: a theoretical and experimental comparison of different methods in ferritic steel using a portable X-ray apparatus

et al. 2016

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Using area detectors for stress determination by diffraction methods in a single exposure greatly simplifies the measurement process and permits the design of portable systems without complex sample cradles or moving parts. An additional advantage is the ability to see the entire or a large fraction of the Debye ring and thus determine texture and grain size effects before analysis. The two methods most commonly used to obtain stress from a single Debye ring are the so called cos α and full-ring fitting methods, which employ least-squares procedures to determine the stress from the distortion of a Debye ring by probing a set of scattering vector simultaneously. The widely applied sin 2 ψ method, in contrast, requires sample rotations to probe a different subset of scattering vector orientations. In this paper we first present a description of the different methods under the same formalism and using a unified set of coordinates that are suited to area detectors normal to the incident beam, highlighting the similarities and differences between them. We further characterize these methods by means of in-situ measurements in carbon steel tube samples, using a portable detector in reflection geometry. We show that, in the absence of plastic flow, the different methods yield basically the same results and are equivalent. An analysis of possible sources of errors and their impact in the final stress values is also presented.

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“…The two‐dimensional area detector of the XRD measurement equipment captures the information on the residual strain at different Debye angles (

\alpha

) ranging from 0 to 360 degrees (Sasaki et al., 2014). Equation () introduces a variable to represent the mean of the residual strains at different angles with an interval of 90 degrees.…”

Section: Methodsmentioning

confidence: 99%

Optimization‐improved thermal–mechanical simulation of welding residual stresses in welded connections

Wang,

Qian

2024

Computer aided Civil Eng

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This paper presents a novel computer‐aided computational framework to determine the optimum shape parameters in a welding heat source model using a coupled supervised Gaussian process regression (GPR) and genetic algorithm (GA) approach in estimating the welding residual stresses. The experimental X‐ray diffraction (XRD) approach validates the optimization‐improved thermal–mechanical simulation method. The validation of the proposed approach includes the welded plates with simple geometry to welded pipe‐to‐plate and the circular hollow section joints with complex topologies. The optimization‐derived shape parameters in a welding heat source model lead to close estimates of the temperature history and the welding residual stresses for these types of welded joints considered in this study.

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Two-dimensional imaging of Debye-Scherrer ring for tri-axial stress analysis of industrial materials

Cited by 17 publications

References 10 publications

Precision and accuracy of stress measurement with a portable X-ray machine using an area detector

Precision and accuracy of stress measurement with a portable X-ray machine using an area detector

Stress measurement using area detectors: a theoretical and experimental comparison of different methods in ferritic steel using a portable X-ray apparatus

Optimization‐improved thermal–mechanical simulation of welding residual stresses in welded connections

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