X-Ray Multiaxial Stress Analysis Taking Account of Stress Gradient

Since the method of X-ray multiaxial stress analysis (ψ-splitting problem) was proposed by Dolle and Hauk, their method is often utilized for residual stress evaluation on a processed surface. However, as pointed out by thanselves, a theoretical problem still remains on the assumption of the stress state. Namely, the effect of ψ-splitting is impossible unless stress gradients with respect to the direction of the depth in σ13 or σ23 are present, because these components and σ33 have to vanish at the outer surface. Actually, we often find the 2θ vs. sin2ψ relations which do not agree with their theory. In this paper, we proposed a new method for X-ray multiaxial stress analysis in which the effect of stress gradient was considered. The basic equation of this method was solved by means of the integral method proposed by Lode and Peiter. The validity of the present method was proved through a numerical simulation and an experiment.

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X-Ray Multiaxial Stress Analysis on Materials with Stress Gradient by Use of Cosψ Function

Advances in X-Ray Analysis ◽

10.1007/978-1-4613-2471-3_38 ◽

1985 ◽

pp. 255-264 ◽

Cited By ~ 2

Author(s):

Yasuo Yoshioka ◽

Toshihiko Sasaki ◽

Makoto Kuramoto

Keyword(s):

Stress Analysis ◽

Stress Gradient ◽

Multiaxial Stress ◽

X Ray

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X-Ray Multiaxial Stress Analysis Taking Account of Stress Gradient

Advances in X-Ray Analysis ◽

10.1007/978-1-4613-2775-2_15 ◽

1984 ◽

pp. 121-128 ◽

Cited By ~ 9

Author(s):

Toshihiko Sasaki ◽

Makoto Kuramoto ◽

Yasuo Yoshioka

Keyword(s):

Stress Analysis ◽

Stress Gradient ◽

Multiaxial Stress ◽

X Ray

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Non-Destructive Residual Stress Analysis of Induction Hardened Components by Neutron and X-Ray Diffraction

Materials Science Forum ◽

10.4028/www.scientific.net/msf.768-769.420 ◽

2013 ◽

Vol 768-769 ◽

pp. 420-427 ◽

Cited By ~ 2

Author(s):

Jeremy Epp ◽

Thilo Pirling ◽

Thomas Hirsch

Keyword(s):

Residual Stress ◽

Chemical Composition ◽

Residual Stresses ◽

Stress Analysis ◽

Stress Gradient ◽

X Ray Diffraction ◽

Neutron Measurement ◽

X Ray ◽

Layer Removal ◽

Residual Stress Analysis

In this paper the microstructural and residual-stress analysis of an induction hardened plate of medium carbon steel is described. The stress gradient was determined using laboratory X-ray diffraction (IWT, Bremen, Germany) and neutron strain scanning (ILL, Grenoble, France). Due to slight variations of chemical composition in the depth, matchstick like (cross section 2×2mm²) d0-reference samples were prepared from a similarly treated sample. The d0shift induced by variation of chemical composition was measured by neutron and by X-ray diffraction along the strain free direction (sin²ψ*) and used for the evaluation of the neutron stress calculation. The d0distribution obtained from the neutron measurement did not appear reliable while the method using X-ray diffraction seems to be an efficient and reliable method to determine d0profiles in small samples. The evaluation of neutron measurements was then done using the X-ray diffraction d0distribution. High compressive residual stresses were measured in the hardened layer followed by high tensile residual stresses in the core. A comparison of the neutron measurements with X-ray diffraction (XRD) depth profiles obtained after successive layer removal showed that both methods give similar results. However, these investigations opened the question about the direct comparison of the residual stresses obtained by neutron and XRD. Indeed, a correction of the neutron data regarding the residual stresses in thickness direction might be necessary as these are released in the case of X-ray diffraction measurements after layer removal.

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X-Ray Study on Deformation and Fracture of Solid. Residual Stress Analysis on Materials with Steep Stress Gradient by Using X-Ray Incidence at Higher Angles.

Journal of the Society of Materials Science Japan ◽

10.2472/jsms.45.766 ◽

1996 ◽

Vol 45 (7) ◽

pp. 766-771 ◽

Cited By ~ 2

Author(s):

Shin-ichi OHYA ◽

Yasuo YOSHIOKA ◽

Shigeki MAENO

Keyword(s):

Residual Stress ◽

Stress Analysis ◽

Stress Gradient ◽

X Ray ◽

Deformation And Fracture ◽

Residual Stress Analysis

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Method for the X-ray Analysis of Multiaxial Stress in Materials with a Steep Stress Gradient

X-ray Diffraction Studies on the Deformation and Fracture of Solids ◽

10.1016/b978-0-444-81690-0.50010-8 ◽

1993 ◽

pp. 73-94

Author(s):

TOSHIHIKO SASAKI ◽

MAKOTO KURAMOTO ◽

YASUO YOSHIOKA

Keyword(s):

Stress Gradient ◽

Multiaxial Stress ◽

X Ray

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X-ray Multiaxial Stress Analysis on Materials with Stress Gradient by Use of Cos Ψ Function

Advances in X-ray Analysis ◽

10.1154/s0376030800014063 ◽

1984 ◽

Vol 28 ◽

pp. 255-264 ◽

Cited By ~ 1

Author(s):

Yasuo Yoshioka ◽

Toshihiko Sasaki ◽

Makoto Kuramoto

Keyword(s):

Residual Stresses ◽

Stress Analysis ◽

Stress Tensor ◽

Penetration Depth ◽

Stress Gradient ◽

X Rays ◽

Average Strain ◽

X Ray ◽

Stress Gradients ◽

Stress Components

When X-ray residual stresses are determined taking into account the stress gradients within the penetration depth of X-rays, three assumptions have usually been made; 1) the stress gradient is linear in respect to the depth from the specimen surface, 2) the penetration depth of X-rays is a function of Sin2ψ and 3) the strain measured by X-rays corresponds to the average strain weighted on the intensity of the diffracted X-rays. However, the assumption of the penetration depth of X-rays is the reason we sometimes observed noticeable errors which depend on the combination of stress components in the stress tensor.

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Influence of Shot-Peening Parameters on the Sub-Surface Residual Stress Profiles in Al-7075 Alloy Components

Materials Science Forum ◽

10.4028/www.scientific.net/msf.768-769.66 ◽

2013 ◽

Vol 768-769 ◽

pp. 66-71 ◽

Cited By ~ 1

Author(s):

Diego Cecchin ◽

Cristy Leonor Azanza Ricardo ◽

Mirco D'Incau ◽

Michele Bandini ◽

Paolo Scardi

Keyword(s):

Residual Stress ◽

Stress Analysis ◽

Shot Peening ◽

Stress Gradient ◽

Stress Profile ◽

Surface Residual Stress ◽

X Ray ◽

Al 7075 ◽

Stress Profiles ◽

Residual Stress Analysis

Aluminum alloy (Al-7075-T6) samples were analyzed to determine the in-depth residual stress profile induced by a shot-peening treatment. The influence of coverage degree and Almen intensity on the surface residual stress and on the sub-surface residual stress gradient was investigated. Residual stress profiles were obtained using three different techniques: (i) standard laboratory X-ray diffraction (XRD) residual stress analysis with progressive chemical layer-removal; (ii) XRD residual stress analysis with synchrotron radiation using different X-ray energies, thus changing the penetration depths, and (iii) Blind Hole Drilling (BHD). A comprehensive comparison of the results given by the used techniques is shown.

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Determination of X-Ray Elastic Constants of Isotropic Materials With Non-Linear Sin2ϕ Diagrams

Advances in X-ray Analysis ◽

10.1154/s0376030800015809 ◽

1993 ◽

Vol 37 ◽

pp. 299-304

Author(s):

Toshihiko Sasaki ◽

Yukio Hirose

Keyword(s):

Residual Stresses ◽

Stress Analysis ◽

Elastic Constants ◽

Axial Stress ◽

Stress Evaluation ◽

X Ray ◽

Stress Components ◽

Non Linear ◽

Zinc Nickel

As known well, non-linear sin2ϕ diagrams are observed from materials having either steep gradients of residual stresses paralell to the surface normal of the specimen or tri-axial stress components. Many authors have reported on this problem for several processing such as polishing and grinding etc. The authors also obtained such non-linear data from an electro-plated zinc—nickel alloy. For these cases, the sin2ϕ method is inadequate for the stress evaluation. Much attention has been given to the stress analysis from about 1970s as compared to the X-ray elastic constants for this phenomenon.

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