Residual stress fields analysis in rolled Zircaloy-4 plates: Grazing incidence diffraction and elastoplastic self-consistent model

Gloaguen, David; Fajoui, Jamal; Girault, Baptiste

doi:10.1016/j.actamat.2014.02.031

Cited by 20 publications

(10 citation statements)

References 29 publications

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“…However, these authors did not quantify the error made by completely neglecting the 2 nd order term as in the present case (aimed at evaluating the capacity of the proposed minimization procedure to estimate the 1 st order stress without being obliged to calculate the 2 nd order term), and introduced rather an additional adjusting parameter to minimize the error made between experimental and calculated profiles [15], and thus to evaluate the predicting capacity of one model in simple cases. The use of an additional adjusting parameter has also been employed by other authors more recently [14,32].…”

Section: Discussionmentioning

confidence: 99%

Comparison of 2 methodologies developed for the determination of residual stresses through X-ray diffraction: application to a textured hcp titanium alloy

et al. 2017

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Keywords: residual stresses, hcp structure, titanium alloys, self-consistent model, X-ray diffraction (XRD). AbstractFor polycrystalline materials, the experimental determination of residual stresses neglects the socalled 2 nd order fluctuations arising from e.g. plastic or thermal incompatibilities from grain to grain. This constitutes a serious limitation of the classical measurements methods, since these 2 nd residual stresses are known to have a major influence on the mechanical behavior of metallic alloys, especially if these are strongly textured. In the present paper, a new methodology for the treatment of the measured data is described and compared to classical ones. In order to do so, the simulation of a tensile test is performed using a self-consistent elasto-plastic model, in order to constitute a virtual experimental data set. The 1 st and 2 nd order stresses are extracted from the simulation for various macroscopic stress levels. Two approaches (the classical sin 2 ψ method and a method based on the simultaneous analysis of several X-ray diffraction peaks) are then used to quantify the 1 st order stresses from these "experimental" data. It is clearly shown that the method based on multi-peak analysis allows to minimize the error made by neglecting the so-called 2 nd order stresses and leads to a better quantitative estimation of the 1 st order stresses.* This article is dedicated to Prof. José Gracio, with whom I had the pleasure of working several times and discussing about the links between microstructure and mechanical properties of engineering materials. Every moment of exchange gave me the opportunity to discover his availability, creativity and enthusiasm for life and research. For all of us, he has been an example and a source of inspiration and renewed motivation. Surely, he would have actively participated to discussions about residual stresses (B. Bacroix).-2 -

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Section: Discussionmentioning

confidence: 99%

Comparison of 2 methodologies developed for the determination of residual stresses through X-ray diffraction: application to a textured hcp titanium alloy

et al. 2017

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“…The subsurface damage occurred in the outmost layer of the KDP sample, and thus, grazing incidence angles of 1°, 3°, 5°and 7°were selected during detection. The grazing incidence angle controls the penetration depth of X-ray beams into materials [15,16]. A conventional X-ray diffraction (XRD) method was used to obtain structure information from the KDP crystal bulk.…”

Section: Methodsmentioning

confidence: 99%

Understanding the formation mechanism of subsurface damage in potassium dihydrogen phosphate crystals during ultra-precision fly cutting

2019

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Potassium dihydrogen phosphate (KDP) crystals play an important role in high-energy laser systems, but the laser damage threshold (LDT) of KDP components is lower than expected. The LDT is significantly influenced by subsurface damage produced in KDP crystals. However, it is very challenging to detect the subsurface damage caused by processing because a KDP is soft, brittle, and sensitive to the external environment (e.g., humidity, temperature and applied stress). Conventional characterization methods such as transmission electron microscopy are ineffective for this purpose. This paper proposes a nondestructive detection method called grazing incidence X-ray diffraction (GIXD) to investigate the formation of subsurface damage during ultra-precision fly cutting of KDP crystals. Some crystal planes, namely (200), (112), (312), (211), (220), (202), (301), (213), (310) and (303), were detected in the processed subsurface with the aid of GIXD, which provided very different results for KDP crystal bulk. These results mean that single KDP crystals change into a lattice misalignment structure (LMS) due to mechanical stress in the subsurface. These crystal planes match the slip systems of the KDP crystals, implying that dislocations nucleate and propagate along slip systems to result in the formation of the LMS under shear and compression stresses. The discovery of the LMS in the subsurface provides a new insight into the nature of the laser-induced damage of KDP crystals.

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“…The diffraction elastic constants 1/2S 2 and S 1 were theoretically calculated with an elastic self-consistent model. [28] The initial residual stresses determined by XRD in the non-deformed sample were introduced into the model as the starting grain stresses for simulation calculations. Appropriate boundary conditions were applied to model the mechanical loading at the strain state corresponding to the neutron diffraction measurements that were performed.…”

Section: Methodsmentioning

confidence: 99%

Bauschinger Effect in an Austenitic Steel: Neutron Diffraction and a Multiscale Approach

Fajoui

Gloaguen

Legrand

et al. 2016

Metall Mater Trans A

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The generation of internal stresses/strains arising from mechanical deformations in single-phase engineering materials was studied. Neutron diffraction measurements were performed to study the evolution of intergranular strains in austenitic steel during sequential loadings. Intergranular strains expand due to incompatibilities between grains and also resulting from single-crystal elastic and plastic anisotropy. A two-level homogenization approach was adopted in order to predict the mechanical state of deformed polycrystals in relation to the microstructure during Bauschinger tests. A mechanical description of the grain was developed through a micro-meso transition based on the Kro¨ ner model. The meso-macro transition using a self-consistent approach was applied to deduce the global behavior. Mechanical tests and neutron diffraction measurements were used to validate and assess the model.

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Residual stress fields analysis in rolled Zircaloy-4 plates: Grazing incidence diffraction and elastoplastic self-consistent model

Cited by 20 publications

References 29 publications

Comparison of 2 methodologies developed for the determination of residual stresses through X-ray diffraction: application to a textured hcp titanium alloy

Comparison of 2 methodologies developed for the determination of residual stresses through X-ray diffraction: application to a textured hcp titanium alloy

Understanding the formation mechanism of subsurface damage in potassium dihydrogen phosphate crystals during ultra-precision fly cutting

Bauschinger Effect in an Austenitic Steel: Neutron Diffraction and a Multiscale Approach

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