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Problems related to near surface stress analysis by means of diffraction methods – comparison of angle- and energy-dispersive techniques

Ingwer A. Denks 

Hahn-Meitner-Institute (HMI), Glienicker Str. 100, Berlin D-14109, Germany

Abstract

Using X-ray diffraction techniques residual stress analysis (RSA) on polycrystalline material can be classified in two different methods in respect of data acquisition. The widely-used angle-dispersive (AD) method is based on scanning the Bragg angle to obtain diffraction lines in discrete positions on the 2q-scale. On the other hand, applying the energy-dispersive (ED) approach, complete energy diffraction spectra containing a multitude of diffraction lines are recorded under fixed geometrical conditions.

Both techniques are complementary, however they have their specific field of application. AD-RSA experiments being usually performed in the lab with X-rays between about 5 keV and 17 keV, are sensitive within a small surface layer of some 10 µm and therefore, well-suited for the detection of very steep residual stress gradients generated, for example, in thin films. ED-RSA using high energy photons up to 100 keV and more allow for higher penetration depths of some hundred microns, which is the transition zone between the biaxial surface and the triaxial volume stress state in the bulk of the material.

An important consequence, which follows from the different data acquisition modes concerns the information being available from AD- and ED diffraction, respectively. ED experiments with the objective of the depth resolved analysis of residual stress gradients benefit from the different energies of the individual diffraction lines E(hkl) in the recorded spectrum, since each line derives from another average information depth. This additional parameter can be used to apply and advance various methods such as the ‘Multi-wavelength method’, the ‘Universal-plot method’ or the ‘Scattering vector method’ developed for the AD mode to the ED case of diffraction.

Stress depth profiling on the basis of the sin2y measuring technique first of all yields the Laplace transform s(t) of the actual (real space) residual stress distributions s(z). The latter have to be evaluated by means of the inverse Laplace transform, which is a difficult procedure leading often to unsatisfactory results. In this respect ED diffraction opens up new prospects for direct residual stress depth scanning in the real space. The idea behind it is to carry out a quasi sin²y-measurement within a fixed elongated gauge volume which is aligned parallel to the sample surface. Application of this technique to multilayer systems reveals the residual stresses within buried sublayers in a depth resolution of approximately 10 µm.

 

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Presentation: Oral at 11th European Powder Diffraction Conference, Microsymposium 6, by Ingwer A. Denks
See On-line Journal of 11th European Powder Diffraction Conference

Submitted: 2008-04-24 17:19
Revised:   2009-06-07 00:48