Dosisbegriff und R�ntgeneinheit

Glocker, R.

doi:10.1007/bf01325687

Cited by 16 publications

(12 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…25 If constant stress in grains is assumed ͑Reuss 26 approximation͒, they follow for cubic crystal symmetry ͑in matrix notation͒ as: 27 29 follow in the case of the Kröner 30 approximation, whereas the Voigt 31 assumption ͑constant strain in grains͒ gives diffraction elastic constants independent of crystallographic direction ͑see, for instance, the review by Hauk 32 ͒. Here, ⌫ C is the orientation parameter for cubic crystals:…”

Section: Anisotropic Strain Correctionsmentioning

confidence: 99%

Elastic-strain tensor by Rietveld refinement of diffraction measurements

Balzar

Dreele

Bennett

et al. 1998

Journal of Applied Physics

View full text Add to dashboard Cite

A procedure to obtain all components of the elastic-strain tensor by simultaneous Rietveld refinement of diffraction patterns collected at different specimen orientations is described. The refined lattice parameters yield the hydrostatic strain component. If the lattice constants of the unstrained reference specimen are not known, the deviatoric strain tensor can still be determined. An anisotropic strain component may be refined for cubic and hexagonal crystal structures along with the isotropic. The method is applied to Al/SiC ͑short whisker͒ composites and systematic errors are assessed.

show abstract

Section: Anisotropic Strain Correctionsmentioning

confidence: 99%

Elastic-strain tensor by Rietveld refinement of diffraction measurements

Balzar

Dreele

Bennett

et al. 1998

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

“…1), whereas the latter are averaged over all crystals. Previous treatments by Voigt (1928) or Reuss (1929) (bulk elastic constants) and by Glocker (1938), Schiebold (1938) and M611er & Martin (1939) (X-ray elastic constants) neglect the interaction between a crystallite and its neighbors. Formulae which include the coupling (Eshelby, 1957(Eshelby, , 1959 exist only for the Xray elastic constants of untextured materials (Bollenrath, Hauk & Mfiller, 1967) D611e & Hauk (1978).…”

Section: Isotropic X-ray Elastic Constantsmentioning

confidence: 99%

“…If the interaction is neglected ((t~3ij)=0), the Voigt averages taken over the single-crystal stiffness coefficients (constant average strain) are obtained (Glocker, 1938;Schiebold, 1938;M611er & Martin, 1939 …”

Section: (6c)mentioning

confidence: 99%

The influence of multiaxial stress states, stress gradients and elastic anisotropy on the evaluation of (Residual) stresses by X-rays

Dölle¹

1979

J Appl Crystallogr

368

View full text Add to dashboard Cite

In recent years, nonlinear d vs sin 2 ~O distributions have been observed in stressed materials which cannot be explained by the classical fundamentals of X-ray stress measurement, d is the interplanar spacing measured and ~ is the angle between the surface normal of the sample and the measuring direction. This paper reviews treatments for these nonlinear distributions, including stress gradients, shear stresses and anisotropic X-ray elastic constants. Methods for the evaluation of stresses are reported, and recommendations are given for the practical application of X-ray stress measurement.an understanding of these new experimental results, particularly for textured materials and for materials deformed by large stresses tangent to the surface. From the theory of isotropic elasticity, with do as the lattice parameter of the unstressed material (Macherauch & Mfiller, 1961; Barrett & Massalski, 1966), (d,pq,-do)/do=½s2(hkl)[al cos 2 q) -+-t7 2 sin 2 tp] sin 2 +sl(hkI) [crl +a2], (1) with the principal stresses al and o 2 and the X-ray elastic constants (REC) ½s2(hkl)=[(1 + v)/E]hk~; sl(hkI)=(-v/E) TM. (2a, b)

show abstract

“…Calculations on cold rolled steels can be found in . Figure 3 The strain formula of single crystals (Glocker, 1938;Schiebold 1938;M611er and Martin 1939).…”

Section: Introductionmentioning

confidence: 99%

“…The p-angles under which the measurements should be done are those where intensity poles of the appropriate ideal orientation occur. To evaluate the RS the D-values are used at these p-angles and the calculation is done by the single-crystal-equation (Glocker, 1938;Schiebold, 1938;MSller and Martin, 1939), Figure 3. Figure 4 includes the equations in the case of principal stresses o'1, 0"2, 0" 3 in the specimen system given by RD, TD, ND of these five important ideal orientations which are necessary to describe the textures of iron, nickel, copper and brass.…”

Section: Introductionmentioning

confidence: 99%