Correct calculation of the stress relaxation on the foil surface in constructing theoretical electron micrographs

Maksimov, S. K.; Piskunov, D. I.

doi:10.1002/pssa.2210390212

Cited by 3 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…form of (1) gives the following set of boundary conditions: axk Thus, the problem of determination of the deformation fields in a semi-infinite medium is reduced to calculating Fourier components of the surface loadings P i ( x l , x2) and aUi/ax, from (7).…”

Section: Basic Equation Of the Calculation Methodsmentioning

confidence: 99%

Elastic fields of a dislocation inclined to a free surface

Филиппов¹,

Gaidukov²,

Maksimov³

1985

phys. stat. sol. (a)

Self Cite

View full text Add to dashboard Cite

A direct method of calculating the deformation fields of an inclined dislocation in a semi‐infinite medium is developed. A quantitative analysis of the elastic field distribution shows that a free surface localizes elastic fields near the dislocation nuclei and reduces them at large distances. Redistribution of elastic fields results in a sign inversion of some components of the stress tensor. For a screw dislocation in the region close to the surface there appears dilatation with an amplitude comparable with that of an edge dislocation.

show abstract

Section: Basic Equation Of the Calculation Methodsmentioning

confidence: 99%

Elastic fields of a dislocation inclined to a free surface

Филиппов¹,

Gaidukov²,

Maksimov³

1985

phys. stat. sol. (a)

Self Cite

View full text Add to dashboard Cite

show abstract

Effects of free surface on the electron-microscopic contrast of prismatic dislocation loops

Maksimov¹,

Филиппов²

1980

Phys. Stat. Sol. (a)

View full text Add to dashboard Cite

For an edge dislocation loop lying in the plane parallel to the surface formulae are obtained for the displacement field gradient caused by stress relaxation on the free surface. The features of the electron microscopical contrast are determined from the obtained displacement distribution regularities. A comparison is made between theoretical images of a dipole in regard to the relaxation, and a loop without and with regard to the relaxation. It is shown that the calculated image constructed with regard to the stress relaxation on the free surface corresponds to the experiments almost exactly.

show abstract

Connection of prismatic dislocation loop sizes and interference errorS with the techniques of determining the loop nature

Maksimov¹,

Филиппов²

1982

phys. stat. sol. (a)

Self Cite

View full text Add to dashboard Cite

By calculating the electron microscopy (EM) contrast it is shown that the surface stress relaxation affects the EM image of loops located at the depth L < 2D (D is the loop diameter). It is found that at L < D every element of a dislocation loop interacts with the surface as a single dislocation and at L > D the loop interacts with the surface as a whole. On the basis of the results obtained validity limits of techniques used to study the sign of the Burgers vector of dislocation loops depending on their sizes are determined. The sign of contrast on the dislocation loop image is shown to remain unchanged if the interference error |S| < 0.5/ζg (ζg is the extinction length for the corresponding reflection), and at |S| > 0.5/ζg images may appear for which the sequence of black‐and‐white details of the contrast is reciprocal to that at S = 0. Hence, images with black‐and‐white contrast can be used with certainty in determining the loop nature only in the neighbourhood of S = 0.

show abstract

Correct calculation of the stress relaxation on the foil surface in constructing theoretical electron micrographs

Cited by 3 publications

References 6 publications

Elastic fields of a dislocation inclined to a free surface

Elastic fields of a dislocation inclined to a free surface

Effects of free surface on the electron-microscopic contrast of prismatic dislocation loops

Connection of prismatic dislocation loop sizes and interference errorS with the techniques of determining the loop nature

Contact Info

Product

Resources

About