Variation of the Elastic Moduli at the Superconducting Transition

Alers, G. A.; Waldorf, D.

doi:10.1147/rd.61.0089

Cited by 43 publications

(6 citation statements)

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“…This also includes, however, the variation of the ®rst order coe cients a ij , b ij with temperature. Alers and Waldorf (1962) give (¯C ijkl ) as a function of temperature and it seems reasonable to assume that, as previously, the temperature dependence is still given predominantly by (1 ¡ t 2 ) with a correction factor (c ‡ dt 2 ). suggests an overall variation (1 ¡ t 2 † 3=2 for niobium.…”

Section: Vˆ¯·°°vˆ3mentioning

confidence: 92%

“…suggests an overall variation (1 ¡ t 2 † 3=2 for niobium. This variation does not ®t available experimental measurements (Alers and Waldorf 1961, 1962, Kramer and Bauer 1967b, although it would presumably be possible for the (1 ¡ t 2 ) variation of a ij , b ij to modify a rather di erent variation of the a ijkl , b ijkl in equation (7.48). We must conclude that the relative magnitudes of the ®rst-and second-order coe cients for niobium are still very uncertain.…”

Section: Vˆ¯·°°vˆ3mentioning

confidence: 97%

“…These results indicate that the secondorder coe cients are about the same size or larger than a ij and b ij . Alers andWaldorf (1961, 1962) and Alers (1964) use the change in the velocity of sound to deduce the change in elastic constants for Pb, V, Nb and Pb±Tl. Labusch (1968) uses these results to estimate some combinations of the coe cients for Pb±Tl alloys.…”

Section: Vˆ¯·°°vˆ3mentioning

confidence: 99%

See 2 more Smart Citations

Flux vortices and transport currents in type II superconductors

Campbell¹,

Evetts²

2001

Advances in Physics

108

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Section: Vˆ¯·°°vˆ3mentioning

confidence: 92%

Section: Vˆ¯·°°vˆ3mentioning

confidence: 97%

Section: Vˆ¯·°°vˆ3mentioning

confidence: 99%

See 1 more Smart Citation

Flux vortices and transport currents in type II superconductors

Campbell¹,

Evetts²

2001

Advances in Physics

108

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“…The change in elastic constants was measured for Nb, V, Pb and Pb alloys [65] and is of the order 10 to 100 ppm. In an isotropic material S44 = 1/G where G is the shear modulus.…”

Section: Jmentioning

confidence: 99%

The Influence of Dislocations on Superconductivity

Gurp

Ooijen

1966

J. Phys. Colloques

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RBsumB.-L'article passe en revue les effets des dislocations sur les propriktks des supraconducteurs. On ktablit une distinction entre les effets du libre parcours moyen et les effets hors d'kquilibre. Les premiers donnent lieu & une diminution ou & une augmentation de la tedpQature critique, selon l'ampleur de l'anisotropie du (c gap n d'knergie ou des contraintes internes prksentes dans le supraconducteur. Un autre effet du libre parcours moyen est l'augmentation des champs critiques superieurs. Des effets hors d'kquilibre sont engendr6s dans un champ magnktique par l'interaction entre let. dkfauts et les lignes de force dans l'6tat mixte du supraconducteur de deuxieme espkce. Les lignes de force peuvent dtre bloquks aux dkfauts de structure dans le supraconducteur. L'article expose les propriktks de ce blocage pour trois types de structures : 1) une rkpartition uniforme des dislocations, 2) une rkpartition hetkrogene, comme dans le cas des parois de polygonisation ou d'une structure cellulaire et 3) d'importantes heterog6nCitks bidimensionnelles comme dans les structures fibreuses ou les joints de grains. Les auteurs sont d'avis que le blocage croft en importance dans cet ordre.

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“…AVjV relative change of the specific volume due to the phase transition below the transition temperature T, [ 5 ] , S tensor of the elastic compliance constants, AE change of the elastic constants [6], d tensor of the third order elastic constants…”

Section: Introduction and Theoretical Backgroundmentioning

confidence: 99%

The Interaction between s‐n‐Domain Walls and Lattice Defects in Type‐I Superconductors

Riedel

Kronmüller

1974

Physica Status Solidi (b)

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The interaction between crystal dislocations and s-n-walls in type-I superconductors is treated on the basis of the micromagnetic equations of superconductors. The elastic properties of the s-n-walls are described by quasi-dislocations and the interaction force with the dislocations is derived from a generalized Peach-Koehler formula. A statistical analysis of the total force exerted by randomly distributed dislocations on s-n-walls yields characteristic differences between the A V-effect and the nonlinear elastic effects (AE-, P-effect) concerning the mean wavelength of the field of force and the dependence on the dislocation density. The relative changes of the magnetization curve caused by wall pinning due to dislocations are shown to amount to 5 to 15% for large plastic deformations.Die elastische Wechselwirkung zwischen Kristallversetzungen und s-n-Domanenwanden in Supraleitern 1. Art wird einheitlich mit Hilfe der mikromagnetisehen Gleichungen dcr Supraleiter behandelt. Die Domanenwande werden hinsichtlich ihrer elastischen Eigenschaften durch Quasiversetzungen beschrieben. Die Wechselwirkungskraft mit den Versetzungen ergibt sich aus einer verallgemeinerten Peach-Koehler-Formel. Eine statistische Analyse der Cesamtkraft, die von zufallig angeordneten Versetzungen auf Domanenwande ausgeubt wird, ergibt charakteristische Unterschiede zwischen dem A V-Effekt und den nicht linearen elastischen Effekten (AE-, P-Effekt) hinsichtlich der mittleten Wellenlange des Kraftfeldes und der Abhangigkeit von der Versetzungsdichte. Die relative Anderung der Magnetisierungskurve durch Wand-pinning an Versetzungen wird berechnet ; sie liegt bei starker plastischer Verformung zwischen 5 und 15%.

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Variation of the Elastic Moduli at the Superconducting Transition

Cited by 43 publications

References 1 publication

Flux vortices and transport currents in type II superconductors

Flux vortices and transport currents in type II superconductors

The Influence of Dislocations on Superconductivity

The Interaction between s‐n‐Domain Walls and Lattice Defects in Type‐I Superconductors

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