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Abstract

The problem of fabrication of the oxide superconductors with high structure sensitive properties suggests as one from primary tasks a design and creation of property monitoring of the HTSC ceramics and composites(For non-cubic Al2O3 ceramic, a numerical scheme of the monitoring has been realized in [1303].). This includes (i) observation and modeling of microstructure transformations, causing formation (during processing) and change (during loading) of the material fracture resistance that renders defining influence on superconducting properties; (ii) estimation of change of the microstructure, strength and conducting properties under different loading; and (iii) property prognosis of final product, depending on the sample composition, parameters and features of processing technique.

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Notes

  1. 1.

    For non-cubic Al2O3 ceramic, a numerical scheme of the monitoring has been realized in [1303].

  2. 2.

    At relatively badly coupled structure of grains, magnetic flux can penetrate intergranular boundaries and trap pores or secondary phases. This non-superconducting volume will be effectively screened in the sample with better intercrystalline properties, and corresponding fraction of superconducting volume will be enhanced.

  3. 3.

    The inability of a pore with ψ ∼ π to exhibit steady-state motion implies that such pores will always detach from grain boundaries. This is intuitively clear because when ψ = π, the grain boundary energy is zero (surface energies are always finite) and there is no preference for pores to locate on grain boundaries.

  4. 4.

    Other configurations, such as several pores on single grain boundary, will provide different separation conditions. However, these separation events usually occur after the first separations have been induced and are, probably, less critical. For example, a modified phenomenological analysis with a pore ~ R gives the two limiting cases [716]: \( R\, \le \,{{2M_{b} kT\gamma_{b} a_{0}^{3} } \mathord{\left/ {\vphantom {{2M_{b} kT\gamma_{b} a_{0}^{3} } {D_{s} \delta_{s} \gamma_{s} \Upomega^{1/3} }}} \right. \kern-0pt} {D_{s} \delta_{s} \gamma_{s} \Upomega^{1/3} }}\left( {17.9\, - \,6.2\psi } \right) \), and \( R\, \ge \,\delta_{s} \gamma_{s} \Upomega^{1/3} \left( {17.9\, - \,6.2\psi } \right)/2\gamma_{b} a_{0} \).

  5. 5.

    The variation takes place on a scale much less than the structuring of the substrate.

  6. 6.

    Similar numerical algorithm may be applied to modeling of microcracking processes during cooling of oxide superconductor from room temperature down to cryogenic one its application.

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Correspondence to I. A. Parinov .

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© 2012 Springer-Verlag Berlin Heidelberg

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Parinov, I.A. (2012). General Aspects of HTSC Modeling. In: Microstructure and Properties of High-Temperature Superconductors. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34441-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-34441-1_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34440-4

  • Online ISBN: 978-3-642-34441-1

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