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In this chapter, based on material parameters for \(\text {BaTiO}_{3}\) , we provide estimates for the process zone generated by a single dislocation and by a dislocation wall. As in the previous chapter, we estimate key geometric characteristics, including the natural scale of the zone, its size, the length of the wake, the temperature intervals of the zone’s existence, and the critical velocity. In addition, we examine key energetic and mechanical characteristics, including the plastic factor, the stress generated by energy dissipation in the zone relative to the Peierls–Nabarro stress, and the velocity at which these stresses become equal.

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Numerical Estimates of the Zone’s Key Parameters

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  • 发表日期：

    2026年

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  • Alexei Boulbitch,
  • Alexander Korzhenevskii

摘要

In this chapter, based on material parameters for \(\text {BaTiO}_{3}\) , we provide estimates for the process zone generated by a single dislocation and by a dislocation wall. As in the previous chapter, we estimate key geometric characteristics, including the natural scale of the zone, its size, the length of the wake, the temperature intervals of the zone’s existence, and the critical velocity. In addition, we examine key energetic and mechanical characteristics, including the plastic factor, the stress generated by energy dissipation in the zone relative to the Peierls–Nabarro stress, and the velocity at which these stresses become equal.