位错线张力的非线性三维推导：二次增长
Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth
摘要：
本文从几何非线性弹性能量的二次增长出发，导出了三维位错的线张力模型。在渐近分析中，当Burgers向量的振幅（与晶格间距成比例）趋于零时，我们表明弹性能量线性化，线张力能量密度，直到整体恒定旋转，由[17]中给出的线性化单元问题公式确定。
英文摘要：
In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the amplitude of the Burgers vectors (proportional to the lattice spacing) tends to zero, we show that the elastic energy linearises and the line tension energy density, up to an overall constant rotation, is identified by the linearised cell problem formula given in [17].
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