论文标题
脱位线张力的非线性三维推导：二次生长
Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth
论文作者
论文摘要
在本文中，我们得出了一个线张力模型，用于从几何非线性弹性能开始具有二次生长的几何非线性弹性能。在渐近分析中，由于汉堡矢量的振幅（与晶格间距成正比）倾向于零，我们表明弹性能量线性和线张力能量密度，直至总体恒定旋转，由[17]中给出的线性化细胞问题公式确定。
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].
