AI 中文总结
研究位错环阵列相互作用能在晶格间距与位错环直径趋于零时的极限，基于伯格斯矢量等的弱极限及H-测度、Wigner测度推导总相互作用能极限公式。
AI 中文摘要
我们考虑放置在均匀化晶格上的位错环阵列的相互作用能之和，其中晶格间距和位错环直径趋于零。在适当的充分分离和L²有界性假设下，我们依据相关伯格斯矢量与定向表面积的弱极限、生成的H-测度和生成的维格纳测度，推导了总相互作用能极限的公式。
英文摘要
We consider the sum of interaction energies of an array of dislocation loops placed on a homogenization lattice as the lattice spacing and diameter of the loops tend to zero. Under suitable well-separation and L2 -boundedness assumptions, a formula for the limit of the total interaction energy is derived in terms of the weak limit, the generated H-measure and the generated Wigner measure of the associated Burgers vectors and oriented surface areas.
