扭杆中位错的分布
Distribution of dislocations in twisted bars
摘要：
本文提出了单晶杆扭转问题的渐近精确连续位错理论。在零扭矩条件下，能量最小的位错分布是均匀的。如果所施加的扭矩是非零的，则最小化器在杆的横截面的外环处呈现出无位错区。在给定的扭矩下，发现了平衡位错的不均匀分布以及单位长度上的扭转角。在考虑能量耗散的情况下，存在一个弹性核心区，而位错则集中在两个无位错区之间的一个环中。这导致应力分布的变化，增加了扭矩的临界阈值。
英文摘要：
An asymptotically exact continuum dislocation theory of single crystal bars under torsion is proposed. The dislocation distribution minimizing energy of the bar with zero torque is shown to be uniform. If the applied torque is non-zero, the minimizer exhibits a dislocation-free zone at the outer ring of the bar's cross-section. The non-uniform distribution of dislocations in equilibrium as well as the twist angle per unit length are found in terms of the given torque. With the energy dissipation being taken into account, there exists an elastic core region, while dislocation are concentrated in a ring between two dislocation-free zones. This leads to the change of the stress distribution increasing the critical threshold of the torque.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
