原始微晶的不连续产出
Discontinuous yielding of pristine micro-crystals
摘要：
我们研究了均匀剪切下无位错的2D晶体的力学响应，使用一种新的介观方法晶体塑性，朗道型理论，占应变张量空间中的能量的全局不变性，而操作与无限数量的等效能量阱。这种方法的优点是，它消除了任意性，在处理所涉及的拓扑转变，例如，在位错的成核和湮灭。我们使用原始微晶的不连续屈服作为新理论的基准问题，并表明灾难性的不稳定性的性质，这在这种设置中不可避免地遵循标准仿射响应，不仅取决于晶格对称性，而且还取决于加载装置中晶体的取向。随后的位错雪崩涉及合作位错成核，导致在形成复杂的微观结构控制的非平凡的自诱导耦合不同的塑性机制。
英文摘要：
We study the mechanical response of a dislocation-free 2D crystal under homogenous shear using a new mesoscopic approach to crystal plasticity, a Landau-type theory, accounting for the global invariance of the energy in the space of strain tensors while operating with an infinite number of equivalent energy wells. The advantage of this approach is that it eliminates arbitrariness in dealing with topological transitions involved, for instance, in nucleation and annihilation of dislocations. We use discontinuous yielding of pristine micro-crystals as a benchmark problem for the new theory and show that the nature of the catastrophic instability, which in this setting inevitably follows the standard affine response, depends not only on lattice symmetry but also on the orientation of the crystal in the loading device. The ensuing dislocation avalanche involves cooperative dislocation nucleation, resulting in the formation of complex microstructures controlled by a nontrivial self-induced coupling between different plastic mechanisms.
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