裂纹尖端塑性的原子模型
Atomistic modelling of near-crack-tip plasticity
摘要：
本文建立了正方形网格上反平面剪切运动学下裂纹尖端塑性问题的原子模型。该模型是基于一个新的几何和功能框架的网格流形复杂的，它确保了裂纹表面被充分考虑，同时保留了重要的概念的对偶性。其结果是，存在的局部稳定的平衡配置包含裂纹开口和位错成立。值得注意的是，考虑到裂纹表面形式的边界，不需要位错核与裂纹表面或裂纹尖端之间的最小分离。这里提出的工作构成了几个进一步的研究，旨在把近裂纹尖端塑性现象的一个严格的基础上的基础。
英文摘要：
An atomistic model of near-crack-tip plasticity on a square lattice under anti-plane shear kinematics is formulated and studied. The model is based upon a new geometric and functional framework of a lattice manifold complex, which ensures that the crack surface is fully taken into account, while preserving the crucial notion of duality. As a result, existence of locally stable equilibrium configurations containing both a crack opening and dislocations is established. Notably, with the boundary in the form of a crack surface accounted for, no minimum separation between a dislocation core and the crack surface or the crack tip is required. The work presented here constitutes a foundation for several further studies aiming to put the phenomenon of near-crack-tip plasticity on a rigorous footing.
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