论文标题
随机PEIERLS-NABARRO模型，用于高熵合金中的位错
Stochastic Peierls-Nabarro Model for Dislocations in High Entropy Alloys
论文作者
论文摘要
高熵合金（HEAS）是单相晶体，由大约相等比例的多个元素的随机固体溶液组成。这类新型材料已经表现出极佳的机械性能，例如高强度以及其他所需的特征。晶体材料的强度与位错运动有关。在本文中，我们从均匀的原子模型中的双层中的PEIERLS-NABARRO框架中得出了一个随机连续模型，该模型在双层模型中用于结合原子水平随机性的原子模型。我们使用渐近分析并限制从原子模型到连续模型的收敛性定理。连续模型中的总能量由两层中的随机弹性能以及造成层间非线性相互作用的随机失误能量。获得的连续模型可以被视为对于错位核心和相关特性的经典，确定性的PEIERLS-NABARRO模型的随机概括。该推导还验证了Zhang等人采用的随机模型。 （Acta Mater。166，424-434，2019）。
High entropy alloys (HEAs) are single phase crystals that consist of random solid solutions of multiple elements in approximately equal proportions. This class of novel materials have exhibited superb mechanical properties, such as high strength combined with other desired features. The strength of crystalline materials is associated with the motion of dislocations. In this paper, we derive a stochastic continuum model based on the Peierls-Nabarro framework for inter-layer dislocations in a bilayer HEA from an atomistic model that incorporates the atomic level randomness. We use asymptotic analysis and limit theorem in the convergence from the atomistic model to the continuum model. The total energy in the continuum model consists of a stochastic elastic energy in the two layers, and a stochastic misfit energy that accounts for the inter-layer nonlinear interaction. The obtained continuum model can be considered as a stochastic generalization of the classical, deterministic Peierls-Nabarro model for the dislocation core and related properties. This derivation also validates the stochastic model adopted by Zhang et al. (Acta Mater. 166, 424-434, 2019).
