Abstract In this study we reproduced the experimentally established micro-structure of a, Fe-15Mn-10Al-0.8C-5Ni, low density steel into a representative volume element (RVE), i.e. the smallest representative feature on which measurement can be made to yield a value representative of the whole structure. The pertinent structural parts were split into, an austenite (γ) phase, micro-meter sized B2 precipitates located inside γ and a composite ferrite(α)+nano-sized B2 “phase”. We simulated the mechanical elastoplastic response of each of these parts through J2 deformation theory of plasticity. The equivalent inclusion method and mean field approach were employed to describe the behaviour or precipitates. The simulated composite mechanical response was in good agreement with those measured through tensile tests. The simulated responses suggests that the type of chosen boundary condition affects the development of shear strain localization. It was found that in those γ grains located between any closely spaced composite α+B2 the strain localization is pronounced. In addition, inhomogeneity between phases led to stress concentration which in turn intensified the localization.

中文翻译：

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B2有序析出相双相低密度钢多尺度微观力学模型

摘要 在这项研究中，我们将实验建立的 Fe-15Mn-10Al-0.8C-5Ni 低密度钢的微观结构复制到代表性体积元素 (RVE)，即可以对其进行测量的最小代表性特征产生一个代表整个结构的值。相关的结构部分被分成奥氏体 (γ) 相、位于 γ 内部的微米级 B2 析出物和复合铁素体 (α)+纳米级 B2“相”。我们通过塑性的 J2 变形理论模拟了每个部件的机械弹塑性响应。等效夹杂法和平均场法被用来描述行为或沉淀。模拟的复合材料机械响应与通过拉伸试验测量的那些非常一致。模拟响应表明，所选边界条件的类型会影响剪切应变局部化的发展。发现在位于任何紧密间隔的复合材料 α+B2 之间的那些 γ 晶粒中，应变局部化是明显的。此外，相之间的不均匀性导致应力集中，从而加剧了局部化。