The quasicontinuum (QC) method is a concurrent multiscale approach in which lattice models are fully resolved in small regions of interest and coarse‐grained elsewhere. Since the method was originally proposed to accelerate atomistic lattice simulations, its refinement criteria—that drive refining coarse‐grained regions and/or increasing fully‐resolved regions—are generally associated with quantities relevant to the atomistic scale. In this contribution, a new refinement indicator is presented, based on the energies of dedicated cells at coarse‐grained domain surfaces. This indicator is incorporated in an adaptive scheme of a generalization of the QC method able to consider periodic representative volume elements, like the ones employed in most computational homogenization approaches. However, this indicator can also be used for conventional QC frameworks. Illustrative numerical examples of elastic indentation and scratch of different lattices demonstrate the capabilities of the refinement indicator and its impact on adaptive QC simulations.

中文翻译：

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结构格自适应准连续谱方法的细化指标

准连续谱（QC）方法是一种并行多尺度方法，其中，在感兴趣的小区域内完全解析了晶格模型，而在其他地方则采用了粗粒度模型。由于该方法最初是为加速原子晶格模拟而提出的，因此其细化标准（驱动细化粗粒区域和/或增加完全分解的区域）通常与与原子尺度相关的量相关联。在此贡献中，提出了一种新的细化指标，该指标基于粗粒度畴表面上专用单元的能量。该指标被并入QC方法通用化的自适应方案中，该方案能够考虑周期性的代表性体积元素，就像大多数计算均质化方法中所采用的元素一样。然而，该指标也可用于常规质量控制框架。不同晶格的弹性压痕和划痕的数值示例说明了精化指标的功能及其对自适应QC模拟的影响。