arXiv:2607.14475cs.CEcs.LG2026-07

用单样本训练生成随机超材料,实现自组织结构设计。

One-Shot Generative Design for Disordered Metamaterials via Self-Organizing Neural Cellular Automata

论文配图:One-Shot Generative Design for Disordered Metamaterials via Self-Organizing Neural Cellular Automata
图 1 · 摘自论文原文
  • 基于神经元胞自动机,通过局部规则动态生长复杂结构。
  • 仅需一个模板即可生成多样结构,支持任意域和离散化。
  • 可控制方向性、各向异性等特性,适合生物植入与软体机器人。

无序超材料具有内在随机性和不规则性微结构,能覆盖更广的性能范围并实现常规材料无法达到的优异性能。然而,其设计难度远高于规则结构。当前方法受限于人工参数化表达能力弱,或生成式AI依赖大量数据且泛化能力差。为此,我们提出一种基于神经元胞自动机的生成设计框架,通过学习局部交互规则实现复杂微结构的动态生长,类比自然材料的自组织过程。该框架仅需单一训练模板,即可适应多样化无序结构,支持不规则域与任意离散化。通过调控学习到的局部规则,可在不重新训练的情况下引导生长过程,生成训练中未见的结构,实现对取向、各向异性和方向厚度的灵活控制。作为动态局部生长过程,它天然生成空间变化的微结构,平滑过渡以实现位置特异性力学性能。我们在多尺度力学隐身设计中验证了这一点,微结构随空间变化以满足优化后的非均匀性能分布。该设计无需复杂后处理,也避免了现有方法中装配不兼容问题。这一数据高效、可泛化的方案为此前难以实现的无序材料在生物植入与软体机器人中的应用打开了新路径。

原文摘要 · Abstract (English)

Disordered metamaterials feature microstructures with inherent randomness and irregularity, enabling them to achieve broader property coverage and superior performance unavailable in their regular counterparts. Despite their promise, designing disordered microstructures is substantially harder than designing regular ones. Their design remains trapped between manual parameterizations with limited expressiveness, and generative AI that is data-hungry and struggles to generalize. To address these limitations, we propose a generative design framework based on Neural Cellular Automata that dynamically grows complex microstructures through learned local interaction rules, inspired by the self-organizing processes in natural materials. This framework requires only a single training template, yet accommodates diverse disordered microstructures and adapts to irregular domains and arbitrary discretizations. By manipulating the learned local rules, we can steer the growth process to generate microstructures unseen during training, providing control over orientation, anisotropy, and directional thickness without retraining. As a dynamic, local growth process, it naturally produces spatially varying microstructures that transition smoothly to enable location-specific mechanical properties. We demonstrate this in a multiscale mechanical cloaking design, where microstructures vary across the space to meet an optimized heterogeneous property distribution. Our design enables excellent cloaking performance without complicated post-processing and incompatible assembly common in existing methods. This data-efficient, generalizable approach opens access to previously intractable disordered materials for biomedical implants and soft robotics.

超材料生成设计神经元胞自动机自组织

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