AI 中文总结
研究生长的粘弹塑性棒，发现重塑在形状复杂性和可重复性间有权衡，存在最优塑性保护初始模式，生长能打破此权衡，确定重塑和生长速率是控制编码模式走向的关键因素。
AI 中文摘要
机械不稳定性为发育器官的塑形和工程软材料提供了一种通用设计原则。然而，在细长结构中，简单的弹性屈曲往往会消除而非保留形状复杂性。生物系统却能从不断重塑的材料构建出复杂、可重复的形态，同时对跨尺度产生的噪声保持稳健。通过对生长的粘弹塑性棒的最小模型进行分析理论和数值模拟，我们表明重塑起到两个相反作用：低塑性时，模式通过弹性松弛粗化，高塑性时将波动转化为几何无序。这在形状复杂性和可重复性之间设定了权衡，存在最优中间塑性保护初始模式。生长通过抑制两种失效模式打破这种权衡，使复杂形状能被可重复生成。我们的结果确定重塑和生长速率是控制编码模式被记住、退化或转变的两个关键因素。
英文摘要
Mechanical instabilities provide a general design principle for shaping developing organs and engineering soft materials. However, in slender structures, simple elastic buckling tends to erase rather than preserve shape complexity: structures relax to the simplest possible shape, erasing finer detail. Living systems nonetheless build complex, reproducible morphologies from continually remodeling material, while remaining robust to noise arising across scales. Using analytical theory and numerical simulations of a minimal model of growing visco-elasto-plastic rods, we show that remodeling plays two opposing roles: At low plasticity, patterns coarsen through elastic relaxation, while high plasticity converts fluctuations into geometric disorder. This sets a trade-off between shape complexity and reproducibility with an optimal intermediate plasticity, which protects initial patterns. Growth breaks this trade-off by suppressing both failure modes, enabling complex shapes to be reproducibly generated. Our results identify remodeling and growth rates as two knobs governing whether an encoded pattern is remembered, degraded, or transformed.
Comments6+11 pages, 3+5 figures
