We propose a new conceptual approach to reach unattained dissipative properties based on the friction of slender concentric sliding columns. We begin by searching for the optimal topology in the simplest telescopic system of two concentric columns. Interestingly, we obtain that the optimal shape parameters are material independent and scale invariant. Based on a multiscale self-similar reconstruction, we end-up with a theoretical optimal fractal limit system whose cross section resembles the classical Sierpiński triangle. Our optimal construction is finally completed by considering the possibility of a complete plane tessellation. The direct comparison of the dissipation per unit volume $\delta$ with the material dissipation up to the elastic limit ${\delta }_{el}$ shows a great advantage: $\delta \sim 2000{\delta }_{el}$. Such result is already attained for a realistic case of three only scales of refinement leading almost (96%) the same dissipation of the fractal limit. We also show the possibility of easy recovering of the original configuration after dissipation and we believe that our schematic system can have interesting reliable applications in different technological fields.

Interestingly, our multiscale dissipative mechanism is reminiscent of similar strategies observed in nature as a result of bioadaptation such as in the archetypical cases of bone, nacre and spider silk. Even though other phenomena such as inelastic behavior and full tridimensional optimization are surely important in such biological systems, we believe that the suggested dissipation mechanism and scale invariance properties can give insight also in the hierarchical structures observed in important biological examples.

我们提出了一种新的概念方法，以基于细长同心滑动柱的摩擦力来达到未达到的耗散特性。我们首先在两个同心柱的最简单的伸缩系统中寻找最佳拓扑。有趣的是，我们发现最佳形状参数与材料无关且尺度不变。基于多尺度自相似重建，我们最终得到了一个理论最优分形极限系统，其横截面类似于经典的谢尔宾斯基三角形。通过考虑完整平面细分的可能性，最终完成了我们的优化构造。单位体积耗散量的直接比较$\delta$材料耗散达到弹性极限${\delta }_{el}$显示出很大的优势：$\delta ～2000{\delta }_{el}$. 对于仅三个细化尺度的实际情况，已经获得了这样的结果，导致几乎（96％）相同的分形极限消散。我们还展示了在耗散后轻松恢复原始配置的可能性，我们相信我们的原理图系统可以在不同的技术领域具有有趣的可靠应用。

有趣的是，我们的多尺度耗散机制让人想起在自然界中观察到的类似策略，这是生物适应的结果，例如在骨骼、珍珠层和蜘蛛丝的原型案例中。尽管非弹性行为和全三维优化等其他现象在此类生物系统中肯定很重要，但我们相信所建议的耗散机制和尺度不变性也可以洞察重要生物示例中观察到的层次结构。