标题： 无速率依赖的滞后能量耗散在胶原纤维中 显示英文标题

标题： Rate-independent hysteretic energy dissipation in collagen fibrils

摘要： 在水合胶原纤维上使用原子力显微镜进行的纳米压入循环显示出与速率无关的滞后效应和返回点记忆。 这种以前未知的能量耗散机制以统一的形式描述了弹性塑性压入、毛细粘附和表面平整化，当压入速度小于 1 $\mu$m s$^{-1}$时，粘性摩擦可以忽略不计。 一个通用的滞后模型，基于一次大范围接近-回撤循环期间测得的力-距离数据，可以预测任意压入轨迹（输入）的力（输出）和耗散能量。 尽管这两个量都与速率无关，但它们却非线性地依赖于压入历史和压入幅度。 显示英文摘要

摘要： Nanoindentation cycles measured with an atomic force microscope on hydrated collagen fibrils exhibit a rate-independent hysteresis with return point memory. This previously unknown energy dissipation mechanism describes in unified form elastoplastic indentation, capillary adhesion, and surface leveling at indentation velocities smaller than 1 $\mu$m s$^{-1}$, where viscous friction is negligible. A generic hysteresis model, based on force-distance data measured during one large approach-retract cycle, predicts the force (output) and the dissipated energy for arbitrary indentation trajectories (input). While both quantities are rate independent, they do depend nonlinearly on indentation history and on indentation amplitude.