论文标题

改善了从粘弹性底物的球体拉的近似近似解决方案

Improved Muller approximate solution of the pull-off of a sphere from a viscoelastic substrate

论文作者

Ciavarella, M.

论文摘要

从粘弹性底物脱离球体显然是一个基本问题。在这种情况下,粘弹性耗散集中在接触边缘,粘附的工作遵循一个非常流行的简化模型,穆勒提出了一个近似的解决方案,但是该解决方案基于经验观察。我们重新审视Muller的解决方案,并表明它导致实际的完整数值结果非常差,尤其是对于拉力时的接触半径而言,我们建议提高拉力的拟合,这在非常宽的撤回速度上非常有效,并且在很低的速度速度下正确地收敛到JKR值。

The detachment of a sphere from a viscoelastic substrate is clearly a fundamental problem. In the case viscoelastic dissipation is concentrated at the contact edge, and the work of adhesion follows a quite popular simplified model, Muller has suggested an approximate solution, which however is based on an empirical observation. We revisit Muller's solution and show it leads to very poor fitting of the actual full numerical results, particularly for the radius of contact at pull-off, and we suggest an improved fitting of the pull-off which works extremely well over a very wide range of withdrawing speeds, and correctly converges to the JKR value at very low speeds.

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