隔页书中附着力的非线性放大
Nonlinear amplification of adhesion forces in interleaved books
摘要：
两个交错的电话簿几乎不可能通过拉动它们的脊柱来分开。由组件的外部片材施加的非常轻微的力被放大为片材数量的平方的指数，从而导致即使具有少量片材也具有高抵抗力的系统。本文系统而详细地研究了法向外力和小册子几何参数对装配强度的影响。我们得出结论，两个外部片材之间的纸-纸粘附力，在几mN的数量级上，是由两个交错系统放大的力。两本电话簿实验作为摩擦强度的一个杰出证明，吸引了全世界学生和非科学公众的注意，似乎也是微观摩擦-粘附耦合的一个壮观的宏观表现。
英文摘要：
Two interleaved phonebooks are nearly impossible to separate by pulling their spines. The very slight force exerted by the outer sheets of the assembly is amplified as the exponential of the square of the number of sheets, leading to a highly-resistant system even with a small number of sheets. We present a systematic and detailed study of the influences of the normal external force and the geometrical parameters of the booklets on the assembly strength. We conclude that the paper-paper adhesion force between the two outer sheets, on the order of a few mN, is the one that is amplified by the two interleaved system. The two-phonebooks experiment that has attracted the attention of students and non-scientific public all around the world as an outstanding demonstration of the strength of friction appears to be as well a spectacular macroscopic manifestation of the microscopic friction-adhesion coupling.
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