On the role of capillary instabilities in the sandcastle effect

Physics

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Scientific paper

Using acoustic resonators, we have investigated the mechanical stiffness of contacts between rough surfaces. In the first part, the underlying acoustic model is validated with experiments showing a transition from elastic to inertial loading. The second part is concerned with the increase in contact stiffness induced by transient exposure to a humid environment. A novel mode of surface deformation is proposed, which builds on a capillary instability. Under certain conditions, a slight decrease in the mean distance between the two surfaces may induce a rather strong increase in capillary attraction, while leaving the elastic forces of repulsion almost constant. The thus-created negative differential spring constant induces a collapse of the gap in-between neighboring load-bearing asperities. The initial decrease in distance may either be induced by local asperity creep or by distortions of the contacting surfaces on a larger scale, which improve the interlock of the asperities at a small cost of strain energy.

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