Original entry by Joerg Fritz, AP225 Fall 2009
J.M. Skotheim and L. Mahadevan: Physical Review Letters, 2004, 92, pp 245509-1 to 245509-4
Nature is full of examples for soft lubrication. From the ejection of fungal spores over the flow of red blood cells in arteries to the movement of joints, the concept of reducing wear and adhesion between two surfaces with a thin film of water is ubiquitous. This gives rise to a very interesting problem that couples fluid mechanics and the elasticity of soft (e.g. biological) materials. This paper examines a model problem for symmetric nonconforming where a thin elastic layer covers one or both surfaces moving tangentially to each other. The main result is that there exists an optimal combination of material and geometric properties which maximizes the normal force.
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