| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Analogies between a Meniscus and a Cantilever |
| LIU Jian-Lin |
| Department of Engineering Mechanics, China University of Petroleum, Qingdao 266555 |
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LIU Jian-Lin 2009 Chin. Phys. Lett. 26 116803 |
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Abstract Systematic and quantitative analyses of exact analogies between a meniscus and an elastica are performed. It is shown that the two governing equations take the same style after coordinate translation and scale transformation. The morphologies of the liquid bridge and the cantilever are calculated in terms of elliptic integrations, which can be reduced to the same shape after converting the boundary conditions. The present analyses can make us grasp the nature of this physical phenomenon deeply and show some inspiration for designing the analogy experiments. Moreover, the calculated results are helpful to engineering applications, such as design and fabrication of MEMS, and micro-manipulations in micro/nano- technology.
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| Keywords:
68.03.Cd
46.70.De
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Received: 08 June 2009
Published: 30 October 2009
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| PACS: |
68.03.Cd
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(Surface tension and related phenomena)
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46.70.De
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(Beams, plates, and shells)
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