Capillary adhesion of micro-beams: finite and infinitesimal deformation analysis
Carbon nanotube (CNT) forests and some other micro- and nano-fibrils are often adhered by the Capillary force, which can drive the arrays to self-assemble and reorganize into special patterns. In this process, the surface energy and the strain energy are competing with each other, leading to an equilibrium state. But the deformation of the CNTs is very large, so the theory of finite deformation is adopted to analyze this problem exhaustively. A simple model is constructed to calculate the related parameters of adhesion, such as the adhered length and the slope angle of the CNT. From the viewpoint of energy variation, the governing equations of finite deformation are derived. Then the transversality condition dealing with moving boundary conditions is obtained, which denotes the balance of the surface energy and the strain energy. Finally, the distance of the two beams and the adhered length are expressed by means of elliptic integrals. And the deflections of the two CNTs may be integrated numerically directly. The results of finite deformation and infinitesimal model are compared quantitatively, indicating that finite deformation is more rigorous.
Jian-lin Liu Xi-qiao Feng
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
204-211
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）