Capillary adhesion model for contacting micromachined surfaces

A capillary adhesion model for contacting micromachined surfaces is presented. It is found that the effect of plasticity is small while that of surface correlations and disjoining pressure are important. By matching the model to experimental results, we extract the thickness of the disjoining layer vs. relative humidity (RH) and compare it to reported values. The extracted thickness is smaller than those in the literature, which may explain why capillarity effects occur only at relatively high RH in the experiments.

[1]  J. H. Cushman,et al.  Capillary Condensation and Snap-off in Nanoscale Contacts , 2001 .

[2]  Seong H. Kim,et al.  Evolution of the adsorbed water layer structure on silicon oxide at room temperature. , 2005, The journal of physical chemistry. B.

[3]  K. Kendall,et al.  Surface energy and the contact of elastic solids , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  I. Etsion,et al.  UNLOADING OF AN ELASTIC-PLASTIC LOADED SPHERICAL CONTACT , 2005 .

[5]  Hertz On the Contact of Elastic Solids , 1882 .

[6]  A. Adamson Physical chemistry of surfaces , 1960 .

[7]  George M. Whitesides,et al.  Surface tension-powered self-assembly of microstructures - the state-of-the-art , 2003 .

[8]  S. T. Picraux,et al.  The broad sweep of integrated microsystems , 1998 .

[9]  M. Dunn,et al.  The role of van der Waals forces in adhesion of micromachined surfaces , 2005, Nature materials.

[10]  G. Pharr,et al.  Hysteresis and discontinuity in the indentation load-displacement behavior of silicon , 1989 .

[11]  Kamran Mohseni,et al.  Fabrication of tapered SU-8 structure and effect of sidewall angle for a variable focus microlens using EWOD , 2007 .

[12]  J. Sniegowski,et al.  IC-Compatible Polysilicon Surface Micromachining , 2000 .

[13]  C. DeWolf,et al.  Monolayer behavior of 1,2-dipalmitoylgalloylglycerol, a synthetic lipid with strong cohesive properties. , 2004, Langmuir : the ACS journal of surfaces and colloids.

[14]  L. Kogut,et al.  Elastic-Plastic Contact Analysis of a Sphere and a Rigid Flat , 2002 .

[15]  B. V. Derjaguin,et al.  Effect of contact deformations on the adhesion of particles , 1975 .

[16]  R. Maboudian Surface processes in MEMS technology , 1998 .

[17]  M. P. Boer,et al.  Thermodynamics of capillary adhesion between rough surfaces. , 2007 .

[18]  L. White,et al.  Contact elasticity in the presence of capillary condensation , 1990 .

[19]  J. Israelachvili Intermolecular and surface forces , 1985 .

[20]  A. Anandarajah,et al.  Single correction function for computing retarded van der Waals attraction , 1995 .

[21]  M. P. Boer Capillary Adhesion Between Elastically Hard Rough Surfaces , 2007 .

[22]  C. Mathew Mate,et al.  Application of disjoining and capillary pressure to liquid lubricant films in magnetic recording , 1992 .

[23]  R. Fair,et al.  Electrowetting-based actuation of liquid droplets for microfluidic applications , 2000 .

[24]  S. Marčelja,et al.  Repulsion of interfaces due to boundary water , 1976 .

[25]  C. Hsu,et al.  Mechanical stability and adhesion of microstructures under capillary forces. I. Basic theory , 1993 .

[26]  R. Pashley,et al.  Surface forces in adsorbed multilayers of water on quartz , 1979 .

[27]  M. Dunn,et al.  Rough surface adhesion in the presence of capillary condensation , 2007 .

[28]  D. Bogy,et al.  An Elastic-Plastic Model for the Contact of Rough Surfaces , 1987 .

[29]  Shu Yang,et al.  From rolling ball to complete wetting: the dynamic tuning of liquids on nanostructured surfaces. , 2004, Langmuir : the ACS journal of surfaces and colloids.

[30]  M. Dunn,et al.  The effect of nanoparticles on rough surface adhesion , 2006 .

[31]  Jingkuang Chen,et al.  Numerical simulation of fluid-structure interaction in a MEMS diaphragm drop ejector , 2002 .

[32]  C. Hsu,et al.  Mechanical stability and adhesion of microstructures under capillary forces. II. Experiments , 1993 .

[33]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.