Mat-1.3656 Seminar on numerical analysis and computational science

Monday Jan 20, 2012, room U322 at 14.15, Eirola & Stenberg

Timo Eirola and Veikko Sariola, A"

Modeling capillary self-alignment in microassembly using the finite element method

When a droplet of liquid is placed between two wettable pads, one on a fixed substrate and one on a freely moving part, the surface tension  of the droplet aligns the part to the substrate pad. This is called capillary self-alignment and is used in the assembly of microcomponents. Different liquids, including solders, water and adhesives, can be used.

Modeling of the phenomenon comes down to finding the shape of the liquid surface as a function of the part orientation and location. The shape can be found by solving the Young-Laplace or minimal surface equation. In this talk, we discuss initial ideas for solving the problem using the variational formulation and the finite element method. An approach of using freefem++ is demonstrated.