Three-Dimensional Mechanical Modeling of Magnet-Controlled Transfer Printing

Abstract

The recently developed magnet-controlled transfer printing is valuable to develop advanced engineering systems due to its ability to tune the interfacial adhesion strength continuously and rapidly. A three-dimensional analytical model based on the energy method is developed for the magnet-controlled transfer printing. The predicted interfacial adhesion strengths agree well with experiments. A scaling law is established for the normalized interfacial adhesion strength, which depends on only four non-dimensional parameters: the normalized stamp size, the normalized stamp height, the normalized work of adhesion, and the normalized magnetic pressure. The influences of the non-dimensional parameters on the adhesion strength are fully investigated. This study provides a theory to guide the design of stamp and selection of the magnetic pressure to enable a successful magnet-controlled transfer printing.