Author(s)

M. Reivinen & E.-M. Salonen

Abstract

Surface tension problems with M. Reivinen & E.-M. Salonen School of Engineering, Aalto University, Finland Abstract A formulation based on the principle of virtual work for the determination of equilibrium crystal shapes is presented. The surface tension at the interface between material phases is non-constant depending on the interface orientation. The non-constancy of the surface tension means that for interface equilibrium certain distributed torque must act on the interface. When the distributed torque has jumps in its value, edges can emerge on the interface surface. The corresponding jump conditions at the edges are derived. The presentation is mainly limited to two dimensions but the formulation can be extended rather straightforwardly also to three dimensions. A discrete formulation employing a line segment model is applied to a demonstration example having analytical solution. Further, the demonstration example with edges shows that the jump conditions are satisfied. Keywords: crystal shape, surface tension, contact, virtual work.

Keywords

Keywords: crystal shape, surface tension, contact, virtual work.