Surface Tension Problems With
Distributed Torque
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.
Related Book
Other papers in this volume
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