Second order asymptotics for the propagation speed of interfaces in the Allen‐Cahn phase field model for elastic solids
Hans‐Dieter Alber, Bernd A. Markert · PAMM · 2012
Abstract For a phase field model, which consists of the elasticity equations coupled to the Allen‐Cahn equation, we state an asymptotic expansion for the propagation speed of the diffusive interface. The error of the expansion is of order η2, where η is the width of the interface. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)