7 citations · 7 across the 2 of their papers we have counts for
3 papers
math-ph2017
An alternative to the Allen-Cahn phase field model for interfaces in solids - numerical efficiency
Hans-Dieter Alber
The derivation of the Allen-Cahn and Cahn-Hilliard equations is based on the Clausius-Duhem inequality. This is not a derivation in the strict sense of the word, since other phase…
math-ph2015★ 7 cited
Asymptotics and numerical efficiency of the Allen-Cahn model for phase interfaces with low energy in solids
Hans-Dieter Alber
We study how the propagation speed of interfaces in the Allen-Cahn phase field model for phase transformations in solids consisting of the elasticity equations and the Allen-Cahn e…
math.AP2013
The continuous theory of dislocations for a material containing dislocations to one Burgers vector only
Hans-Dieter Alber
We review the continuous theory of dislocations from a mathematical point of view using mathematical tools, which were only partly available when the theory was developed several d…