28 citations · 49 across the 2 of their papers we have counts for
3 papers
math.OC2016
Necessary conditions of first-order for an optimal boundary control problem for viscous damage processes in 2D
M. Hassan Farshbaf-Shaker, Christian Heinemann
Controlling the growth of material damage is an important engineering task with plenty of real world applications. In this paper we approach this topic from the mathematical point…
math.AP2015★ 21 cited
Existence results for diffuse interface models describing phase separation and damage
Christian Heinemann, Christiane Kraus
In this paper, we analytically investigate multi-component Cahn-Hilliard and Allen-Cahn systems which are coupled with elasticity and uni-directional damage processes. The free ene…
math.AP2015★ 28 cited
Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage
Christian Heinemann, Christiane Kraus
A typical phase field approach for describing phase separation and coarsening phenomena in alloys is the Cahn-Hilliard model. This model has been generalized to the so-called Cahn-…