85 citations · 120 across the 5 of their papers we have counts for
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Theory of dendritic growth in the presence of lattice strain
D. Pilipenko, E. A. Brener, C. Hueter
Elastic effects due to lattice strain modify the local equilibrium condition at the solid-solid interface compared to the classical dendritic growth. Both, the thermal and the elas…
Crack growth by surface diffusion in viscoelastic media
R. Spatschek, E. A. Brener, D. Pilipenko
We discuss steady state crack growth in the spirit of a free boundary problem. It turns out that mode I and mode III situations are very different from each other: In particular, m…
Velocity selection problem in the presence of the triple junction
E. A. Brener, C. Hüter, D. Pilipenko +1
Melting of a bicrystal along the grain boundary is discussed. A triple junction plays a crucial role in the velocity selection problem in this case. In some range of the parameters…
Phase Field Modeling of Fracture and Stress Induced Phase Transitions
R. Spatschek, C. Mueller-Gugenberger, E. Brener +1
We present a continuum theory to describe elastically induced phase transitions between coherent solid phases. In the limit of vanishing elastic constants in one of the phases, the…
Melting of alloys along the inter-phase boundaries in eutectic and peritectic systems
Efim A. Brener, D. E. Temkin
We discuss a simple model of the melting kinetics along the solid-solid interface in eutectic and peritectic systems. The process is controlled by the diffusion inside the liquid p…