85 citations · 96 across the 4 of their papers we have counts for
5 papers
Pattern formation during diffusion limited transformations in solids
M. Fleck, C. Hueter, D. Pilipenko +2
We develop a description of diffusion limited growth in solid-solid transformations, which are strongly influenced by elastic effects. Density differences and structural transforma…
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…
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…
Phase Field Modeling of Fast Crack Propagation
Robert Spatschek, Miks Hartmann, Efim Brener +2
We present a continuum theory which predicts the steady state propagation of cracks. The theory overcomes the usual problem of a finite time cusp singularity of the Grinfeld instab…
Deriving nonequilibrium interface kinetics from variational principles
Robert Spatschek
Nonequilibrium dynamics at interfaces is generally driven by a chemical potential. Here we demonstrate a generic technique to derive the basic equations of motion, boundary conditi…