14 citations · 49 across the 6 of their papers we have counts for
6 papers
Fracture as a pattern formation process
M. Fleck, D. Pilipenko, R. Spatschek +1
A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, p…
Nonlinear Two-Dimensional Green's Function in Smectics
E A. Brener, V. I. Marchenko, D. Pilipenko
The problem of the strain of smectics subjected to a force distributed over a line in the basal plane has been solved.
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…
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…