241 citations · 808 across the 9 of their papers we have counts for
9 papers
Path differences between quasistatic and fatigue cracks in anisotropic media
Xinyuan Zhai, Thomas Corre, Ataollah Mesgarnejad +2
The propagation path of quasistatic cracks under monotonic loading is known to be strongly influenced by the anisotropy of the fracture energy in crystalline solids or engineered m…
Phase field modelling of grain boundary premelting using obstacle potentials
V. Sai Pavan Kumar Bhogireddy, C. Hüter, J. Neugebauer +3
We investigate the multi-order parameter phase field model of Steinbach and Pezzolla [I. Steinbach, F. Pezzolla, A generalized field method for multiphase transformations using int…
Coupled motion of asymmetrical tilt grain boundaries: molecular dynamics and phase field crystal simulations
Z. T. Trautt, A. Adland, A. Karma +1
Previous simulation and experimental studies have shown that some grain boundaries (GBs) can couple to applied shear stresses and be moved by them, producing shear deformation of t…
Feedback control of unstable cellular solidification fronts
A. J. Pons, A. Karma, S. Akamatsu +4
We present a numerical and experimental study of feedback control of unstable cellular patterns in directional solidification (DS). The sample, a dilute binary alloy, solidifies in…
Three-dimensional dendrite tip morphology at low undercooling
Alain Karma, Youngyih H. Lee, Mathis Plapp
We investigate the three-dimensional morphology of the dendrite tip using the phase-field method. We find that, for low undercoolings, this morphology is ostensibly independent of…
Theory of spiral wave dynamics in weakly excitable media: asymptotic reduction to a kinematic model and applications
Vincent Hakim, Alain Karma
In a weakly excitable medium, characterized by a large threshold stimulus, the free end of an isolated broken plane wave (wave tip) can either rotate (steadily or unsteadily) aroun…
Phase-Field Model of Dendritic Sidebranching with Thermal Noise
Alain Karma, Wouter-Jan Rappel
We investigate dendritic sidebranching during crystal growth in an undercooled melt by simulation of a phase-field model which incorporates thermal noise of microscopic origin. As…
Noise Induced Coherence in Neural Networks
Wouter-Jan Rappel, Alain Karma
We investigate numerically the dynamics of large networks of globally pulse-coupled integrate and fire neurons in a noise-induced synchronized state. The powerspectrum of an in…
Numerical Simulation of Three-Dimensional Dendritic Growth
Alain Karma, Wouter-Jan Rappel
Dendritic crystal growth in a pure undercooled melt is simulated quantitatively in three dimensions using a phase-field approach. The full non-axisymmetric morphology of the steady…