EDP & Matériaux's home page (Gallery)

Gallery

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Dynamics of lines.
- Example of a loss of the graph property for a dislocation equation with a non-physical kernel, for more details see the following resume :
- Example of a change of topology for a dislocation line meeting an obstacle : animated gif
- Evolution of a straight line with changing sign normal velocity by a new Fast Marching Algorithm, for more details see the following resume
Dynamics of dislocations densities
- Evolution of dislocations densities in 1D under constant strain velocity (for the Groma-Balogh model with periodic conditions) .mpg (0.7Mb) .avi (0.2Mb), for more details see the following resume
- Evolution of dislocations densities in 2D under constant strain velocity (for the Groma-Balogh model with periodic conditions) .mpg (1.6Mb), .avi (0.8Mb)

Homogeneization of discrete dislocations dynamics
- Example for the periodization of the trajectories of 3 interacting dislocations in a periodic exterior potential :
- Computation of the effective Hamiltonian for the 1D dynamics of self-interacting dislocations in a periodic exterior potential. This function represents the plastic strain velocity (Y) as a function of the effective stress (X) :


Effective Hamiltonian: Level-sets	Effective Hamiltonian: graphs for different dislocation densities


Evolution of a line without non-local interactions: change of topology	Evolution of a dislocation line: self-interactions	Evolution of a line without non-local interactions: pile-up	Evolution of a dislocation line: self-interactions


Evolution of a line without non-local interactions: capturing + pile-up	Evolution of a dislocation line: capturing + pushing	Evolution of a dislocation line: pinning	Evolution of three dislocation lines: cooperative behavior

Last modified:22/10/2009