Phase field modelling of plastic deformation

December 23, 2008

Scaling laws in plastic deformation

M Koslwoski

In crystalline materials, plastic deformation is driven by the non-local long-range interaction of dislocations. This interaction is responsible for a series of features that obey scaling laws, such as the formation of fractal cellular structures, the intermittent plastic flow with scale-free avalanches following a power law and the Hall-Petch relation in which the yield stress depends on the sample size following a power law. A phase-field model of dislocations is described. The present theory is able to reproduce the jerky character of dislocation motion as well as size dependence in small-scale plasticity.


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )


Connecting to %s

%d bloggers like this: