Worth reading

 http://www.dpmms.cam.ac.uk/~wtg10/continuity.html

in case you need to explain the epsilon-delta  definition of continuity to an engineering student.

-- Biswajit 

Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differen- 

tial equations, such as in the update of the rotation field in crystal plasticity. A continuity condition is derived for the