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Understanding continuity

Worth reading

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

-- Biswajit 

Justin C. Mach's picture

Continuity in the Plastic Strain Rate and its Influence on Texture Evolution

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 

lattice rotation field from a conservation law for Burgers vector content—a consequence of an averaged field theory 

of dislocation mechanics. This results in a nonlocal evolution equation for the lattice rotation field. The continuity 

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