User login

You are here

Stress of a spatially uniform dislocation density field

Amit Acharya's picture

It can be shown that the stress produced by a spatially uniform dislocation density field in a body comprising a linear elastic material under no loads vanishes. We prove that the same result does not hold in general in the geometrically nonlinear case. This problem of mechanics establishes the purely geometrical result that the curl of a sufficiently smooth two-dimensional rotation field cannot be a non-vanishing constant on a domain.

AttachmentSize
PDF icon finite_def_stress_free.pdf197 KB
Subscribe to Comments for "Stress of a spatially uniform dislocation density field"

Recent comments

More comments

Syndicate

Subscribe to Syndicate