2018/09/06 by Amit Acharya, Acharya, Amit
Engineering · #Classical Physics (physics.class-ph) #Elasticity and Wave Propagation #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Material Science and Thermodynamics #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1809.03567
openalex publication_date 2018/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.