English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We examine the problem of Bragg-edge elastic strain tomography from energyresolved neutron transmission imaging. A new approach is developed fortwo-dimensional plane-stress and plane-strain systems whereby elastic straincan be reconstructed from its Longitudinal Ray Transform (LRT) as two parts ofa Helmholtz decomposition based on the concept of an Airy stress potential. Thesolenoidal component of this decomposition is reconstructed using an inversionformula based on a tensor filtered back projection algorithm whereas thepotential part can be recovered using either Hooke's law or a finite elementmodel of the elastic system. The technique is demonstrated for two-dimensionalplane-stress systems in both simulation, and on real experimental data. We alsodemonstrate that application of the standard scalar filtered back projectionalgorithm to the LRT in these systems recovers the trace of the solenoidalcomponent of strain and we provide physical meaning for this quantity in thecase of 2D plane-stress and plane-strain systems.

Direct inversion of the Longitudinal Ray Transform for 2D residual elastic strain fields