5 papers
Single-axis high-energy X-ray diffraction tomography for elastic residual strain: uniqueness and stability of solutions in the presence of equilibrium constraints
Christopher Wensrich, Sean Holman, Matias Courdurier +1
It is well-established that single-axis Transverse Ray Transform tomography data from high-energy X-ray diffraction is insufficient for general reconstruction of three-dimensional…
Uniqueness of solutions in high-energy x-ray based `eigenstrain tomography' and other inverse eigenstrain problems: Counter examples and necessary conditions for well-posedness
Christopher Wensrich, Sean Holman, William Lionheart +2
Eigenstrain tomography combines diffraction-based strain measurement with elasticity theory to reconstruct full three-dimensional residual stress fields within solids. Notwithstand…
Well-posedness and trivial solutions to inverse eigenstrain problems
Christopher Wensrich, Sean Holman, William Lionheart +4
We examine the well-posedness of inverse eigenstrain problems for residual stress analysis from the perspective of the non-uniqueness of solutions, structure of the corresponding n…
General reconstruction of elastic strain fields from their Longitudinal Ray Transform
Chris Wensrich, Sean Holman, William Lionheart +4
We develop an algorithm for reconstruction of elastic strain fields from their Longitudinal Ray Transform (LRT) in either two or three dimensions. In general, the LRT only determin…
Direct inversion of the Longitudinal Ray Transform for 2D residual elastic strain fields
C. M. Wensrich, S. Holman, M. Courdurier +3
We examine the problem of Bragg-edge elastic strain tomography from energy resolved neutron transmission imaging. A new approach is developed for two-dimensional plane-stress and p…