4 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…