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math.AP2025
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…
math.GM2025
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…