Experimental Mechanics manuscript No. (will be inserted by the editor) Voxel-Scale Digital Volume Correlation

Abstract Among various correlation techniques to ¯nd the displacement ¯eld of a volume imaged by X-Ray tomography at several deformation states, a new approach is proposed where the displacement is measured down to the voxel scale and determined from a mechanically regularized system using the equilibrium gap method, and an additional boundary regularization. It is shown that even if the underlying material behavior is not very well known, this approach leads to extremely small correlation residuals. An excellent stability of the estimated displacement ¯eld for noisy (reconstructed) volumes is also observed