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A novel approach was derived to compute the elastic displacement field from ameasured elastic deformation field (i.e., deformation gradient or strain). Themethod is based on integrating the deformation field using Finite Elementdiscretisation. Space and displacement fields are approximated using piece-wiseinterpolation functions. Hence, the full elastic deformation field can beexpressed as nodal displacements, the unknowns. The nodal displacements arethen obtained using a least square method. The proposed method was applied tothe symmetrical (residual) elastic deformation field measured using high(angular) resolution electron backscatter diffraction around a Vickersmicro-indenting impression on a (001) mono-Si crystal sample with theintegrated out-of-plane surface displacements matched with the impressiontopography measured using. The (residual) displacement field was used as theboundary conditions to calculate the three-dimensional stress intensity factors(K_(I,II,III)) at the cracks emanating from the indentation.

A Computational Method for the Determination of the Elastic Displacement Field using Measured Elastic Deformation Field