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This work presents a novel global digital image correlation (DIC) method,based on a newly developed convolution finite element (C-FE) approximation. Theconvolution approximation can rely on the mesh of linear finite elements andenables arbitrarily high order approximations without adding more degrees offreedom. Therefore, the C-FE based DIC can be more accurate than {the} usual FEbased DIC by providing highly smooth and accurate displacement and strainresults with the same element size. The detailed formulation and implementationof the method have been discussed in this work. The controlling parameters inthe method include the polynomial order, patch size, and dilation. A generalchoice of the parameters and their potential adaptivity have been discussed.The proposed DIC method has been tested by several representative examples,including the DIC challenge 2.0 benchmark problems, with comparison to theusual FE based DIC. C-FE outperformed FE in all the DIC results for the testedexamples. This work demonstrates the potential of C-FE and opens a new avenueto enable highly smooth, accurate, and robust DIC analysis for full-fielddisplacement and strain measurements.

Convolution finite element-based digital image correlation for displacement and strain measurements