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Description
In digital image correlation (DIC) different methods to determine the displacements fields on the surface of a specimen are proposed in the literature. Here, we assume that a commercial DIC system provides the three-dimensional coordinates of material points on the curved surface of a specimen, and one does not have any access to the pixel data. Based on this point cloud data, a point on the surface in the initial configuration can be obtained by interpolation, where we draw on radial basis functions (RBF) to obtain continuous interpolation. The same can be carried out for each individual picture, and, thus, the motion. From this, in-plane strains, principal strains and principal directions can be determined (Lagrangian description). Pictures of an infrared thermographic (IRT) camera provides the temperature assigned to a spatial point (Eulerian description). To assign the temperature to a material point, both systems must be combined. A first approach makes use of a pure geometrical consideration requiring an object with specified points and the distance between the IRT-camera to the object. Alternatively, a camera model can be considered. This is shown at particular applications, namely pure theoretical verification examples, and real specimens.
