Theoretical Model for Detection of Residual Stress Tension in Aluminium Sheet Metal

This paper talk addresses the implementation of an algorithm dedicated to the analysis of any residual stresses present in aluminium sheet metal. This procedure is based on theoretical mathematical models related to Cauchy-Dirichlet, Fourier andWavelet transform theory. The presented model is based on the hypothesis that the areas (clusters) where the residual stresses are concentrated are directly connected with the discontinuity of the material, related to minimal morphological changes caused by the heat generated during the drilling process. These material variations lead to discontinuity of the thermal conductivity. As it will be seen, this method aims to determine the existence of gradient of conductivity and, consequently, to represent thermo-tensional clusters.