Fig. 2: Error distribution analysis for the case of elastic material response. | npj Computational Materials

Fig. 2: Error distribution analysis for the case of elastic material response.

From: Teaching solid mechanics to artificial intelligence—a fast solver for heterogeneous materials

Fig. 2

Distribution of the absolute values of the deviations between the reference data obtained from the full-field DAMASK based spectral solver simulations and the U-Net predictions (a), showing only regions with errors above 83 MPa (4% relative error) in black color for one of the test cases. b The local probability of occurrence of errors larger than 83 MPa. The probability is shown by a gray-scale color-code (the white and black colors represent the probability of zero and one, respectively). This quantity is calculated by averaging the observations similar to (a) over all the test data-sets. In this procedure for each of the test samples, a value of 1 is assigned to regions with an error above 83 MPa, and 0 otherwise. c Error distribution for all points in all of the 50 cases in the test data-set with 4% relative error indicated as red dashed lines.

Back to article page