Calibration of non-local damage models from full-field measurements: application to discrete element fields.

The codes, datasets, and results from the manuscript  'Calibration of non-local damage models from full-field measurements: application to discrete element fields' are available here.

This repository is organized into four folders:

'Ideal Case' folder: This corresponds to Section ‘3. Application of the calibration method on a 1D ideal case' of the manuscript. In this folder, you will find the FreeFEM+ and Python scripts and a makefile to run them. These codes reproduce all the figures, as well as the complete dataset associated with Figures 1-7.

'Virtual Testing Machine' folder: This corresponds to Section 4, 'Introduction of a Virtual Testing Machine' of the manuscript. Here, you will find:

The data for Figure 9, contains the force vs. CMOD response for all sizes and geometries.

The data for Figure 10, contains the scores associated with this parametric identification.

'Green Functions' folder: This includes the FreeFEM++ code to solve the boundary value problem for obtaining Green's function of the Eikonal equation. The code is demonstrated with both a non-damaged case and a polynomial damage case. In the first case, Green’s function corresponds to the weighting functions of the Implicit Gradient method (Peerlings et al., 1996).

'Real Case' folder: This corresponds to Section 5, 'Application of the Proposed Calibration Procedure to Virtual Tests.' Here, you will find:

The complete 'Damage vs. Strain' Dataset was generated with the Virtual Testing Machine. Figures 12-15 correspond to this dataset, processed as explained in the manuscript.

The 'damage vs. damage driving variable' dataset for each characteristic length.  Figure 16 in the manuscript corresponds to this dataset.

The data for Figures 17 and 18, contain the evolution of the error with the characteristic length for different evolution laws.