Anisotropic mesh adaptation in large plastic deformation with damage

The anisotropic mesh adaptation is still a challenging problem especially in numerical modeling of large plastic deformation with damage, the challenge is to keep updated with the damage growth which is generally observed in the direction perpendicular to the maximum principal stress. In this paper, we present an anisotropic mesh adaptation scheme that optimizes the mesh regarding this preferential evolution which results in high spatial anisotropy in the gradient of the damage filed. This mesh adaptation is driven by an error indicator based on the interpolation error estimate to prescribe size, shape and orientation of elements by using a metric tensor, this metric is then used to generate the anisotropic adapted mesh thanks to the meshing software MTC. Numerical experiences show the effectiveness of this technique to capture the localization zones and to take into account the spatial anisotropy of the damage growth.