The Lip-field approach is a regularization method for softening material models. It was applied to damage and softening (visco)-plasticity models both in 1D and 2D scenarii.
The incremental potential used in the Lip-field approach is the nonregularized one. The regularization comes from the addition of a Lipschitz constraint on the damage field (or adequate (visco)-plastic quantities). In other words, the free energy does not depend on the damage gradient. The search of the displacement and damage fields from one time-step to the next is based on an iterative staggered scheme. The displacement field is sought for a given damage field. Then, a Lipschitz continuous damage field is sought for a given displacement field. Both problems are convex. The solution to the latter benefits from bounds proven in [1]. The implementation of the Lipschitz regularity constraint on a finite element mesh and details of the overall solution scheme will be presented. Numerical examples will demonstrate the capability of the approach [2].
[1] Nicolas Moes, Nicolas Chevaugeon. Lipschitz regularization for softening material models: the Lip-field approach. Comptes Rendus. Mécanique, 2021, 349 (2), pp.415-434. ⟨10.5802/crmeca.91⟩. ⟨hal-03806305⟩
[2] Nicolas Chevaugeon, Nicolas Moes. Lipschitz regularization for fracture: The Lip-field approach. Computer Methods in Applied Mechanics and Engineering, 2022, 402, pp.115644. ⟨10.1016/j.cma.2022.115644⟩. ⟨hal-03927211⟩
| Subject : | : | oral |
| Topics | : | 5-4 - Computational methods for damage and fracture |
| PDF version | : |  PDF version |
