Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lipschitz regularization for fracture: the Lip-field approach   The Lip-field approach is a new regularization method for softening material
material models. It was presented first in a previous paper providing
one-dimensional simulations for damage and plasticity. The present paper
focuses on a two-dimensional implementation for elasto-damage models
(quasi-brittle fracture). The incremental potential used in the Lip-field
approach is the non-regularized one. The regularization comes from the addition
of a Lipschitz constraint on the damage field. 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 a previous paper and used here. The paper details the implementation
of the Lipschitz regularity on a finite element mesh and details the overall
solution scheme. Four numerical examples demonstrate the capability of the new
approach.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph