From little or nothing, to experimental verification of a complex fracture experiment. We solve the following (difficult) problem:

Evolution of Damage (irreversible)

Let $y=(\alpha, u)$ be an admissible state of a brittle system where $\alpha: \Omega \mapsto [0, 1]$ is a smooth damage field which identifies cracks (where $\alpha =1$) and $u$ is a displacement field. Provided a material model (an energy) $E_\ell$, given a time horizon $T$, let's find a map $t \in [0, T]\mapsto y_t$ such that: damage is non-decreasing and the observed state $y_t$ is energy-minimal, among admissible variations.

For each new feature you wish to implement, create a branch named {yourname}-{feature}, as in andres-meshes.

https://docs.gitlab.com/ee/gitlab-basics/feature_branch_workflow.html

• Create your feature branch:git checkout -b username-feature
• To push your branch: git push -u origin feature_branch_name
• Create a pull request on the main branch for merging. Somebody should approve the pull-request. -

git checkout main
git pull
git checkout yourname-branch
git merge main

Asymmetrically, feature-work is rebased.

First, run the container, attaching an interactive session and sharing data space (the current dir) between the host and the container (the syntax is origin:target).

On a Mac:

docker run --rm -ti -v "$(pwd)":/home/numerix -w /home/numerix kumiori3/numerix:latest

On a windows box:

docker run --rm -ti -v "C:/...":/home/numerix" -w /home/numerix kumiori3\numerix:latest

This code was initially conceived as a support for the teaching course MEC647, (Complex) Crack Propagation in Brittle Materials, delivered to the students of the international master programme, joint between École Polytechnique and ENSTA-Paristech throughout 2020-2022. Hence the cryptic repository name.

To all the students for their effort, participation, and motivation.

See paper.md

See LICENSE file.

Each file should have at least the "copyright" line and a pointer to where the full notice is found.

<Irrevolutions is scientific software, it is conceived to compute evolution paths
upon a general notion of (unilateral) stability. It applies to fracture and, maybe,
not only.>

Copyright or copyLeft (C) <~0>  <ALB/83252>

This program is free software. Here, the term 'free' has all to do
with freedom and nothing to do with price. You can redistribute it and/or
modify it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed without hope that it will be useful,
WITHOUT ANY WARRANTY, but with pointers to ONE or SEVERAL PROOFS; without 
even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE,
if-not to compute constrained evolutions of complex systems, whether Natural
or Social. THIS MATERIAL IS BASED UPON GENERAL RESULTS. See the GNU General 
Public License for more details, see your favourite Functional Analysis reference 
book for further abstraction.

You should have received a copy of the GNU General Public License
along with this program.  If not, see <https://www.gnu.org/licenses/>.