### FEniCS Implementation for Dynamic Fracture

Source: https://github.com/vinutr11/fenics-explicit_phasefield_dynamic_fracture/blob/main/README.md

This snippet details the implementation of phase field modelling for dynamic fracture using the FEniCS library in Python. It employs explicit time integration and a staggered approach to solve coupled partial differential equations for simulating crack propagation and failure mechanisms in composite materials.

```Python
from fenics import *

# Define parameters for dynamic fracture simulation
# ... (e.g., mesh, material properties, time stepping)

# Define variational problem for phase field evolution
# ...

# Define variational problem for displacement field
# ...

# Time-stepping loop using explicit schemes (e.g., Newmark)
# ...

# Save results
# ...
```

--------------------------------

### FEniCS Implementation for Intralaminar Failure

Source: https://github.com/vinutr11/fenics-explicit_phasefield_dynamic_fracture/blob/main/README.md

This snippet outlines the FEniCS implementation for simulating intralaminar failure in composite lamina using the phase field approach. It addresses material anisotropy and multiple failure modes, employing staggered and explicit time schemes for numerical solutions.

```Python
from fenics import *

# Define parameters for intralaminar failure simulation
# ... (e.g., mesh, anisotropic material properties, failure criteria)

# Define variational problem for phase field evolution with anisotropy
# ...

# Define variational problem for displacement field
# ...

# Time-stepping loop using explicit schemes
# ...

# Save results
# ...
```

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