Finite Element Program for Fracture Mechanics of Ceramic Matrix Composites

This static repository contains the Julia source code for a Finite Element program designed to analyze the fracture mechanics of ceramic matrix composites.

The code produced the results discussed in the paper:
"On the role of the matrix in the strength of carbon fiber-reinforced ceramics"

If you use or find these codes useful, please cite this repository and the paper as:

@article{VIGLIOTTI2024105227,
  title = {On the role of the matrix in the strength of carbon fiber-reinforced ceramics},
  journal = {Mechanics of Materials},
  pages = {105227},
  year = {2024},
  issn = {0167-6636},
  doi = {https://doi.org/10.1016/j.mechmat.2024.105227},
  url = {https://www.sciencedirect.com/science/article/pii/S0167663624003193},
  author = {Andrea Vigliotti and Ferdinando Auricchio and Damiano Pasini},
  keywords = {Ceramics, Composites, Multiscale mechanics, Fracture, Phase field},
}

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Description of Files

• fe_tools.jl
  Includes the module for handling the phase field model.

• helper_funcs.jl
  Contains helper functions for solving the Finite Element (FE) problem.

• solver.jl
  Contains the main solver.

• mesh_files/
  Directory containing the meshes of the models.

• AD4SM/
  Directory containing the package for handling automatic differentiation and element generation.
  To add this package via Julia's package manager, run:

  ]add AD4SM
  

  or

  ]add https://github.com/avigliotti/AD4SM.jl
  

• qs_cm_hex1x1x1nL20_r500L1100lc0125lcf0500AT1nhl0500*.jl
  Sample scripts to launch simulations for specified boundary conditions and models.

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Solver Expectations

1. Mesh Directory:
   The solver expects to find the mesh files in the directory named mesh_files. This can be changed by passing the relevant parameter to the solver.

2. Output Directories:

   • JLD2 Files: The solver writes output files in JLD2 format to the jld2_files directory.
   • Paraview Files: The solver writes Paraview-compatible files to the vtk_files directory.

   If these directories are not present, they will be created automatically. Ensure the program has write privileges to these directories.

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Julia Installation

Julia can be downloaded and installed from the official website.

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