In this project, a theoretical-computational framework is proposed for predicting the failure behavior of two anisotropic brittle materials, namely, single crystal magnesium and boron carbide under quasi-static and dynamic loading. Constitutive equations are derived, in both small and large deformations, by using thermodynamics in order to establish a fully coupled and transient twin and crack system. To study the common deformation mechanisms (e.g., twinning and fracture), a monolithically-solved Ginzburg–Landau-based phase-field theory coupled with the mechanical equilibrium equation is implemented in a finite element simulation framework for the following problems: (i) twin evolution in two-dimensional single crystal magnesium and boron carbide under simple shear deformation; (ii) crack-induced twinning for magnesium under pure mode I and mode II loading; and (iii) study of fracture in homogeneous single crystal boron carbide under biaxial compressive loading.
An open-source computing platform, FEniCS is used for translating the governing equations into efficient finite element code. An Intel Xeon E7-4850 (in total 64 cores each 40 MB cache, equipped with 256 GB RAM in total, running Linux Kernel 5 Ubuntu 20.04) is implemented for running the simulations. Running the codes in parallel requires the following command:
mpirun -n (# of CPUs) python3 script_test.py
The geometry and meshes are created in SALOME Version 9.7.0 as MED files and then converted to XML files for the simulations using DOLFIN package.
If you find these codes useful, please cite our open access works as 123:
@article{amirian2023study,
title={The study of diffuse interface propagation of dynamic failure in advanced ceramics using the phase-field approach},
author={Amirian, Benhour and Abali, Bilen Emek and Hogan, James David},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={405},
pages={115862},
year={2023},
publisher={Elsevier}
}
@article{AMIRIAN2022111789,
title = {Thermodynamically-consistent derivation and computation of twinning and fracture in brittle materials by means of phase-field approaches in the finite element method},
author = {Benhour Amirian and Hossein Jafarzadeh and Bilen Emek Abali and Alessandro Reali and James David Hogan}
journal = {International Journal of Solids and Structures},
volume = {252},
issn = {0020-7683},
pages = {111789},
year = {2022},
publisher = {Elsevier}
}
@article{amirian2022phase,
title={Phase-field approach to evolution and interaction of twins in single crystal magnesium},
author={Amirian, Benhour and Jafarzadeh, Hossein and Abali, Bilen Emek and Reali, Alessandro and Hogan, James David},
journal={Computational Mechanics},
volume={70},
number={4},
pages={803--818},
year={2022},
publisher={Springer}
}
