Crystal Plasticity Model for Modeling Deformation Caused By Phase Transformation

Material Point Integrator

This repository contains a Jupyter Notebook implementation of the crystal plasticity model developed to model deformation caused by phase transformation. The Jupyter Notebook describes a material point integrator which can be plugged into a finite element framework to compute stresses at an integration point. The finite element framework can then be used to solve for the deformation at element level and for the mesh.

Things to note before using the code:

• Change the transformation deformation gradient ( $\bar{\mathbf{F}}^t$ ) based on the transformation, use the appropriate lattice parameters to compute this.
• update the creatSchmid.py file with the right slip systems.
• Use the appropriate material properties in the "Material Properties" cell.
• Supply the right hardness rule. A sample file with voce-kocks hardness rule is provided.

Please address any questions/commments to sagar.bhatt0904@gmail.com

Acknowledgement

This material is based upon work supported by the National Science Foundation under Grant No. CMMI-1729336.

Citing

Sagar Bhatt and Antoinette Maniatty, “Crystal Plasticity Model for Modeling Deformation Caused by Phase Transformation”. Zenodo, Dec. 08, 2022. doi: 10.5281/zenodo.7412821.