The package includes the DIC driven modeling of the crack localization in the shear zone. The notebook demonstrating showing the mathematical formulation and the implementation concept, including examples can be launched
The project implements a discrete crack propagation through a two dimensional domain cut out from a shear zone of a bended beam.
The model has been developed by using a sketch
in notebooks/shear_zone.ipynb
which uses a combination of symbolic derivation supported by
the sympy package and numerical numpy and scipy functionality.
Individual model components have been derived step by step indicating the mutual dependeces. The model is developed in the following steps.
- beam design
- material models (to be integrated with bmcs_beam)
- crack path
- crack tip rotation
- deformed state
- ligament stress profile
- crack tip shear stress
- crack orientation criterion
- crack extension
- crack propagation
The directory shear_crack demonstrates the
applied development process. Each of the classes is implemented
in a separate Python file, i.e. beam_design.py and its functionality is demostrated
in the corresponding jupyter file, i.e. beam_design.ipynb.