bmcs-shear 0.0.3a0

Shear zone model with discrete crack propagation.

Discrete cracking within a shear zone

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.

Crack propagation app

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.