Automated Model Discovery for Tensional Homeostasis: Constitutive Machine Learning in Growth and Remodeling (Source code and data)

This dataset contains

• the source code
• the data and examples
• the material subroutine with examples of uniaxial strain and stress

of the inelastic Constitutive Artificial Neural Network (iCANN) enhanced by the concept of homeostatic surfaces to discover tensional homeostasis.

The corresponding publication is:

Holthusen, H., Brepols, T., Linka, K., & Kuhl, E..

Automated Model Discovery for Tensional Homeostasis: Constitutive Machine Learning in Growth and Remodeling.

Standalone_Materialroutine

• 00_Materialroutine: Contains the material subroutine implemented in FORTRAN
• 01_uniaxial_strain: Example of the material subroutine in a uniaxial strain driven manner
• 02_uniaxial_stress: Example of the material subroutine in a uniaxial stress driven manner

TensorFlow

• iCANN:

  • 01_Biax/biax_l1: Keras/TensorFlow implementation of the iCANN. Example of the cross specimen with L1 (Lasso) regularization

  • 01_Biax/biax_l2: Keras/TensorFlow implementation of the iCANN. Example of the cross specimen with L2 (ridge) regularization

  • 02_Uniax/uniax_l1: Keras/TensorFlow implementation of the iCANN. Example of the stripe specimen with L1 (Lasso) regularization

  • 02_Uniax/uniax_l1: Keras/TensorFlow implementation of the iCANN. Example of the stripe specimen with L2 (ridge) regularization

• iCANN_ABS_activation: Same four examples as above, however, with the absolute value activation function

• installed_packages: File containing a list of installed Python modules used to implement the iCANN

The TensorFlow implementations in all 01_Biax/ and 02_Uniax/ sub-directories are the same.

The implementation in iCANN_ABS_activation is different with respect to the activation functions of the pseudo potential.

The experimental data for the cross and stripe specimen are taken from the literature:

Eichinger, J. F., Paukner, D., Szafron, J. M., Aydin, R. C., Humphrey, J. D., & Cyron, C. J. (2020).

Computer-controlled biaxial bioreactor for investigating cell-mediated homeostasis in tissue equivalents. Journal of biomechanical engineering, 142(7), 071011.

https://doi.org/10.1115/1.4046201