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A simple parameter reconstruction workflow using well-established machine learning algorithms and neural networks. The workflow is implemented and explained step-by-step in a Jupyter notebook.

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TheFerry10/ml-parameter-identification

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Parameter reconstruction for non-linear stress-strain relations

Problem statement

The purpose of this project is to implement various machine learning techniques to reconstruct the model parameters from given stress-strain curves. It is a priori known that the stress-strain relation is given by an explicit Ramberg-Osgood model, which represents a non-linear relation between the stress and the strain

Data-driven approach

The implemented machine learning models learn the non-linear stress-strain relation through training data. Herein, each training sample corresponds to vector-valued stresses and strains, which are mapped to the corresponding model parameters. To this end, the following split is proposed:

  • features: stress and strain vectors
  • labels: two model parameters

Note that the labels represent the target of a prediction, while the data generation process will be explained later. Since two parameters correspond to each stress-strain curve, the machine learning problem is consequently classified as a multi-target regression.

Model requirements

The trained model should predict the material parameters from stress-strain curves, while the following requirements should be addressed through the implementation:

  • noise in the stress-strain curves to represent experimental data,
  • data points for the strain values are unevenly distributed,
  • flexible adjustment of the number of data points in stress-strain curves.

Solution procedure

  • Analyze an exemplary stress-strain curve.
  • Generating apropriate test and train data.
  • Implement a machine learning model.
  • Training the model and optimize hyperparameter.
  • Evaluate the generalization performance on the test data.

Using Anaconda

The environment file mlenv.yml was used to produce the output presented in the Jupyter notebook. You can find a helpful guide about anaconda installation environments through the following link: https://docs.conda.io/projects/conda/en/latest/user-guide/tasks/manage-environments.html#creating-an-environment-from-an-environment-yml-file

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A simple parameter reconstruction workflow using well-established machine learning algorithms and neural networks. The workflow is implemented and explained step-by-step in a Jupyter notebook.

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