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Published April 9, 2026 | Version v1
Dataset Open

Datasets and results for neural approximations based on stress potentials

  • 1. ROR icon Max-Planck-Institut für Nachhaltige Materialien

Description

1. Overview

This is the dataset that we use for testing and training the models as desribed in the article:  
  An approach to encode divergence-free stress fields in neural approximations based on stress potentials

2. Repository Structure

data/
├── datasets/          
│   ├── grains_10_res_128_samples_5000/         
│   └── grains_48_res_128_samples_8/     
├── results/        

3. Directory Details

datasets/

Contains processed material parameter and stress tensor data in .npy format for use in neural operator training and evaluation.

Each dataset folder includes:

  • Material parameters: E.npy (Young's modulus), v.npy (Poisson's ratio)
  • Stress tensor components: P11.npy, P22.npy, P23.npy,P32.npy,P33.npy (stress tensor)
  • Metadata: input_param_data.json.npy

results/

Contains output quantities.

The trained models:

  • *PeFNO.eqx 
  • *PgFNO.eqx 
  • *PiFNO.eqx 

The loss histories and losses on the test set:

  • *best_model_losses.npy 
  • *test_losses.json 

The results of the experiments: 

  • *hyper_param.json 
  • *resultsGridSearch.pkl 
  • *resultsSensAnaCoefLoss.pkl 

Files

data.zip

Files (5.3 GB)

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Additional details

Software

Programming language
Python