| --- |
| dataset_info: |
| - config_name: geometry |
| features: |
| - name: node_coordinates_x |
| list: float64 |
| - name: node_coordinates_y |
| list: float64 |
| - name: connectivity |
| list: |
| list: int32 |
| splits: |
| - name: default |
| num_bytes: 62508 |
| num_examples: 1 |
| download_size: 35333 |
| dataset_size: 62508 |
| - config_name: parameters |
| features: |
| - name: youngs_modulus |
| list: float64 |
| splits: |
| - name: default |
| num_bytes: 46000 |
| num_examples: 500 |
| download_size: 54144 |
| dataset_size: 46000 |
| - config_name: snapshots |
| features: |
| - name: displacement_x |
| list: float64 |
| - name: displacement_y |
| list: float64 |
| splits: |
| - name: default |
| num_bytes: 10772000 |
| num_examples: 500 |
| download_size: 11268439 |
| dataset_size: 10772000 |
| configs: |
| - config_name: geometry |
| data_files: |
| - split: default |
| path: geometry/default-* |
| - config_name: parameters |
| data_files: |
| - split: default |
| path: parameters/default-* |
| - config_name: snapshots |
| data_files: |
| - split: default |
| path: snapshots/default-* |
| --- |
| # Elastic Block Dataset |
|
|
| ## Dataset Description |
|
|
| This dataset contains structural mechanics simulations of an elastic block under varying Young's modulus parameters. |
|
|
| ### Dataset Summary |
|
|
| The Elastic Block dataset provides numerical simulations of elastic deformation in a 2D block with parametrized material properties. The dataset includes displacement fields in both x and y directions, making it suitable for reduced-order modeling, surrogate modeling, and machine learning applications in structural mechanics. |
|
|
| ## Dataset Structure |
|
|
| ### Data Instances |
|
|
| The dataset consists of three configurations: |
|
|
| - **geometry**: Mesh information (nodes and connectivity) |
| - **snapshots**: Displacement field solutions |
| - **parameters**: Young's modulus values for each simulation |
|
|
| ### Data Fields |
|
|
| #### Geometry Configuration |
| - `node_coordinates_x`: Sequence of x-coordinates of mesh nodes (float64) |
| - `node_coordinates_y`: Sequence of y-coordinates of mesh nodes (float64) |
| - `connectivity`: Sequence of element connectivity (triangular elements, int32) |
|
|
| #### Snapshots Configuration |
| - `displacement_x`: Displacement field in x-direction at each node (float64) |
| - `displacement_y`: Displacement field in y-direction at each node (float64) |
|
|
| #### Parameters Configuration |
| - `youngs_modulus`: Young's modulus parameter for each simulation (float64) |
|
|
| ### Data Splits |
|
|
| - `default`: Contains all simulations |
|
|
| ## Dataset Creation |
|
|
| ### Source Data |
|
|
| The dataset was generated using finite element simulations of linear elasticity with varying Young's modulus parameters. |
|
|
| ### Preprocessing |
|
|
| Displacement solutions are stored as 1D arrays (one for each direction) corresponding to the nodal values on the mesh. |
|
|
| ## Usage |
|
|
| ```python |
| from datasets import load_dataset |
| import numpy as np |
| import matplotlib.pyplot as plt |
| import matplotlib.tri as mtri |
| |
| # Load geometry |
| ds_geom = load_dataset("SISSAmathLab/elastic-block", name="geometry") |
| |
| # Load snapshots |
| ds_data = load_dataset("SISSAmathLab/elastic-block", name="snapshots") |
| |
| # Load parameters |
| ds_params = load_dataset("SISSAmathLab/elastic-block", name="parameters") |
| |
| # Visualize displacement field for first simulation |
| pts_x = np.asarray(ds_geom['default']['node_coordinates_x']).flatten() |
| pts_y = np.asarray(ds_geom['default']['node_coordinates_y']).flatten() |
| connectivity = ds_geom['default']['connectivity'][0] |
| displacement_x = np.asarray(ds_data['default']['displacement_x'][0]) |
| |
| triang = mtri.Triangulation(pts_x, pts_y, connectivity) |
| plt.tripcolor(triang, displacement_x) |
| plt.colorbar(label='Displacement X') |
| plt.title('Elastic Block - X Displacement') |
| plt.xlabel('x') |
| plt.ylabel('y') |
| plt.axis('equal') |
| plt.show() |
| ``` |
|
|
| ## Contact |
|
|
| For questions or issues, please contact SISSA mathLab. |
