Problem
Plate with Hole
Structural
A flat plate in uniaxial tension with a circular hole. Stress concentrates at the notch, so the peak and the field around the hole are well understood and easy to check. We use surrogates to predict that stress response when geometry and load change: hole size, thickness, plate dimensions, hole position, and applied tension. Same physics problem across design spaces. Miss the hot spot and you notice fast.

- Industry
- General
- Domain
- Structural
- Task
- Stress fields
- Datasets
- 7
Scope and limits
Comparability
A deliberately simple plate-with-hole problem: peak principal stress and field shape around the hole are easy to check. That transparency makes it a clear baseline for studying how surrogates respond to training quantity, parameter coverage, and design-space difficulty, without the complexity of fluid or crash problems.
Ground truth
Finite-element analysis of a steel plate in tension. Mesh family and solver vary by dataset (CalculiX solids on Rescale, Nastran shells on NAFEMS D1-D6). The material is steel throughout. Published scores use FEA holdout truth.
Datasets
Same physics problem, different design spaces. Each row is a pack of cases with its own mesh family and parameter sweep.
7 live · 7 total
| Dataset | What varies | Plate size | Mesh | Solver | Cases | Runs | Open |
|---|---|---|---|---|---|---|---|
Rescale Tutorial Rescale · Live | Hole diameter | 200 × 50 mm | Solid (C3D10) | CalculiX | 27cases | 4 runs | Open |
NAFEMS D1 NAFEMS · Live | Hole diameter | 600 × 300 mm | Shell surface | Nastran | 22cases | 6 runs | Open |
NAFEMS D2 NAFEMS · Live | Hole diameter, thickness | 600 × 300 mm | Shell surface | Nastran | 25cases | 5 runs | Open |
NAFEMS D3 NAFEMS · Live | Hole diameter, plate length, plate width | Varies | Shell surface | Nastran | 22cases | 5 runs | Open |
NAFEMS D4 NAFEMS · Live | Hole diameter, applied load | 600 × 300 mm | Shell surface | Nastran | 22cases | 5 runs | Open |
NAFEMS D5 NAFEMS · Live | Hole diameter, hole position | 600 × 300 mm | Shell surface | Nastran | 21cases | 5 runs | Open |
NAFEMS D6 NAFEMS · Live | All 7 parameters (LHS) | Varies | Shell surface | Nastran | 96cases | 4 runs | Open |