Benchmark
Plate with Hole · Structural
Engineering question: Can a surrogate predict peak von Mises stress, stress concentration factor, and the full stress field around a hole in tension?
A plate in tension with a hole through the middle. The classic stress concentration problem. Hole size drives the peak at the notch and how hard stress spikes around it. If your model misses the hot spot here, you notice fast.

Hole diameter drives the stress hot spot
- Industry
- General structural
- Domain
- Structural
- Dataset
- Plate with hole
- Task
- Stress fields
- Solver
- CalculiX · C3D10
- Input
- Hole diameter d
- Train
- 20 cases
- Holdout
- 10 test cases
Scope and limits
Comparability
A deliberately simple structural stress problem: a steel plate (t = 5 mm) with a central hole in remote tension. It is a textbook stress-concentration setup with a well-known analytical reference (Peterson Kt), so it does not exercise the kind of complexity you see on fluid or crash benchmarks.
Ground truth
CalculiX FEA on solid C3D10 elements with steel properties from the published training corpus. Peak VM and Kt may also be cross-checked against analytical Peterson solutions where noted at ingest.
Submissions
Published scores from models trained on the open plate-with-hole split and evaluated on shared holdout cases. Check rows to compare; expand for per-case predictions and field metrics.
Select submissions to compare
| Compare | Model | Submitted | Train time | VM acc. | Kt acc. | VM R² | Details |
|---|---|---|---|---|---|---|---|
| Two-Stream Transformer34780 | Jun 18, 2026 | 2m 16s | 99.49% | 99.72% | 0.9945 | ||
| MeshGraphNet5187f | Jun 18, 2026 | 14m 46s | 98.44% | 99.47% | 0.9887 | ||
| DoMINO1e4d5 | Jun 18, 2026 | 42m 18s | 99.69% | 99.23% | 0.9719 | ||
| Transolver9b52e | Jun 24, 2026 | 12m 37s | 92.94% | 96.36% | 0.9533 |
Ready to try this out? Download the training split, or submit if you already trained on the shared protocol. Check the submission guide →