Symmetry-imbued Hamiltonian neural operator architecture for stress field prediction of porous metamaterials
Peer-Reviewed Publication
Updates every hour. Last Updated: 25-Oct-2026 11:16 ET (25-Oct-2026 15:16 GMT/UTC)
Researchers from Zhejiang University and Zhejiang Advanced CNC Machine Tool Technology Innovation Center, China, have developed a Symmetry-Imbued Hamiltonian Neural Operator (SIHNO) for predicting stress fields in porous metamaterials. The proposed architecture combines rotation-equivariant geometric representations with a Hamiltonian-inspired energy structure to improve prediction accuracy and robustness under different structural orientations.
The framework integrates a Rotation-Steerable Lattice Projector (RSLP), a Hamiltonian-Fueled Propagator (HFP), and a slice-aware convolutional decoder to address two challenges in stress field prediction: orientation bias caused by fixed coordinate representations and non-physical stress leakage near void-solid interfaces.
In comprehensive numerical experiments based on finite-element-generated stress fields, SIHNO outperformed several established neural operator and physics-informed models across multiple evaluation metrics. The model also maintained millisecond-level inference speed, highlighting its potential for rapid stress prediction in additive manufacturing applications.
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