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New neural network models hyperelasticity with learned directional features

Researchers have developed a novel polyconvex physics-augmented neural network (PANN) called PANN, designed to accurately and efficiently model the anisotropic hyperelastic response of representative volume elements (RVEs). This PANN construction utilizes learned paired directional features, which adapt to the RVE's specific behavior. The resulting energies inherently satisfy mechanical consistency properties like objectivity and polyconvexity, and have demonstrated superior performance in stress error and displacement error compared to unconstrained networks and reduced-order models, particularly beyond the training data. AI

IMPACT This research introduces a novel neural network architecture for complex material modeling, potentially improving simulations in computational physics.

RANK_REASON Academic paper detailing a new computational physics model. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New neural network models hyperelasticity with learned directional features

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Academic paper detailing a new computational physics model. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · S. Ares de Parga, A. Cornejo, J. A. Hern\'andez, R. Rossi ·

    Polyconvex neural-network surrogates with learned paired directional features for anisotropic hyperelastic homogenization

    arXiv:2610.12801v1 Announce Type: cross Abstract: Approximating the effective anisotropic hyperelastic response of a representative volume element (RVE) requires constitutive expressiveness, mechanical consistency, and computational efficiency. This work develops a polyconvex phy…