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Architecturally constrained neural energy representations for variationally well-posed higher-order continua

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Mathematics and Mechanics of Solids

Published online on

Abstract

Mathematics and Mechanics of Solids, Ahead of Print.
Neural constitutive models have recently emerged as powerful tools for data-driven continuum mechanics, yet their integration into higher-order theories remains largely empirical and often lacks structural guarantees. In this work, we develop a rigorous ...