Robust inverse material design with physical guarantees using the Voigt-Reuss Net
PositiveArtificial Intelligence
A new method for mechanical homogenization has been proposed, utilizing a spectrally normalized surrogate that incorporates physical guarantees. This approach leverages the Voigt-Reuss bounds and employs a Cholesky-like operator to create a symmetric positive semi-definite representation. The method has been tested on a dataset of stochastic biphasic microstructures, achieving near-perfect fidelity in isotropic projections with R² values exceeding 0.998. The median relative Frobenius error was approximately 1.7%.
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