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Bayesian optimal design framework enhances material constitutive law learning

Researchers have developed a Bayesian optimal experimental design framework to improve the learning of history-dependent constitutive models, which are crucial for understanding material behavior. This new approach aims to maximize the utility of experimental data by reducing parametric uncertainty, thereby leading to more reliable parameter estimates. The framework incorporates approximations for Gaussian expected information gain and Fisher information matrix surrogates, making it practical for complex material testing scenarios. Numerical studies demonstrated that optimized experimental designs significantly enhance parameter identifiability compared to random designs, particularly for parameters related to memory effects in viscoelastic solids. AI

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IMPACT Introduces a novel framework for optimizing experimental design in materials science, potentially improving the efficiency and reliability of learning complex material behaviors.

RANK_REASON This is a research paper detailing a new framework for experimental design in materials science.

Read on arXiv cs.LG →

COVERAGE [1]

  1. arXiv cs.LG TIER_1 · Kaushik Bhattacharya, Lianghao Cao, Andrew Stuart ·

    Optimal Experimental Design for Reliable Learning of History-Dependent Constitutive Laws

    arXiv:2603.12365v2 Announce Type: replace-cross Abstract: History-dependent constitutive models serve as macroscopic closures for the aggregated effects of micromechanics. Their parameters are typically learned from experimental data. With a limited experimental budget, eliciting…