The proposed framework provides a compact, physics-consistent route for distribution-free aleatoric uncertainty quantification in hyperelastic constitutive modeling, and propagation in downstream finite element simulations.
S. P. Singh, G. Padmanabha, Jing-Yang Tan et al.· arXiv.org· 0 citations
Neural operators evaluate parametric partial differential equations cheaply but degrade sharply outside their training distribution. Physics-informed neural networks avoid dependence on labeled data, yet their optimization can be basin-fragile: when the governing residual admits multiple solutions, a PINN trained from...
S. Mousavi, T. Kadeethum, N. Bouklas et al.· 0 citations
Hyperelastic constitutive models enable modeling large deformations in elastic solids. In common practice, a strain energy density function is prescribed in advance and model-specific parameters are calibrated from experiments. However, many applications require constitutive models for a family of related materials who...
Steven J. Yang, G. Padmanabha, D. T. Seidl et al.· 1 citation
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