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A physics-augmented neural network framework for finite strain incompressible viscoelasticity
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DOI：10.1016/j.cma.2026.118892.png)
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Abstract
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• Physics-augmented neural network (PANN) model for finite strain incompressible viscoelasticity • Incompressible finite viscoelasticity framework based on generalized standard materials • Linearization of the model to show consistency with linear viscoelasticity at small strains • Determination of internal variables during training by integration of the evolution equation • Gate layer and ℓp regularization for automatic detection of the number of internal variables
Keywords:
Finite strain viscoelasticity
Incompressibility
Generalized standard materials
Physics-augmented neural networks
Exponential mapping
ℓp regularization
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