Polyconvexity implies true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity, which is enforced in four PANN architectures that show varying extrapolation behavior on experimental data.
International Journal of Solids and Structures , volume =
3 Pith papers cite this work, alongside 392 external citations. Polarity classification is still indexing.
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Pith papers citing it
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A monotonic ICNN architecture with domain reduction to the positive octant approximates polyconvex envelopes of isotropic functions more efficiently than existing necessary-and-sufficient methods, demonstrated on Saint Venant-Kirchhoff energy.
Experimental inflation tests show that a transversely isotropic Humphrey-Yin hyperelastic model captures the biaxial nonlinear response of porcine diaphragmatic central tendon better than isotropic models like Fung or Yeoh.
citing papers explorer
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Concurrent enforcement of polyconvexity and true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity: application to neural network constitutive models
Polyconvexity implies true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity, which is enforced in four PANN architectures that show varying extrapolation behavior on experimental data.
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Compression of Polyconvex Envelopes of Isotropic Functions via Monotonic Input Convex Neural Networks
A monotonic ICNN architecture with domain reduction to the positive octant approximates polyconvex envelopes of isotropic functions more efficiently than existing necessary-and-sufficient methods, demonstrated on Saint Venant-Kirchhoff energy.
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On the Hyperelastic Behavior of the Boar Diaphragmatic Tendon Membrane by Inflation Tests and Modeling
Experimental inflation tests show that a transversely isotropic Humphrey-Yin hyperelastic model captures the biaxial nonlinear response of porcine diaphragmatic central tendon better than isotropic models like Fung or Yeoh.