Fhcnnbio: a fiber-reinforced hyperelastic constitutive neural network model for biological tissues with prior physical information

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Názov: Fhcnnbio: a fiber-reinforced hyperelastic constitutive neural network model for biological tissues with prior physical information
Autori: Dongliang Tan, Huamin Yang, Weili Shi, Jun Qin, Feng Qu, Wei He, Yu Miao, Zhengang Jiang
Zdroj: Complex & Intelligent Systems, Vol 11, Iss 10, Pp 1-19 (2025)
Informácie o vydavateľovi: Springer, 2025.
Rok vydania: 2025
Zbierka: LCC:Electronic computers. Computer science
LCC:Information technology
Predmety: Physics-informed neural networks, Constitutive modeling, Nonlinear mechanics, Biological tissues, Artificial intelligence, Anisotropic hyperelasticity, Electronic computers. Computer science, QA75.5-76.95, Information technology, T58.5-58.64
Popis: Abstract Accurate constitutive model for biological soft tissue deformation poses significant challenges, particularly under large deformations, crucial for applications in computer-assisted surgical intervention and biomedical engineering. Expert-constructed models are are typically developed with a specific material in mind, rendering them challenging to transfer to other materials. Meanwhile, existing neural network-based approaches are primarily focused on modeling the behavior of isotropic materials, with a notable scarcity of approaches being specifically designed and optimized for the complex behavior of biological soft tissues. This study introduces FHCNNBio, a data-driven hyperelastic constitutive neural network model specifically designed for biological tissues. FHCNNBio incorporates fiber-reinforced invariants to characterize the anisotropic properties of biological tissues, while also proposing a weight-adaptive factor to represent the probabilistic dependencies between fiber orientations and invariant measures. By leveraging invariant-based theory from continuum mechanics and input convex neural networks, FHCNNBio ensures physical symmetry, objectivity, and numerical stability. Extensive evaluations on real-world benchmarks, finite element simulations, and analytical models demonstrate FHCNNBio’s superior performance, adapting flexibly to various material parameters without requiring retraining. FHCNNBio’s generalizability and applicability enable precise material property characterization, facilitating advancements in engineering practice and virtual reality simulations. The developed source code and accompanying example data sets are available at https://github.com/ReFantasy/FHCNNBio .
Druh dokumentu: article
Popis súboru: electronic resource
Jazyk: English
ISSN: 2199-4536
2198-6053
Relation: https://doaj.org/toc/2199-4536; https://doaj.org/toc/2198-6053
DOI: 10.1007/s40747-025-02071-9
Prístupová URL adresa: https://doaj.org/article/865cfb4fb8544b0ca4ff9d93c66e6397
Prístupové číslo: edsdoj.865cfb4fb8544b0ca4ff9d93c66e6397
Databáza: Directory of Open Access Journals
Popis
Abstrakt:Abstract Accurate constitutive model for biological soft tissue deformation poses significant challenges, particularly under large deformations, crucial for applications in computer-assisted surgical intervention and biomedical engineering. Expert-constructed models are are typically developed with a specific material in mind, rendering them challenging to transfer to other materials. Meanwhile, existing neural network-based approaches are primarily focused on modeling the behavior of isotropic materials, with a notable scarcity of approaches being specifically designed and optimized for the complex behavior of biological soft tissues. This study introduces FHCNNBio, a data-driven hyperelastic constitutive neural network model specifically designed for biological tissues. FHCNNBio incorporates fiber-reinforced invariants to characterize the anisotropic properties of biological tissues, while also proposing a weight-adaptive factor to represent the probabilistic dependencies between fiber orientations and invariant measures. By leveraging invariant-based theory from continuum mechanics and input convex neural networks, FHCNNBio ensures physical symmetry, objectivity, and numerical stability. Extensive evaluations on real-world benchmarks, finite element simulations, and analytical models demonstrate FHCNNBio’s superior performance, adapting flexibly to various material parameters without requiring retraining. FHCNNBio’s generalizability and applicability enable precise material property characterization, facilitating advancements in engineering practice and virtual reality simulations. The developed source code and accompanying example data sets are available at https://github.com/ReFantasy/FHCNNBio .
ISSN:21994536
21986053
DOI:10.1007/s40747-025-02071-9