Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch
Data-driven simulations are gaining popularity in mechanics of biomaterials since they do not require explicit form of constitutive relations. Data-driven modeling based on neural networks lacks interpretability. In this study, we propose an interpretable data-driven finite element modeling for hype...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-02-01
|
| Series: | Computation |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-3197/12/3/39 |
| _version_ | 1827306607381315584 |
|---|---|
| author | Alexey Liogky Victoria Salamatova |
| author_facet | Alexey Liogky Victoria Salamatova |
| author_sort | Alexey Liogky |
| collection | DOAJ |
| description | Data-driven simulations are gaining popularity in mechanics of biomaterials since they do not require explicit form of constitutive relations. Data-driven modeling based on neural networks lacks interpretability. In this study, we propose an interpretable data-driven finite element modeling for hyperelastic materials. This approach employs the Laplace stretch as the strain measure and utilizes response functions to define constitutive equations. To validate the proposed method, we apply it to inflation of anisotropic membranes on the basis of synthetic data for porcine skin represented by Holzapfel-Gasser-Ogden model. Our results demonstrate applicability of the method and show good agreement with reference displacements, although some discrepancies are observed in the stress calculations. Despite these discrepancies, the proposed method demonstrates its potential usefulness for simulation of hyperelastic biomaterials. |
| first_indexed | 2024-04-24T18:25:21Z |
| format | Article |
| id | doaj.art-25094de1591946729aedcf7fe4199286 |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-04-24T18:25:21Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-25094de1591946729aedcf7fe41992862024-03-27T13:31:53ZengMDPI AGComputation2079-31972024-02-011233910.3390/computation12030039Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace StretchAlexey Liogky0Victoria Salamatova1Scientific Center for Information Technology and Artificial Intelligence, Sirius University of Science and Technology, 1 Olympiyskii pr., Sochi 354340, RussiaScientific Center for Information Technology and Artificial Intelligence, Sirius University of Science and Technology, 1 Olympiyskii pr., Sochi 354340, RussiaData-driven simulations are gaining popularity in mechanics of biomaterials since they do not require explicit form of constitutive relations. Data-driven modeling based on neural networks lacks interpretability. In this study, we propose an interpretable data-driven finite element modeling for hyperelastic materials. This approach employs the Laplace stretch as the strain measure and utilizes response functions to define constitutive equations. To validate the proposed method, we apply it to inflation of anisotropic membranes on the basis of synthetic data for porcine skin represented by Holzapfel-Gasser-Ogden model. Our results demonstrate applicability of the method and show good agreement with reference displacements, although some discrepancies are observed in the stress calculations. Despite these discrepancies, the proposed method demonstrates its potential usefulness for simulation of hyperelastic biomaterials.https://www.mdpi.com/2079-3197/12/3/39data-driven hyperelasticityLaplace stretchmembrane |
| spellingShingle | Alexey Liogky Victoria Salamatova Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch Computation data-driven hyperelasticity Laplace stretch membrane |
| title | Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch |
| title_full | Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch |
| title_fullStr | Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch |
| title_full_unstemmed | Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch |
| title_short | Data-Driven Anisotropic Biomembrane Simulation Based on the Laplace Stretch |
| title_sort | data driven anisotropic biomembrane simulation based on the laplace stretch |
| topic | data-driven hyperelasticity Laplace stretch membrane |
| url | https://www.mdpi.com/2079-3197/12/3/39 |
| work_keys_str_mv | AT alexeyliogky datadrivenanisotropicbiomembranesimulationbasedonthelaplacestretch AT victoriasalamatova datadrivenanisotropicbiomembranesimulationbasedonthelaplacestretch |