Soft Tissue Hybrid Model for Real-Time Simulations
In this article, a recent formulation for real-time simulation is developed combining the strain energy density of the Spring Mass Model (SMM) with the equivalent representation of the Strain Energy Density Function (SEDF). The resulting Equivalent Energy Spring Model (EESM) is expected to provide i...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Polymers |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4360/14/7/1407 |
| _version_ | 1797437889519288320 |
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| author | Mario R. Moreno-Guerra Oscar Martínez-Romero Luis Manuel Palacios-Pineda Daniel Olvera-Trejo José A. Diaz-Elizondo Eduardo Flores-Villalba Jorge V. L. da Silva Alex Elías-Zúñiga Ciro A. Rodriguez |
| author_facet | Mario R. Moreno-Guerra Oscar Martínez-Romero Luis Manuel Palacios-Pineda Daniel Olvera-Trejo José A. Diaz-Elizondo Eduardo Flores-Villalba Jorge V. L. da Silva Alex Elías-Zúñiga Ciro A. Rodriguez |
| author_sort | Mario R. Moreno-Guerra |
| collection | DOAJ |
| description | In this article, a recent formulation for real-time simulation is developed combining the strain energy density of the Spring Mass Model (SMM) with the equivalent representation of the Strain Energy Density Function (SEDF). The resulting Equivalent Energy Spring Model (EESM) is expected to provide information in real-time about the mechanical response of soft tissue when subjected to uniaxial deformations. The proposed model represents a variation of the SMM and can be used to predict the mechanical behavior of biological tissues not only during loading but also during unloading deformation states. To assess the accuracy achieved by the EESM, experimental data was collected from liver porcine samples via uniaxial loading and unloading tensile tests. Validation of the model through numerical predictions achieved a refresh rate of 31 fps (31.49 ms of computation time for each frame), achieving a coefficient of determination <i>R</i><sup>2</sup> from 93.23% to 99.94% when compared to experimental data. The proposed hybrid formulation to characterize soft tissue mechanical behavior is fast enough for real-time simulation and captures the soft material nonlinear virgin and stress-softened effects with high accuracy. |
| first_indexed | 2024-03-09T11:29:11Z |
| format | Article |
| id | doaj.art-1465f29b8e2140529fc13797a837131a |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-09T11:29:11Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-1465f29b8e2140529fc13797a837131a2023-11-30T23:54:00ZengMDPI AGPolymers2073-43602022-03-01147140710.3390/polym14071407Soft Tissue Hybrid Model for Real-Time SimulationsMario R. Moreno-Guerra0Oscar Martínez-Romero1Luis Manuel Palacios-Pineda2Daniel Olvera-Trejo3José A. Diaz-Elizondo4Eduardo Flores-Villalba5Jorge V. L. da Silva6Alex Elías-Zúñiga7Ciro A. Rodriguez8Mechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey 64849, NL, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey 64849, NL, MexicoTecnológico Nacional de Mexico, Instituto Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, Pachuca de Soto 42080, HG, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey 64849, NL, MexicoEscuela de Medicina y Ciencias de la Salud, Tecnológico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, NL, MexicoEscuela de Medicina y Ciencias de la Salud, Tecnológico de Monterrey, Avenida Eugenio Garza Sada 2501, Monterrey 64849, NL, MexicoDT3D/CTI, Rodovia Dom Pedro I (SP-65), Km 143,6-Amarais-Campinas, Campinas 13069-901, SP, BrazilMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey 64849, NL, MexicoMechanical Engineering and Advanced Materials Department, School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey 64849, NL, MexicoIn this article, a recent formulation for real-time simulation is developed combining the strain energy density of the Spring Mass Model (SMM) with the equivalent representation of the Strain Energy Density Function (SEDF). The resulting Equivalent Energy Spring Model (EESM) is expected to provide information in real-time about the mechanical response of soft tissue when subjected to uniaxial deformations. The proposed model represents a variation of the SMM and can be used to predict the mechanical behavior of biological tissues not only during loading but also during unloading deformation states. To assess the accuracy achieved by the EESM, experimental data was collected from liver porcine samples via uniaxial loading and unloading tensile tests. Validation of the model through numerical predictions achieved a refresh rate of 31 fps (31.49 ms of computation time for each frame), achieving a coefficient of determination <i>R</i><sup>2</sup> from 93.23% to 99.94% when compared to experimental data. The proposed hybrid formulation to characterize soft tissue mechanical behavior is fast enough for real-time simulation and captures the soft material nonlinear virgin and stress-softened effects with high accuracy.https://www.mdpi.com/2073-4360/14/7/1407spring–mass modelstress softening effects (Mullin’s effect)non-Gaussian modelbiomaterial residual strainsbiological tissuesreal-time simulations |
| spellingShingle | Mario R. Moreno-Guerra Oscar Martínez-Romero Luis Manuel Palacios-Pineda Daniel Olvera-Trejo José A. Diaz-Elizondo Eduardo Flores-Villalba Jorge V. L. da Silva Alex Elías-Zúñiga Ciro A. Rodriguez Soft Tissue Hybrid Model for Real-Time Simulations Polymers spring–mass model stress softening effects (Mullin’s effect) non-Gaussian model biomaterial residual strains biological tissues real-time simulations |
| title | Soft Tissue Hybrid Model for Real-Time Simulations |
| title_full | Soft Tissue Hybrid Model for Real-Time Simulations |
| title_fullStr | Soft Tissue Hybrid Model for Real-Time Simulations |
| title_full_unstemmed | Soft Tissue Hybrid Model for Real-Time Simulations |
| title_short | Soft Tissue Hybrid Model for Real-Time Simulations |
| title_sort | soft tissue hybrid model for real time simulations |
| topic | spring–mass model stress softening effects (Mullin’s effect) non-Gaussian model biomaterial residual strains biological tissues real-time simulations |
| url | https://www.mdpi.com/2073-4360/14/7/1407 |
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