An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations
We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and Galerkin formulations are employed to discretize the electrophysiological and mechanical sub-problems, respectively, with the possibility to...
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| Published in | arXiv.org |
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| Main Authors | , , , , , , |
| Format | Paper Journal Article |
| Language | English |
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Ithaca
Cornell University Library, arXiv.org
11.06.2024
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| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.2406.07102 |
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| Abstract | We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and Galerkin formulations are employed to discretize the electrophysiological and mechanical sub-problems, respectively, with the possibility to adopt different element and time-step sizes. Numerical tests illustrate the capabilities of the active stress based approach to effectively simulate the contraction of thin films in both quasi-static and dynamic conditions. |
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| AbstractList | We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and Galerkin formulations are employed to discretize the electrophysiological and mechanical sub-problems, respectively, with the possibility to adopt different element and time-step sizes. Numerical tests illustrate the capabilities of the active stress based approach to effectively simulate the contraction of thin films in both quasi-static and dynamic conditions. We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and Galerkin formulations are employed to discretize the electrophysiological and mechanical sub-problems, respectively, with the possibility to adopt different element and time-step sizes. Numerical tests illustrate the capabilities of the active stress based approach to effectively simulate the contraction of thin films in both quasi-static and dynamic conditions. |
| Author | Nitti, Alessandro Torre, Michele Marco Donato de Tullio Kiendl, Josef Francesco Silvio Pasqualini Morganti, Simone Reali, Alessandro |
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| BackLink | https://doi.org/10.48550/arXiv.2406.07102$$DView paper in arXiv https://doi.org/10.1016/j.mechmat.2024.105046$$DView published paper (Access to full text may be restricted) |
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| DOI | 10.48550/arxiv.2406.07102 |
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| Snippet | We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and... We propose an isogeometric approach to model the deformation of active thin films using layered, nonlinear, Kirchhoff Love shells. Isogeometric Collocation and... |
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| Title | An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations |
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