An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916283023360000 |
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| author | Torre, Michele Morganti, Simone Nitti, Alessandro de Tullio, Marco Donato Kiendl, Josef Pasqualini, Francesco Silvio Reali, Alessandro |
| author_facet | Torre, Michele Morganti, Simone Nitti, Alessandro de Tullio, Marco Donato Kiendl, Josef Pasqualini, Francesco Silvio Reali, Alessandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07102 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations Torre, Michele Morganti, Simone Nitti, Alessandro de Tullio, Marco Donato Kiendl, Josef Pasqualini, Francesco Silvio Reali, Alessandro Numerical Analysis 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. |
| title | An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2406.07102 |