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 inarXiv.org
Main Authors Torre, Michele, Morganti, Simone, Nitti, Alessandro, Marco Donato de Tullio, Kiendl, Josef, Francesco Silvio Pasqualini, Reali, Alessandro
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.06.2024
Subjects
Computer Science - Numerical Analysis
Mathematics - Numerical Analysis
Thin films
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ISSN2331-8422
DOI10.48550/arxiv.2406.07102

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Summary: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.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2406.07102