An efficient active-stress electromechanical isogeometric shell model for muscular thin film simulations

TL;DR

This paper introduces an efficient isogeometric shell model for simulating the deformation of active thin films, capturing both static and dynamic contraction behaviors with high accuracy.

Contribution

It presents a novel isogeometric approach combining Collocation and Galerkin methods for electrophysiological and mechanical modeling of active thin films.

Findings

Successfully simulates contraction of thin films in static and dynamic regimes

Demonstrates high accuracy and flexibility of the proposed numerical methods

Validates the approach with numerical tests showing effective performance

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.