Data-Based Approach to Hyperelastic Membranes
Abstract
We study large deformations of hyperelastic membranes using a purely two-dimensional formulation derived from basic balance principles within a modern geometric setting, ensuring a framework that is independent of an underlying three-dimensional formulation. To assess the predictive capabilities of membrane theory, we compare numerical solutions to experimental data from axisymmetric deformations of a silicone rubber film. Five hyperelastic models - Neo-Hookean, Mooney-Rivlin, Gent, Yeoh, and Ogden - are evaluated by fitting their material parameters to our experimental data using TensorFlow. Our results provide a systematic comparison of these models based on their accuracy in capturing observed deformations, establishing a framework for integrating theory, experiment, and data-based parameter identification.
Cite
@article{arxiv.2504.07120,
title = {Data-Based Approach to Hyperelastic Membranes},
author = {Claudia Grabs and Werner Wirges},
journal= {arXiv preprint arXiv:2504.07120},
year = {2025}
}
Comments
36 pages, 15 figures, 9 tables