G-MAP123: A mechanistic-based data-driven approach for 3D nonlinear elastic modeling — Via both uniaxial and equibiaxial tension experimental data
Author's Department
Mechanical Engineering Department
Find in your Library
https://doi.org/10.1016/j.eml.2021.101545
Document Type
Research Article
Publication Title
Extreme Mechanics Letters
Publication Date
1-1-2022
doi
10.1016/j.eml.2021.101545
Abstract
This work proposes a data-driven approach, G-MAP123, using discrete data directly for nonlinear elastic materials to solve boundary value problems, avoiding analytic-function based constitutive models. G-MAP123 is formulated in the current configuration in which the Cauchy stress and the left Cauchy–Green strain are adopted as the stress–strain measures of the data. Data generated under both uniaxial tension and equibiaxial tension experiments is used. A data search employing stress triaxiality as the index is here proposed for the stress update. Furthermore, including additional data from other loading paths is also rendered possible. Comparison with reference analytic-function based models such as Arruda–Boyce, Yeoh, Mooney–Rivlin and Van der Waals is carried out. Results show that the predictions from G-MAP123 are in agreement with all those of the reference models. Moreover, the classic experimental data of rubber from Treloar is here used to demonstrate the capability of the proposed G-MAP123 in the practical setting. This approach opens a new avenue to modeling soft materials accurately and conveniently at large deformation, directly from the data.
First Page
1
Last Page
15
Recommended Citation
APA Citation
Chen, J.
Yang, H.
Elkhodary, K.
&
Tang, S.
(2022). G-MAP123: A mechanistic-based data-driven approach for 3D nonlinear elastic modeling — Via both uniaxial and equibiaxial tension experimental data. Extreme Mechanics Letters, 50, 1–15.
10.1016/j.eml.2021.101545
https://fount.aucegypt.edu/faculty_journal_articles/4778
MLA Citation
Chen, Jie, et al.
"G-MAP123: A mechanistic-based data-driven approach for 3D nonlinear elastic modeling — Via both uniaxial and equibiaxial tension experimental data." Extreme Mechanics Letters, vol. 50, 2022, pp. 1–15.
https://fount.aucegypt.edu/faculty_journal_articles/4778