Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials
Date
2023-10-01
Author
Dal, Hüsnü
Denli, Funda Aksu
Açan, Alp Kağan
Kaliske, Michael
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
72
views
0
downloads
Cite This
Data-driven hyperelasticity shows great promise for modeling the mechanical response of rubberlike materials. It enables an automated linkage between experimental data and me chanical response without a priori knowledge of specific analytical expression for the strain energy density function or the stress expression. In this study, we propose a new data-driven approach with three distinct kinematic approaches; (i) invariant-based formulation, (ii) modified invariant-based approach, and (iii) principal stretch-based formulation to model the hyperelastic response of rubberlike materials. Within this context, we replace the partial derivatives of the strain energy density functions with appropriate B-spline interpolations, using a set of control points to implement various multiaxial loading scenarios, such as uniaxial tension, pure shear, and equibiaxial tension deformations. To ensure a polyconvex and stable constitutive response, we enforce the polyconvexity requirement into the B-spline interpolation along with appropriate normalization conditions. In order to obtain the control points of the B-splines, we train the proposed data-driven approach with respect to the Treloar and Kawabata datasets. On the numerical side, the stress and moduli expressions are derived for the finite element implementation. The predictive capabilities of the proposed approach are demonstrated through representative boundary value problems.
URI
https://hdl.handle.net/11511/105039
Journal
Journal of the Mechanics and Physics of Solids
DOI
https://doi.org/10.1016/j.jmps.2023.105381
Collections
Department of Mechanical Engineering, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
H. Dal, F. A. Denli, A. K. Açan, and M. Kaliske, “Data-driven hyperelasticity, Part I: A canonical isotropic formulation for rubberlike materials,”
Journal of the Mechanics and Physics of Solids
, vol. 179, pp. 105381–105381, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/105039.