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Improved Carroll's hyperelastic model considering compressibility and its finite element implementation

Improved Carroll's hyperelastic model considering compressibility and its finite element... In engineering component design, material models are increasingly used in finite element simulations for an expeditious and less costly analysis of the design prototypes. As such, researchers strive to formulate models that are less complex, robust, and accurate. In the realm of hyperelastic materials, phenomenological-based Carroll's model is highly promising due to its simplicity and accuracy. This work proposes its further improvement by modifying the strain energy density function to comply with the restriction that it should vanish at reference configuration and adding a compressible term to capture the practical behavior of elastomeric materials and to avoid numerical problems during finite element implementation. The model constants for both the original and the modified versions were obtained by fitting their respective expressions to the classical Treloar's experimental data using the Levenberg–Marquardt algorithm. The modified model was implemented using Abaqus CAE 2016 via a vectorized user material (VUMAT) subroutine. Comparisons of the model predictions with Treloar's experimental data demonstrated the superiority of the modified version particularly in the equibiaxial loading mode. Moreover, the simulated and the experimentally observed behavior agreed to a great accuracy thus making the modified model suitable for simulating the loading response of components fabricated of elastomeric materials.Graphic AbstractIn this work, the Carroll's hyperelastic model strain energy density expression is modified to comply with the mathematical restriction that it should vanish at the undeformed configuration. Furthermore, a compressible term is added to capture the practical behavior of elastomers and to avoid numerical problems during finite element implementation. Numerical and finite element predictions are compared with classical experimental data upon which the modified model demonstrated superior predictive capabilities particularly in the equibiaxial loading mode.[graphic not available: see fulltext] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

Improved Carroll's hyperelastic model considering compressibility and its finite element implementation

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References (46)

Publisher
Springer Journals
Copyright
Copyright © The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2021
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/s10409-021-01064-4
Publisher site
See Article on Publisher Site

Abstract

In engineering component design, material models are increasingly used in finite element simulations for an expeditious and less costly analysis of the design prototypes. As such, researchers strive to formulate models that are less complex, robust, and accurate. In the realm of hyperelastic materials, phenomenological-based Carroll's model is highly promising due to its simplicity and accuracy. This work proposes its further improvement by modifying the strain energy density function to comply with the restriction that it should vanish at reference configuration and adding a compressible term to capture the practical behavior of elastomeric materials and to avoid numerical problems during finite element implementation. The model constants for both the original and the modified versions were obtained by fitting their respective expressions to the classical Treloar's experimental data using the Levenberg–Marquardt algorithm. The modified model was implemented using Abaqus CAE 2016 via a vectorized user material (VUMAT) subroutine. Comparisons of the model predictions with Treloar's experimental data demonstrated the superiority of the modified version particularly in the equibiaxial loading mode. Moreover, the simulated and the experimentally observed behavior agreed to a great accuracy thus making the modified model suitable for simulating the loading response of components fabricated of elastomeric materials.Graphic AbstractIn this work, the Carroll's hyperelastic model strain energy density expression is modified to comply with the mathematical restriction that it should vanish at the undeformed configuration. Furthermore, a compressible term is added to capture the practical behavior of elastomers and to avoid numerical problems during finite element implementation. Numerical and finite element predictions are compared with classical experimental data upon which the modified model demonstrated superior predictive capabilities particularly in the equibiaxial loading mode.[graphic not available: see fulltext]

Journal

"Acta Mechanica Sinica"Springer Journals

Published: May 1, 2021

Keywords: Elastomers; Rubber-like; Strain energy function; Finite deformation

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