Thermodynamic regularization based computational framework for strain-induced crystallization
Abstract
Strain-induced crystallization is a type of phase transition in natural rubbers triggered by deformation. The computation of this phenomenon necessitates proper numerical regularization due to the loss of ellipticity at the onset of strain-induced crystallization. This challenge is intensified by the absence of internal dissipation in such thermodynamic irreversible process, which precludes the use of dissipation potentials commonly employed in the literature. In this paper, we extend the recently developed thermodynamic regularization technique (i.e., regularization on the basis of thermodynamics of internal variables) to the case of natural rubbers, and formulate a novel computational framework for strain-induced crystallization which exhibits no internal dissipation. The computational framework coupling four fields (displacement, temperature and two nonlocal interactions) is then demonstrated through multiple numerical benchmarks and comparison with experimental data.
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BibTeX
@article{jabareen2026thermodynamic,
title = {{Thermodynamic regularization based computational framework for strain-induced crystallization}},
author = {Mahmood Jabareen and Vu Nguyen-Xuan and Mikhail Itskov and Jean-Benoit Le Cam and Vu Ngoc Khiem},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2026},
month = sep,
doi = {10.1016/j.cma.2026.119246},
url = {https://hal.science/hal-05767362v1},
note = {CC BY},
}
RIS
TY - JOUR
TI - Thermodynamic regularization based computational framework for strain-induced crystallization
AU - Mahmood Jabareen
AU - Vu Nguyen-Xuan
AU - Mikhail Itskov
AU - Jean-Benoit Le Cam
AU - Vu Ngoc Khiem
PY - 2026
DA - 2026/09/28
JO - Computer Methods in Applied Mechanics and Engineering
DO - 10.1016/j.cma.2026.119246
UR - https://hal.science/hal-05767362v1
AB - Strain-induced crystallization is a type of phase transition in natural rubbers triggered by deformation. The computation of this phenomenon necessitates proper numerical regularization due to the loss of ellipticity at the onset of strain-induced crystallization. This challenge is intensified by the absence of internal dissipation in such thermodynamic irreversible process, which precludes the use of dissipation potentials commonly employed in the literature. In this paper, we extend the recently developed thermodynamic regularization technique (i.e., regularization on the basis of thermodynamics of internal variables) to the case of natural rubbers, and formulate a novel computational framework for strain-induced crystallization which exhibits no internal dissipation. The computational framework coupling four fields (displacement, temperature and two nonlocal interactions) is then demonstrated through multiple numerical benchmarks and comparison with experimental data.
SN - 0045-7825
SN - 1879-2138
ER -