Thermodynamic regularization based computational framework for strain-induced crystallization

Computer Methods in Applied Mechanics and Engineering, vol. 462, pp. 119246

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.

Authors 5

1. Mahmood Jabareen corresponding

   ETH Zurich · Technion – Israel Institute of Technology · Institute of Mechanical Systems

   Affiliation as printed

   ETH Zurich, Department of Mechanical and Process Engineering, Institute for Mechanical Systems, Zurich, Switzerland

   Technion Israel Institute of Technology, Faculty of Civil and Environmental Engineering, Technion City, Haifa 3200003, Israel

2. Vu Nguyen-Xuân Aachen Department of Continuum Mechanics

   RWTH Aachen University

   Affiliation as printed

   Department of Continuum Mechanics, RWTH Aachen University, Eilfschornsteinstr. 18, 52062 Aachen, Germany

3. Mikhail Itskov Aachen Department of Continuum Mechanics

   RWTH Aachen University

   Affiliation as printed

   Department of Continuum Mechanics, RWTH Aachen University, Eilfschornsteinstr. 18, 52062 Aachen, Germany

4. Jean‐Benoît Le Cam

   Centre National de la Recherche Scientifique · Institut de Physique de Rennes

   Affiliation as printed

   Université de Rennes , CNRS , IPR (Institut de Physique de Rennes) - UMR 6251 , F-35000 Rennes , France

5. Vu Ngoc Khiêm corresponding Aachen Department of Continuum Mechanics

   RWTH Aachen University

   Affiliation as printed

   Department of Continuum Mechanics, RWTH Aachen University, Eilfschornsteinstr. 18, 52062 Aachen, Germany