IWPDF2023

A Stochastic Phase-Field Approach for Ductile-Like Fracture of Rubber Like Materials

K. Açıkgöz ∗ , B. E. Tanış, H. Dal

Department of Mechanical Engineering, Middle East Technical University, Ankara 06800, Turkey

∗ akemala@metu.edu.tr

Keywords: phase-field fracture, stochastic failure, ductile-like failure

The classical phase-field approach [1] assumes a homogenized distribution of the critical energy release rate over the material, which inevitably triggers catastrophic failure, leading to a brittle failure in the simulations. The experimental studies show, on the other hand, a ductile-like failure for rubber-like materials [2]. This behavior is extremely important for phase-field modeling of fatigue crack growth. In this work, a stochastic distribution of the critical energy release rate, in the form of critical entropic energy distribution, governed by fuzzy rules is analyzed. The stochastic properties of the unfilled SBR in a series of fracture experiments on die-cut v-shape double edge notched specimens are demonstrated first over their characteristic ductile like behavior on load-displacement curves and by comparison with laser-cut specimens where we see sharp brittle fracture. The work is validated over experiments from literature and in-house experiments on double edge v-notched unfilled SBR specimens. It is shown that the ductile-like fracture is intermittent as in experiments, following non-straight complex fracture paths over otherwise completely symmetric specimens. References [1] Miehe, C., Hofacker, M., Welschinger, F. (2010). A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits. Computer Meth ods in Applied Mechanics and Engineering, 199, 2765-2778. [2] Wu, J., McAuliffe, C., Waisman, H., Deodatis, G. (2016). Stochastic analysis of polymer composites rupture at large deformations modeled by a phase field method. Computer Methods in Applied Mechanics and Engineering, 312, 596-634.

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