Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 200, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2021.106424
Keywords
Phase-field; Ductile fracture; Shear band; Parallel implementation
Categories
Funding
- CYTED project (Ibero-American Program to Promote Science and Technology) through the CADING network (Ibero-American Network for High Performance Computing in Engineering) [P515RT0031]
- EU H2020-MSCA-RISE-2016 project BESTOFRAC: Environmentally best practices and optimisation in hydraulic fracturing for shale gas/oil development
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This study contributes to the understanding of localized failure mechanisms using phase fields in a variational framework. It introduces a new degradation function to distinguish between plastic strain localization and ductile fracture mechanisms, and proposes a parallel implementation of the phase-field approach to tackle potential high computational costs. Several examples demonstrate the capabilities of this implementation in capturing different failure mechanisms.
Modeling complex material failure with competing mechanisms is a difficult task that often leads to mathematical and numerical challenges. This work contributes to the study of localized failure mechanisms by means of phase fields in a variational framework: in addition to the treatment of brittle and ductile fracture, done in previous work, we consider the case of shear band formation followed by ductile fracture. To achieve this, a new degradation function is introduced, which distinguishes between two successive failure mechanisms: (i) plastic strain localization and (ii) ductile fracture. Specifically, the onset of elastic damage is delayed to allow for the formation of shear bands driven by plastic deformations, thus accounting for the mechanisms that precede the coalescence of voids and microcracks into macroscopic ductile fractures. Once a critical degradation value has been reached, a phase-field model is introduced to capture the (regularized) kinematics of macroscopic cracks. To tackle the issue of potentially high computational cost, we propose a parallel implementation of the phase-field approach based on an iterative algorithm. The algorithm was implemented within the Alya system, a high performance computational mechanics code. Several examples show the capabilities of our implementation. We pay special attention to the ability to capture different failure mechanisms.
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