Porous-ductile fracture in thermo-elasto-plastic solids with contact applications

authored by: M. Krüger, M. Dittmann, F. Aldakheel, A. Härtel, P. Wriggers, C. Hesch
Abstract: Industrial forming processes depend on several physical effects, including large deformation thermomechanical damage, localized near the contact zone of the forming tools. The main challenge in this process relies on the detailed knowledge of the desired thermoplastic effects at finite strains and the undesired initiation of macro-cracks. For the numerical solution of this problem, a regularized sharp crack surface in the framework of a phase-field approach is combined here with a modified, thermomechanical Gurson–Tvergaard–Needelman GTN-type plasticity model, such that we obtain a thermodynamically consistent framework. This allows to adapt this highly complex multi-field model using variationally consistent Mortar contact formulations in a straightforward manner. Eventually, the proposed approach is tested on complex three-dimensional geometries, emanating from industrial relevant forming processes.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Siegen
Type: Article
Journal: Computational mechanics
Volume: 65
Pages: 941-966
No. of pages: 26
ISSN: 0178-7675
Publication date: 04.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-019-01802-3 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{baf5b8fec592424b9ab720032f014b18,
title = "Porous-ductile fracture in thermo-elasto-plastic solids with contact applications",
abstract = "Industrial forming processes depend on several physical effects, including large deformation thermomechanical damage, localized near the contact zone of the forming tools. The main challenge in this process relies on the detailed knowledge of the desired thermoplastic effects at finite strains and the undesired initiation of macro-cracks. For the numerical solution of this problem, a regularized sharp crack surface in the framework of a phase-field approach is combined here with a modified, thermomechanical Gurson–Tvergaard–Needelman GTN-type plasticity model, such that we obtain a thermodynamically consistent framework. This allows to adapt this highly complex multi-field model using variationally consistent Mortar contact formulations in a straightforward manner. Eventually, the proposed approach is tested on complex three-dimensional geometries, emanating from industrial relevant forming processes.",
keywords = "Ductile fracture modeling, Finite deformations, GTN model, Mortar contact method, Phase-field approach, Thermomechanics",
author = "M. Kr{\"u}ger and M. Dittmann and F. Aldakheel and A. H{\"a}rtel and P. Wriggers and C. Hesch",
note = "Funding Information: Support for this research was provided by the Deutsche Forschungsgemeinschaft (DFG) under Grants HE5943/8-1 and DI2306/1-1. This support is gratefully acknowledged.",
year = "2020",
month = apr,
doi = "10.1007/s00466-019-01802-3",
language = "English",
volume = "65",
pages = "941--966",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "4",
}