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Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization
Author(s) -
Christian Miehé,
Stephan Teichtmeister,
Fadi Aldakheel
Publication year - 2016
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2015.0170
Subject(s) - classification of discontinuities , plasticity , regularization (linguistics) , objectivity (philosophy) , materials science , mechanics , fracture mechanics , fracture (geology) , mathematics , physics , mathematical analysis , computer science , composite material , artificial intelligence , philosophy , epistemology
This work outlines a novel variational-based theory for the phase-field modelling of ductile fracture in elastic–plastic solids undergoing large strains. The phase-field approach regularizes sharp crack surfaces within a pure continuum setting by a specific gradient damage modelling. It is linked to a formulation of gradient plasticity at finite strains. The framework includes two independent length scales which regularize both the plastic response as well as the crack discontinuities. This ensures that the damage zones of ductile fracture are inside of plastic zones, and guarantees on the computational side a mesh objectivity in post-critical ranges.

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