Premium
A Monolithic Solution Scheme for a Phase Field Model of Ductile Fracture
Author(s) -
Noll Timo,
Kuhn Charlotte,
Müller Ralf
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710023
Subject(s) - dissipation , coupling (piping) , fracture (geology) , field (mathematics) , phase (matter) , materials science , function (biology) , scheme (mathematics) , energy (signal processing) , mechanics , degradation (telecommunications) , structural engineering , computer science , composite material , physics , mathematical analysis , mathematics , thermodynamics , engineering , telecommunications , quantum mechanics , evolutionary biology , biology , pure mathematics
A phase field model for elastic‐plastic fracture is presented, which is based on an energy functional composed of an elastic energy contribution, a plastic dissipation potential and a fracture energy. The coupling of the mechanical fields with the fracture field is modeled by a degradation function. Due to the proposed coupling it is possible to solve the global system of differential equations in a monolithic iterative solution scheme. Numerical simulations are presented, where the choice of the degradation function is investigated and a staggered is compared to monolithic iteration scheme. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)