Journal
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING
Volume 17, Issue 2, Pages 181-200Publisher
BEGELL HOUSE INC
DOI: 10.1615/IntJMultCompEng.2018026804
Keywords
virtual element method (VEM); phase field modeling; ductile fracture; elastic-viscoplastic solids
Funding
- German Research Foundation (DFG) in COLLABORATIVE RESEARCH CENTER CRC 1153 Process chain for the production of hybrid high-performance components through tailored forming
- German Research Foundation (DFG) in PRIORITY PROGRAM SPP 2020 [WR 19/58-1]
- German Research Foundation (DFG) in PRIORITY PROGRAM SPP 1748 [WR 19/50-1]
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An efficient low-order virtual element method (VEM) for the phase field modeling of ductile fracture is outlined within this work. The recently developed VEM is a competitive discretization scheme for meshes with highly irregular shaped elements. The phase-field approach is a very powerful technique to simulate complex crack phenomena in multi-physical environments. The formulation in this contribution is based on a minimization of a pseudo-potential density functional for the coupled problem undergoing large strains. The main aspect of development is the extension toward the virtual element formulation due to its flexibility in dealing with complex shapes and arbitrary number of nodes. Two numerical examples illustrate the efficiency, accuracy, and convergence properties of the proposed method.
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