Details
| Original language | English |
|---|---|
| Pages (from-to) | 71-94 |
| Number of pages | 24 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 342 |
| Publication status | Published - 30 Jul 2018 |
Abstract
Variationally consistent phase-field methods have been well established in the recent decade. A wide range of applications to brittle and ductile fracture problems could already demonstrate the ability to predict complex crack patterns in three-dimensional geometries. However, current phase-field models to ductile fracture are not formulated for both, material and geometrical non-linearities. In this contribution we present a computational framework to account for three-dimensional fracture in ductile solids undergoing large elastic and plastic deformations. The proposed model is based on a triple multiplicative decomposition of the deformation gradient and an exponential update scheme for the return map in the time discrete setting. This increases the accuracy on the entire range of the ductile material behavior encompassing elastoplasticity, hardening, necking, crack initiation and propagation. The accuracy and convergence properties are further improved by the application of a higher order phase-field regularization and a gradient enhanced plasticity model. To account for the ductile behavior at fracture, a model of the critical fracture energy density depending on the equivalent plastic strain is proposed and validated by experimental data.
Keywords
- Ductile fracture, Finite deformations, Gradient plasticity, Higher order phase-field approach, Isogeometric analysis
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 342, 30.07.2018, p. 71-94.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational phase-field formulation of non-linear ductile fracture
AU - Dittmann, M.
AU - Aldakheel, F.
AU - Schulte, J.
AU - Wriggers, P.
AU - Hesch, C.
N1 - Funding information: Support for this research was provided by the Deutsche Forschungsgemeinschaft (DFG), Germany under grant HE5943/3-2 , HE5943/5-1 , HE5943/6-1 and HE5943/8-1 . This support is gratefully acknowledged. The authors M. Dittmann and C. Hesch also gratefully acknowledge support by the DFG, Germany under grant DI2306/1-1 .
PY - 2018/7/30
Y1 - 2018/7/30
N2 - Variationally consistent phase-field methods have been well established in the recent decade. A wide range of applications to brittle and ductile fracture problems could already demonstrate the ability to predict complex crack patterns in three-dimensional geometries. However, current phase-field models to ductile fracture are not formulated for both, material and geometrical non-linearities. In this contribution we present a computational framework to account for three-dimensional fracture in ductile solids undergoing large elastic and plastic deformations. The proposed model is based on a triple multiplicative decomposition of the deformation gradient and an exponential update scheme for the return map in the time discrete setting. This increases the accuracy on the entire range of the ductile material behavior encompassing elastoplasticity, hardening, necking, crack initiation and propagation. The accuracy and convergence properties are further improved by the application of a higher order phase-field regularization and a gradient enhanced plasticity model. To account for the ductile behavior at fracture, a model of the critical fracture energy density depending on the equivalent plastic strain is proposed and validated by experimental data.
AB - Variationally consistent phase-field methods have been well established in the recent decade. A wide range of applications to brittle and ductile fracture problems could already demonstrate the ability to predict complex crack patterns in three-dimensional geometries. However, current phase-field models to ductile fracture are not formulated for both, material and geometrical non-linearities. In this contribution we present a computational framework to account for three-dimensional fracture in ductile solids undergoing large elastic and plastic deformations. The proposed model is based on a triple multiplicative decomposition of the deformation gradient and an exponential update scheme for the return map in the time discrete setting. This increases the accuracy on the entire range of the ductile material behavior encompassing elastoplasticity, hardening, necking, crack initiation and propagation. The accuracy and convergence properties are further improved by the application of a higher order phase-field regularization and a gradient enhanced plasticity model. To account for the ductile behavior at fracture, a model of the critical fracture energy density depending on the equivalent plastic strain is proposed and validated by experimental data.
KW - Ductile fracture
KW - Finite deformations
KW - Gradient plasticity
KW - Higher order phase-field approach
KW - Isogeometric analysis
UR - http://www.scopus.com/inward/record.url?scp=85051407545&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2018.07.029
DO - 10.1016/j.cma.2018.07.029
M3 - Article
AN - SCOPUS:85051407545
VL - 342
SP - 71
EP - 94
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -