Crack phase-field model equipped with plastic driving force and degrading fracture toughness for ductile fracture simulation

Author(s):  
Jike Han ◽  
Seishiro Matsubara ◽  
Shuji Moriguchi ◽  
Michael Kaliske ◽  
Kenjiro Terada
Materials ◽  
2021 ◽  
Vol 14 (19) ◽  
pp. 5842
Author(s):  
Aris Tsakmakis ◽  
Michael Vormwald

The fundamental idea in phase field theories is to assume the presence of an additional state variable, the so-called phase field, and its gradient in the general functional used for the description of the behaviour of materials. In linear elastic fracture mechanics the phase field is employed to capture the surface energy of the crack, while in damage mechanics it represents the variable of isotropic damage. The present paper is concerned, in the context of plasticity and ductile fracture, with a commonly used phase field model in fracture mechanics. On the one hand, an appropriate framework for thermodynamical consistency is outlined. On the other hand, an analysis of the model responses for cyclic loading conditions and pure kinematic or pure isotropic hardening are shown.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
P. G. Kubendran Amos ◽  
Britta Nestler

AbstractExisting grand-potential based multicomponent phase-field model is extended to handle systems with interstitial sublattice. This is achieved by treating the concentration of alloying elements in site-fraction. Correspondingly, the chemical species are distinguished based on their lattice positions, and their mode of diffusion, interstitial or substitutional, is appropriately realised. An approach to incorporate quantitative driving-force, through parabolic approximation of CALPHAD data, is introduced. By modelling austenite decomposition in ternary Fe–C–Mn, albeit in a representative microstructure, the ability of the current formalism to handle phases with interstitial components, and to distinguish interstitial diffusion from substitutional in grand-potential framework is elucidated. Furthermore, phase transformation under paraequilibrium is modelled to demonstrate the limitation of adopting mole-fraction based formulation to treat multicomponent systems.


2021 ◽  
Vol 387 ◽  
pp. 114171
Author(s):  
Hazem Eldahshan ◽  
José Alves ◽  
Pierre-Olivier Bouchard ◽  
Etienne Perchat ◽  
Daniel Pino Munoz

PAMM ◽  
2017 ◽  
Vol 17 (1) ◽  
pp. 75-78 ◽  
Author(s):  
Timo Noll ◽  
Charlotte Kuhn ◽  
Ralf Müller

PAMM ◽  
2014 ◽  
Vol 14 (1) ◽  
pp. 441-442 ◽  
Author(s):  
Carlos Alberto Hernandez Padilla ◽  
Bernd Markert

Author(s):  
Hongjun Yu ◽  
Liulei Hao ◽  
Rilin Shen ◽  
Licheng Guo ◽  
Zhen Shen ◽  
...  

Metals ◽  
2017 ◽  
Vol 7 (5) ◽  
pp. 180 ◽  
Author(s):  
Hojjat Badnava ◽  
Elahe Etemadi ◽  
Mohammed Msekh

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