Combining phase field approach and homogenization methods for modelling phase transformation in elastoplastic media

2009 ◽  
Vol 18 (5-6) ◽  
pp. 485-523 ◽  
Author(s):  
Kais Ammar ◽  
Benoît Appolaire ◽  
Georges Cailletaud ◽  
Samuel Forest
Author(s):  
Kais Ammar ◽  
Benoît Appolaire ◽  
Georges Cailletaud ◽  
Samuel Forest

A general constitutive framework is proposed to incorporate linear and nonlinear mechanical behaviour laws into a standard phase field model. In the diffuse interface region where both phases coexist, two mixture rules for strain and stress are introduced, which are based on the Voigt/Taylor and Reuss/Sachs well-known homogenization schemes and compared to the commonly used mixture rules in phase field models. Finite element calculations have been performed considering an elastoplastic precipitate growing in an elastic matrix in order to investigate the plastic accommodation processes.


2013 ◽  
Vol 102 (25) ◽  
pp. 251904 ◽  
Author(s):  
Valery I. Levitas ◽  
Mahdi Javanbakht

Nanoscale ◽  
2019 ◽  
Vol 11 (46) ◽  
pp. 22243-22247 ◽  
Author(s):  
Hossein Jafarzadeh ◽  
Valery I. Levitas ◽  
Gholam Hossein Farrahi ◽  
Mahdi Javanbakht

The phase field approach for the interaction of fracture and phase transformation is developed including scale effects and change in surface energy.


2010 ◽  
Vol 2010.23 (0) ◽  
pp. 94-95
Author(s):  
Kazunori Takayama ◽  
Noriyuki Miyazaki ◽  
Ryosuke Matsumoto ◽  
Shinya Taketomi

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