Phase-field crystal study of segregation induced grain-boundary premelting in binary alloys

2014 ◽  
Vol 451 ◽  
pp. 128-133 ◽  
Author(s):  
Yan-Li Lu ◽  
Ting-Ting Hu ◽  
Guang-Ming Lu ◽  
Zheng Chen
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Binary Alloys ◽  
Phase Field Crystal

Fractional phase-field crystal modelling: analysis, approximation and pattern formation

2020 ◽  
Vol 85 (2) ◽  
pp. 231-262
Author(s):  
Mark Ainsworth ◽  
Zhiping Mao
Keyword(s):  
Pattern Formation ◽  
Grain Boundary ◽  
Fractional Order ◽  
Phase Field ◽  
Boundary Energy ◽  
Classical Case ◽  
Experimental Measurements ◽  
Grain Boundary Energy ◽  
Material Interface ◽  
Phase Field Crystal

Abstract We consider a fractional phase-field crystal (FPFC) model in which the classical Swift–Hohenberg equation (SHE) is replaced by a fractional order Swift–Hohenberg equation (FSHE) that reduces to the classical case when the fractional order $\beta =1$. It is found that choosing the value of $\beta $ appropriately leads to FSHE giving a markedly superior fit to experimental measurements of the structure factor than obtained using the SHE ($\beta =1$) for a number of crystalline materials. The improved fit to the data provided by the fractional partial differential equation prompts our investigation of a FPFC model based on the fractional free energy functional. It is shown that the FSHE is well-posed and exhibits the same type of pattern formation behaviour as the SHE, which is crucial for the success of the PFC model, independently of the fractional exponent $\beta $. This means that the FPFC model inherits the early successes of the FPC model such as physically realistic predictions of the phase diagram etc. and, therefore, provides a viable alternative to the classical PFC model. While the salient features of PFC and FPFC are identical, we expect more subtle features to differ. The prediction of grain boundary energy arising from a mismatch in orientation across a material interface is another notable success of the PFC model. The grain boundary energy can be evaluated numerically from the PFC model and compared with experimental measurements. The grain boundary energy is a derived quantity and is more sensitive to the nuances of the model. We compare the predictions obtained using the PFC and FPFC models with experimental observations of the grain boundary energy for several materials. It is observed that the FPFC model gives superior agreement with the experimental observation than those obtained using the classical PFC model, especially when the mismatch in orientation becomes larger.

Phase field crystal study of grain boundary structure and annihilation mechanism in low-angle grain boundary

2019 ◽  
Vol 129 ◽  
pp. 163-175 ◽  
Author(s):  
Huijun Guo ◽  
Yuhong Zhao ◽  
Yuanyang Sun ◽  
Jinzhong Tian ◽  
Hua Hou ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Phase Field ◽  
Boundary Structure ◽  
Grain Boundary Structure ◽  
Phase Field Crystal

scholarly journals Phase field crystal simulation of grain boundary annihilation under strain strain at high temperature

2015 ◽  
Vol 64 (10) ◽  
pp. 106105
Author(s):  
Gao Ying-Jun ◽  
Qin He-Lin ◽  
Zhou Wen-Quan ◽  
Deng Qian-Qian ◽  
Luo Zhi-Rong ◽  
...  
Keyword(s):  
High Temperature ◽  
Grain Boundary ◽  
Phase Field ◽  
Phase Field Crystal

Effect of Grain Boundary on Spinodal Decomposition Using the Phase Field Crystal Method

2012 ◽  
Vol 29 (7) ◽  
pp. 078103 ◽  
Author(s):  
Tao Yang ◽  
Zheng Chen ◽  
Jing Zhang ◽  
Wei-Ping Dong ◽  
Lin Wu
Keyword(s):  
Grain Boundary ◽  
Spinodal Decomposition ◽  
Phase Field ◽  
Phase Field Crystal
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