scholarly journals Parallel Implementation of an Adaptive, Multigrid Solver for the Implicit Solution of Nonlinear Parabolic Systems, with Application to a Multi-Phase-Field Model for Tumour Growth

Author(s):  
F.W. Yang ◽  
C.E. Goodyer ◽  
M.E. Hubbard ◽  
P.K. Jimack
2009 ◽  
Vol 58 (1) ◽  
pp. 650
Author(s):  
Yang Yu-Juan ◽  
Wang Jin-Cheng ◽  
Zhang Yu-Xiang ◽  
Zhu Yao-Chan ◽  
Yang Gen-Cang

2016 ◽  
Vol 704 ◽  
pp. 241-250 ◽  
Author(s):  
Peter Holfelder ◽  
Jin Ming Lu ◽  
Christian Krempaszky ◽  
Ewald A. Werner

A Multi Phase Field model is proposed to describe the microstructure evolution induced by laser-material interaction in Selective Laser Melting (SLM). On the basis of the free enthalpy, the nucleation and growth processes occurring during the relevant phase transformations are explicitly taken into account. Within this contribution, the focus is laid on the SLM processing of the titanium alloy Ti-6Al-4V with special emphasis on the transition between β-titanium and melt. The results are discussed and compared to those of more conventional modelling approaches.


2012 ◽  
Vol 715-716 ◽  
pp. 635-642 ◽  
Author(s):  
S.O. Poulsen ◽  
Peter W. Voorhees ◽  
Erik M. Lauridsen

A phase field model to study the microstructural evolution of a polycrystalline dual-phase material with conserved phase fraction has been implemented, and 2D simulations have been performed. For 2D simulations, the model predicts the cubic growth well-known for diffusion-controlled systems. Some interphase boundaries are found to show a persistent non-constant curvature, which seems to be a feature of multi-phase materials. Finally, it is briefly outlined how this model is to be applied to investigate microstructural evolution in duplex steel.


2005 ◽  
Vol 45 (1) ◽  
pp. 147-149 ◽  
Author(s):  
Machiko ODE ◽  
Seong Gyoon KIM ◽  
Won Tae KIM ◽  
Toshio SUZUKI

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