1107 Three-dimensional Simulation of Martensitic Transformation by Phase-Field Method

2009 ◽  
Vol 2009.22 (0) ◽  
pp. 51-52
Author(s):  
Akinori YAMANAKA ◽  
Tomohiro TAKAKI ◽  
Yoshihiro TOMITA
Keyword(s):  
Martensitic Transformation ◽  
Phase Field ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method ◽  
Dimensional Simulation

MPF-FDTD Simulations of Fabrication and Optical Analysis of Ordered Gold Nano-Dots Array

2012 ◽  
Vol 523-524 ◽  
pp. 621-626
Author(s):  
Akinori Yamanaka ◽  
Zhen Xing Li ◽  
Masahiko Yoshino
Keyword(s):  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method ◽  
Localized Surface Plasmon ◽  
Optical Analysis ◽  
Optical Responses ◽  
Plastic Forming ◽  
Dimensional Simulation ◽  
Multi Phase ◽  
Difference Time

Recently, the authors have proposed a hybrid fabrication method of an ordered gold nano-dots array using a combination of the nano plastic forming and thermal annealing. In this study, in order to investigate morphology and optical properties of the gold nano-dots array fabricated by the proposed method, we develop a coupled three-dimensional simulation model by using the multi-phase-field method and the finite-difference-time-domain method. The simulation results demonstrate that the ordered gold nano-dots array which can be obtained by the proposed method exhibits quite characteristic optical responses due to the localized surface plasmon resonance.

Effects of External Stresses on the Martensitic Transformation in a 3D Polycrystalline Material Using the Phase Field Method

2013 ◽  
Vol 1535 ◽  
Author(s):  
Amer Malik ◽  
Gustav Amberg ◽  
John Ågren
Keyword(s):  
Martensitic Transformation ◽  
Phase Field ◽  
Volume Fraction ◽  
Polycrystalline Material ◽  
Landau Equation ◽  
Current Model ◽  
Field Method ◽  
Phase Field Method ◽  
Martensitic Microstructure ◽  
External Stresses

ABSTRACTIn the current study an elasto-plastic phase field (PF) model, based on the PF microelasticity theory proposed by A.G. Khachaturyan, is used to investigate the effects of external stresses on the evolution of martensitic microstructure in a Fe-0.3%C polycrystalline alloy. The current model is improved to include the effects of grain boundaries in a polycrystalline material. The evolution of plastic deformation is governed by using a time dependent Ginzburg-Landau equation, solving for the minimization of the shear strain energy. PF simulations are performed in 2D and 3D to study the effects of tension, compression and shear on the martensitic transformation. It has been found that external stresses cause an increase in the volume fraction of the martensitic phase if they add to the net effect of the transformation strains, and cause a decrease otherwise. It has been concluded that the stress distribution and the evolution of martensitic microstructure can be predicted with the current model in a polycrystalline material under applied stresses.

Crack kinking and tunneling simulation for the single-fiber composite under transverse tension based on phase-field method

2020 ◽  
Vol 55 (5-6) ◽  
pp. 145-158
Author(s):  
Leying Song ◽  
Songhe Meng ◽  
Chenghai Xu ◽  
Guodong Fang ◽  
Qiang Yang ◽  
...  
Keyword(s):  
Numerical Model ◽  
Crack Initiation ◽  
Phase Field ◽  
Three Dimensional ◽  
Field Method ◽  
Fiber Reinforced Composites ◽  
Phase Field Method ◽  
Reinforced Composites ◽  
Fiber Reinforced ◽  
Transverse Tension

Virtual tests for a single-fiber–reinforced composite model subjecting to transverse tension are carried out based on a phase-field method considering a varying interface toughness parameter. Without pre-treating the crack initiation location and propagation path, the complete fracture process is realized for the first time in a three-dimensional numerical model, including nucleation cracks on the fiber/matrix interface at the free end, tunneling cracks along the fiber axis, and kinked interface cracks deviating from the interface and penetrating into the matrix. The numerically calculated crack propagation process is in good agreement with the in situ observations in the literature, indicating that the present model provides a good real-time quantitative numerical method for three-dimensional fracture analysis of fiber-reinforced composites. Tunneling cracks tend to cause macroscopic interface debonding and fiber pull-out. The interface tunneling crack initiation and the transition to the steady state inside the model are captured and analyzed in the numerical model. Kinked interface cracks can merge with other matrix cracks, forming a macroscopic transverse crack fracture mode. The kinking behaviors affected by the initial crack size and the interface properties are investigated. This study for the detailed crack propagation is helpful in understanding the toughening mechanism of fiber-reinforced composites under transverse tension.

Research of three-dimensional dendritic growth using phase-field method based on GPU

2014 ◽  
Vol 91 ◽  
pp. 146-152 ◽  
Author(s):  
Changsheng Zhu ◽  
Jinfang Jia ◽  
Li Feng ◽  
Rongzhen Xiao ◽  
Ruihong Dong
Keyword(s):  
Phase Field ◽  
Dendritic Growth ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method

scholarly journals Efficient 3D Volume Reconstruction from a Point Cloud Using a Phase-Field Method

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Darae Jeong ◽  
Yibao Li ◽  
Heon Ju Lee ◽  
Sang Min Lee ◽  
Junxiang Yang ◽  
...  
Keyword(s):  
Image Segmentation ◽  
Numerical Method ◽  
Phase Field ◽  
Point Cloud ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Field Method ◽  
Volume Reconstruction ◽  
Hybrid Numerical Method ◽  
3D Volume

We propose an explicit hybrid numerical method for the efficient 3D volume reconstruction from unorganized point clouds using a phase-field method. The proposed three-dimensional volume reconstruction algorithm is based on the 3D binary image segmentation method. First, we define a narrow band domain embedding the unorganized point cloud and an edge indicating function. Second, we define a good initial phase-field function which speeds up the computation significantly. Third, we use a recently developed explicit hybrid numerical method for solving the three-dimensional image segmentation model to obtain efficient volume reconstruction from point cloud data. In order to demonstrate the practical applicability of the proposed method, we perform various numerical experiments.

scholarly journals Three Dimensional CS-FEM Phase-Field Modeling Technique for Brittle Fracture in Elastic Solids

2018 ◽  
Vol 8 (12) ◽  
pp. 2488 ◽  
Author(s):  
Sauradeep Bhowmick ◽  
Gui-Rong Liu
Keyword(s):  
Brittle Fracture ◽  
Phase Field ◽  
Three Dimensional ◽  
Coupled System ◽  
Field Method ◽  
Three Dimensions ◽  
Modeling Technique ◽  
Phase Field Method ◽  
Elastic Solids ◽  
Model Complex

The cell based smoothed finite element method (CS-FEM) was integrated with the phase-field technique to model brittle fracture in 3D elastic solids. The CS-FEM was used to model the mechanics behavior and the phase-field method was used for diffuse fracture modeling technique where the damage in a system was quantified by a scalar variable. The integrated CS-FEM phase-field approach provides an efficient technique to model complex crack topologies in three dimensions. The detailed formulation of our combined method is provided. It was implemented in the commercial software ABAQUS using its user-element (UEL) and user-material (UMAT) subroutines. The coupled system of equations were solved in a staggered fashion using the in-built non-linear Newton–Raphson solver in ABAQUS. Eight node hexahedral (H8) elements with eight smoothing domains were coded in CS-FEM. Several representative numerical examples are presented to demonstrate the capability of the method. We also discuss some of its limitations.

scholarly journals Effect of Al Concentration on the Microstructural Evolution of Fe-Cr-Al Systems: A Phase-Field Approach

Metals ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 4
Author(s):  
Jeonghwan Lee ◽  
Kwangheon Park ◽  
Kunok Chang
Keyword(s):  
Microstructural Evolution ◽  
Phase Field ◽  
Three Dimensional ◽  
Field Method ◽  
Phase Fraction ◽  
Phase Field Method ◽  
Processing Unit ◽  
Computing Technique ◽  
Α Phase ◽  
2D And 3D

In this study, the microstructural evolution of an Fe-Cr-Al system was simulated in two-dimensional (2D) and three-dimensional (3D) systems using the phase-field method. We investigated the effect of Al concentration on the microstructural evolution of the systems, with a focus on the nucleation and growth of the Cr-rich α′ phase. In addition, we quantitatively analyzed the mechanism of the effect of Al concentration on the microstructural characteristics of the 2D and 3D systems, such as the number of precipitates, average precipitate area (volume), and α′ phase fraction. In particular, we analyzed the effect of Al concentration and the dimensions of the system cell on the formation of the interconnected structure at high Cr concentrations, such as 35 Crat% and 40 Crat%. To enhance the performance of the simulations, we applied a semi-implicit Fourier spectral method for the ternary system and a parallel graphics processing unit computing technique. The results revealed that the initiation of phase separation in the 2D and 3D simulations was enhanced with an increase in the average Al concentration in the system. In addition, with an increase in the average Al concentration in both systems, the α′ phase fraction increased, while the change in the phase fraction decreased.

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