Results 241 to 250 of about 1,312,607 (291)

Phase-Field Simulation of Solidification

Annual Review of Materials Research, 2002
▪ Abstract  An overview of the phase-field method for modeling solidification is presented, together with several example results. Using a phase-field variable and a corresponding governing equation to describe the state (solid or liquid) in a material as a function of position and time, the diffusion equations for heat and solute can be solved ...
W. J. Boettinger, J. A. Warren, C. Beckermann, A. Karma   +3 more
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Phase Field Simulation of Ferroelectrics with Cracks

Key Engineering Materials, 2011
By employing a dipole defect model, two-dimensional phase field simulations of domain switching in the crack tip vicinity of a crack embedded in a relaxor ferroelectric single crystal, which was subjected to mechanical loading and electric field, have been carried out.
Soh, AK, Zhao, XF
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Phase-field simulations for drops and bubbles

Physical Review E, 2007
Recently we proposed a phase field model to describe Marangoni convection in a compressible fluid of van der Waals type far from criticality [Eur. Phys. J. B 44, 101 (2005)]. The model previously developed for a two-layer geometry is now extended to drops and bubbles.
Rodica, Borcia, Michael, Bestehorn
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Phase-field simulation of fracture in Polymethyl Methacrylate

Mechanics of Advanced Materials and Structures, 2023
Significant interest and developments have emerged in phase-field fracture modeling. The method approximates fracture continuously by introducing a length-scale parameter, accurately simulating fracture initiation and crack propagation in brittle materials like polymethyl methacrylate (PMMA) with nonlinear elasticity.
Mohsen Agha Mohammad Pour, Peyman Esmaeilzadeh, Reza Abdi Behnagh, Akram Ghaffarigharehbagh, Roberto Brighenti   +4 more
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Antiferroelectric Phase Diagram Enhancing Energy-Storage Performance by Phase-Field Simulations

ACS Applied Materials & Interfaces, 2022
Antiferroelectric materials have shown potential applications in energy storage. However, controlling and improving the energy-storage performance in antiferroelectric remain challenging. Here, a domain structure and energy-storage performance diagram for Pb(Zr1-xTix)O3 (x ≤ 0.1) single crystal are investigated via phase-field simulations.
Ke Xu, Xiaoming Shi, Shouzhe Dong, Jing Wang, Houbing Huang   +4 more
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Semisharp Phase Field Method for Quantitative Phase Change Simulations

Physical Review Letters, 2003
The standard phase field model for simulation of phase change requires an asymptotic analysis in a vanishing interface width, in order to connect the model parameters to the sharp interface parameters, which has hampered the quantitative usefulness of the method. In this Letter the method is simplified to the point that the relevant reduced problem can
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Phase-Field Simulations of Crystal Growth

AIP Conference Proceedings, 2010
This course gives an elementary introduction to the phase‐field method and to its applications for the modeling of crystal growth. Two different interpretations of the phase‐field variable are given and discussed. It can be seen as a physical order parameter that characterizes a phase transition, or as a smoothed indicator function that tracks domain ...
Mathis Plapp, W. Wang, Katsuo Tsukamoto, Di Wu   +3 more
openaire   +1 more source