Time-scale investigation with the modified phase field crystal method

D Burns, N Provatas, M Grant - Modelling and Simulation in …, 2022 - iopscience.iop.org
This paper extends the two time-scale modified phase-field crystal model to examine crystal
plasticity. Two non-linear density dependent functions are constructed to effectively …

Elastic interactions in phase-field crystal models: Numerics and postprocessing

F Bernal, R Backofen, A Voigt - International journal of materials …, 2010 - degruyter.com
In this paper, numerical and implementation aspects of the phase-field crystal model with
elastic interactions are addressed. This model leads to a time-dependent, sixth-order system …

Elasticity versus phase field driven motion in the phase field crystal model

A Acharya, L Angheluta, J Vinals - Modelling and Simulation in …, 2022 - iopscience.iop.org
The inherent inconsistency in identifying the phase field in the phase field crystal theory with
the material mass and, simultaneously, with material distortion is discussed. In its current …

Development of numerical scheme for phase field crystal deformation simulation

T Hirouchi, T Takaki, Y Tomita - Computational Materials Science, 2009 - Elsevier
The phase field crystal (PFC) method is anticipated as a new multiscale method, because
this method can reproduce physical phenomena depending on atomic structures in metallic …

Evaluation of the elastic field in phase‐field crystal simulations

M Punke, V Skogvoll, M Salvalaglio - PAMM, 2023 - Wiley Online Library
The phase‐field crystal model (PFC) describes crystal structures at diffusive timescales
through a periodic order parameter representing the atomic density. One of its main features …

Plasticity and phase transition of crystals under continuous deformations by phase field crystal approach

K Wang, F Zhang, A He, P Wang - International Journal of Plasticity, 2019 - Elsevier
Despites of some efforts in deformation simulations by the Phase field crystal (PFC) method,
simulations of phase transitions and plasticity of crystals under continuous deformations are …

Separation of elastic and plastic timescales in a phase field crystal model

A Skaugen, L Angheluta, J Viñals - Physical review letters, 2018 - APS
A consistent small-scale description of plasticity and dislocation motion in a crystalline solid
is presented based on the phase field crystal description. By allowing for independent mass …

Phase-field crystals with elastic interactions

P Stefanovic, M Haataja, N Provatas - Physical review letters, 2006 - APS
We report on a novel extension of the recently introduced phase-field crystal (PFC) method
[Elder, Phys. Rev. Lett. 88, 245701 (2002) PRLTAO 0031-9007 10.1103/PhysRevLett …

Phase field crystal study of deformation and plasticity in nanocrystalline materials

P Stefanovic, M Haataja, N Provatas - … E—Statistical, Nonlinear, and Soft Matter …, 2009 - APS
We introduce a modified phase field crystal (MPFC) technique that self-consistently
incorporates rapid strain relaxation alongside the usual plastic deformation and multiple …

Effects of temperature and grain size on phase-field-crystal deformation simulation

T Hirouchi, T Takaki, Y Tomita - International journal of mechanical …, 2010 - Elsevier
We performed deformation simulations of nanocrystalline structures under different
temperature and grain-size conditions using the phase-field-crystal (PFC) method with an …