Results 31 to 40 of about 38,167 (219)

“Phase diagram” of a mean field game [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2016
Mean field games were introduced by J-M.Lasry and P-L. Lions in the mathematical community, and independently by M. Huang and co-workers in the engineering community, to deal with optimization problems when the number of agents becomes very large. In this article we study in detail a particular example called the 'seminar problem' introduced by O ...
Swiecicki, Igor   +2 more
openaire   +2 more sources

Phase-field approach for faceted solidification [PDF]

open access: yesPhysical Review E, 2003
We extend the phase-field approach to model the solidification of faceted materials. Our approach consists of using an approximate gamma-plot with rounded cusps that can approach arbitrarily closely the true gamma-plot with sharp cusps that correspond to faceted orientations.
Debierre, J-M   +3 more
openaire   +4 more sources

Lectures on Phase Field [PDF]

open access: yes, 2023
This open access textbook fills a gap, in that it introduces readers to the theory and applications of the Phase-Field technique. Phase Field, over the years, has emerged as a standard tool for materials research, just as the Finite-Element technique has in structure mechanics.
Steinbach, Ingo, Salama, Hesham
openaire   +2 more sources

Modeling of inter- and transgranular stress corrosion crack propagation in polycrystalline material by using phase field method

open access: yesJournal of the Mechanical Behavior of Materials, 2017
A coupled multiphysics phase field framework is proposed to model anodic dissolution induced by stress corrosion fracture growth at microstructual level.
Nguyen Thanh-Tung   +5 more
doaj   +1 more source

Study on fracture of hyperelastic Kirchhoff-Love plates and shells by phase field method

open access: yesXibei Gongye Daxue Xuebao
Thin walled structures such as plates and shells are widely used in many engineering fields. To Predict its fracture behavior is of great significance for integrity design and strength evaluation of engineering structures.
PENG Fan   +4 more
doaj   +1 more source

Effect of fluid fl ow on solidifi ed equiaxed dendrite morphology evolution based on phase fi eld - lattice Boltzmann method [PDF]

open access: yesChina Foundry, 2018
Fluid fl ow can signifi cantly change the evolution of microstructural morphology. However, relatively little is known how the fluid flow, concentration and microstructure affect each other quantitatively, which is essential to optimize processing ...
Wei-zhao Sun1, Rui Yan1, Xiong Wan1
doaj   +1 more source

Development of a Phase Field Tool Coupling With Thermodynamic Data for Microstructure Evolution Simulation of Alloys in Nuclear Reactors

open access: yesFrontiers in Materials, 2021
We have developed a new phase field tool PHAFIS to automatically incorporate the thermodynamic data for both of WBM and KKS phase field simulations, which are widely used in the simulation of microstructure evolution of nuclear materials.
Yaolin Guo   +11 more
doaj   +1 more source

Study of Spheroids Fusion via Multiphysics Simulations: Feasibility of Applying Permanent Magnetic Field Gradients

open access: yesBiology and Life Sciences Forum, 2022
Cell spheroids represent a scaffold-free route to form cell aggregates through maximizing cell-cell interactions. Spheroids have gained significant attention for the engineering of multilayer tissues as they offer a closer resemblance of physiological ...
Cristian F. Rodríguez   +6 more
doaj   +1 more source

A phase field model for liquid-vapour phase transitions

open access: yesDiscrete and Continuous Dynamical Systems - S, 2013
15 pages, 4 ...
V. Berti, M. Fabrizio, GRANDI, Diego
openaire   +3 more sources

Phase Field Modeling of Hydraulic Fracturing with Length-Scale Insensitive Degradation Functions

open access: yesEnergies
A length-scale insensitive degradation function is applied to extend the cracks during hydraulic fracturing under stress boundary conditions in this study.
Lusheng Yang   +6 more
doaj   +1 more source

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