Effect of plasticity on voltage decay studied by a stress coupled phase field reaction model

2021 ◽  
Vol 42 ◽  
pp. 101152
Author(s):  
Yuyang Lu ◽  
Lige Chang ◽  
Yicheng Song ◽  
Linghui He ◽  
Yong Ni
Keyword(s):  
Phase Field ◽  
Reaction Model ◽  
Voltage Decay ◽  
Field Reaction

scholarly journals Nonclassical Symmetry Solutions for Fourth-Order Phase Field Reaction–Diffusion

Symmetry ◽  
2018 ◽  
Vol 10 (3) ◽  
pp. 72 ◽  
Author(s):  
Philip Broadbridge ◽  
Dimetre Triadis ◽  
Dilruk Gallage ◽  
Pierluigi Cesana
Keyword(s):  
Fourth Order ◽  
Phase Field ◽  
Reaction Diffusion ◽  
Nonclassical Symmetry ◽  
Field Reaction

scholarly journals Phase-Field Reaction-Pathway Kinetics of Martensitic Transformations in a ModelFe3NiAlloy

2010 ◽  
Vol 105 (3) ◽  
Author(s):  
Christophe Denoual ◽  
Anna Maria Caucci ◽  
Laurent Soulard ◽  
Yves-Patrick Pellegrini
Keyword(s):  
Phase Field ◽  
Reaction Pathway ◽  
Martensitic Transformations ◽  
Field Reaction ◽  
Kinetics Of

scholarly journals Nonclassical Symmetry Solutions for 4th Order Phase Field Reaction-Diffusion

2018 ◽  
Author(s):  
Philip Broadbridge ◽  
Dimetre Triadis ◽  
Dilruk Gallage ◽  
Pierluigi Cesana
Keyword(s):  
Phase Field ◽  
Spherical Inclusion ◽  
Reaction Diffusion ◽  
Physical Structure ◽  
Reaction Diffusion Equations ◽  
Phase System ◽  
Two Phase ◽  
Nonclassical Symmetry ◽  
Field Reaction ◽  
Cahn Hilliard Equation

Using a nonclassical symmetry of nonlinear reaction-diffusion equations, some exact multi-dimensional time-dependent solutions are constructed for a fourth-order Allen-Cahn-Hilliard equation. This models a phase field that gives a phenomenological description of a two-phase system near the critical temperature. Solutions are given for the changing phase of a cylindrical or spherical inclusion, allowing for a 'mushy zone' with mixed state that is controlled by imposing a pure state at the boundary. The diffusion coefficients for transport of one phase through the mixture, depend on the phase field value, since the physical structure of the mixture depends on the relative proportions of the two phases. A source term promotes stability of both of the pure phases but this tendency may be controlled or even reversed through the boundary conditions.

A TEM study of the influence of microstructure on the superplastic behavior of a U-5.8 wt.% Nb alloy

1986 ◽  
Vol 44 ◽  
pp. 568-569
Author(s):  
G. Mackiewicz Ludtka
Keyword(s):  
Grain Size ◽  
Heating Rate ◽  
Phase Field ◽  
Single Phase ◽  
Superplastic Behavior ◽  
Two Phase ◽  
Single Phase Field

Historically, metals exhibit superplasticity only while forming in a two-phase field because a two-phase microstructure helps ensure a fine, stable grain size. In the U-5.8 Nb alloy, superplastici ty exists for up to 2 h in the single phase field (γ1) at 670°C. This is above the equilibrium monotectoid temperature of 647°C. Utilizing dilatometry, the superplastic (SP) U-5.8 Nb alloy requires superheating to 658°C to initiate the α+γ2 → γ1 transformation at a heating rate of 1.5°C/s. Hence, the U-5.8 Nb alloy exhibits an anomolous superplastic behavior.

Using phase field and third-order shear deformation theory to study the effect of cracks on free vibration of rectangular plates with varying thickness

2020 ◽  
Vol 71 (7) ◽  
pp. 853-867
Author(s):  
Phuc Pham Minh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Phase Field ◽  
Deformation Theory ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Rectangular Plates ◽  
Equilibrium Equations ◽  
Third Order ◽  
Free Vibration Frequency

The paper researches the free vibration of a rectangular plate with one or more cracks. The plate thickness varies along the x-axis with linear rules. Using Shi's third-order shear deformation theory and phase field theory to set up the equilibrium equations, which are solved by finite element methods. The frequency of free vibration plates is calculated and compared with the published articles, the agreement between the results is good. Then, the paper will examine the free vibration frequency of plate depending on the change of the plate thickness ratio, the length of cracks, the number of cracks, the location of cracks and different boundary conditions

Sign in / Sign up

Export Citation Format

Share Document