A PHASE INTERFACE DYNAMIC MODEL OF INTERNAL FRICTION IN THE PROCESS OF PHASE TRANSFORMATION

A model of gas diffusion in a metal plate has been proposed, in which a phase transformation “metal–gassed metal” takes place, when the gas concentration exceeds a certain critical value, and the properties of the system change qualitatively. The phase transformation is modeled by changing the coefficient of gas diffusion. In particular, a system of two phases with different diffusion coefficients and a moving interface between them is considered. The gas concentrations in both phases at the interface are assumed to be the known constants. An analytical solution is obtained in the approximation that the diffusion in the metal phase (the initial state of a metal layer) is much quicker than that in the gassed-metal one, with the both being much quicker than the motion of the phase interface. In the framework of this model, the spatial distribution of the gas concentration in the gassed-metal phase is calculated, and the analytic formula describing the motion of a phase interface is derived.

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Phase transformation in BST ceramics investigated by internal friction measurements

Journal of the European Ceramic Society ◽

10.1016/j.jeurceramsoc.2004.07.030 ◽

2005 ◽

Vol 25 (13) ◽

pp. 3203-3206 ◽

Cited By ~ 19

Author(s):

H. Frayssignes ◽

B.L. Cheng ◽

G. Fantozzi ◽

T.W. Button

Keyword(s):

Phase Transformation ◽

Internal Friction ◽

Bst Ceramics ◽

Friction Measurements

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A new gear mesh interface dynamic model to predict multi-dimensional force coupling and excitation

Mechanism and Machine Theory ◽

10.1016/0094-114x(94)00018-g ◽

1995 ◽

Vol 30 (1) ◽

pp. 43-57 ◽

Cited By ~ 51

Author(s):

G. Wesley Blankenship ◽

Rajendra Singh

Keyword(s):

Dynamic Model ◽

Gear Mesh ◽

Force Coupling ◽

Interface Dynamic

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Stress fields in hollow core–shell spherical electrodes of lithium ion batteries

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2014.0299 ◽

2014 ◽

Vol 470 (2172) ◽

pp. 20140299 ◽

Cited By ~ 17

Author(s):

Yingjie Liu ◽

Pengyu Lv ◽

Jun Ma ◽

Ruobing Bai ◽

Hui Ling Duan

Keyword(s):

Phase Transformation ◽

Lithium Ion Batteries ◽

Hydrostatic Stress ◽

Phase Interface ◽

Hollow Structure ◽

Lithium Ion ◽

Structure Design ◽

Interface Stress ◽

Effective Capacity ◽

Stress Surface

This paper presents a comprehensive model coupling the effects of hydrostatic stress, surface/interface stress, phase transformation and the structure of electrodes. First, the governing equation of moving phase interface with hydrostatic stress is established. Under the effect of hydrostatic stress, phase transformation process is much faster, which means phase transformation time is overestimated in previous publications. Then, a cross-scale analysis is presented to investigate the size effect owing to hydrostatic stress, surface stress and interface stress separately, which concludes that the effect of hydrostatic stress is significant for the stress field in microelectrode particles, whereas that of surface/interface stress is highlighted in nano-ones. Finally, an electrochemical variable ‘efficiency’ (ratio of effective capacity over total capacity) is defined. The advantages of hollow structure electrodes on stress and efficiency are analysed. The present model is helpful for the material and structure design of electrodes of lithium ion batteries.

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