Diffusion-induced stresses in a hollow cylinder:

Lee, Sanboh; Wang, W.L.; Chen, J.R.

doi:10.1016/s0254-0584(99)00255-2

Cited by 41 publications

(8 citation statements)

References 14 publications

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“…Extending the 1D relation between the strain and the concentration of solute atoms given by Prussin [1] to the 3D case, one can express the constitutive relations as [5] …”

Section: Governing Equation Of Mechanical Equilibriummentioning

confidence: 99%

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Interaction between diffusion and chemical stresses

Yang

2005

Materials Science and Engineering: A

222

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“…Extending the 1D relation between the strain and the concentration of solute atoms given by Prussin [1] to the 3D case, one can express the constitutive relations as [5] …”

Section: Governing Equation Of Mechanical Equilibriummentioning

confidence: 99%

“…Li [2] studied the diffusion-induced stresses in elastic media of simple geometries. Lee and co-workers [5,6] analyzed the effect in E-mail address: fyang0@engr.uky.edu. composite materials.…”

Section: Introductionmentioning

confidence: 99%

Interaction between diffusion and chemical stresses

Yang

2005

Materials Science and Engineering: A

222

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“…21 Li 18 studied the diffusion-induced stress in elastic materials of simple geometries. Lee and co-workers 22,23 analyzed the effect of diffusion on the stress evolution in composite materials. Yang and Li 20 considered the effect of chemical stress on the bending of beam/plate structure.…”

Section: Physical Modelmentioning

confidence: 99%

Insertion-induced breakage of materials

Yang

2010

Journal of Applied Physics

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Extensive experiments have shown the breakage of active materials, such as Sn and Si, after several charging and discharging in the development of rechargeable Li-ion batteries. To understand the breakage behavior due to the insertion and deinsertion of lithium into the active materials, the effect of surface mechanics and the insertion-induced deformation is examined within the theory of linear elasticity. An approach is presented whereby the average size of the fragment pieces due to the insertion of lithium into a spherical particle is governed by the equilibrium of the system energies before and after the breakage, in which the contribution of the insertion-induced deformation to both the total stored strain energy and the total surface energy is included in the calculation of free energy. The ratio of the average size of the fragment pieces to the radius of the spherical particle is relatively independent of the particle size in the range of millimeter to micrometer, and the ratio is a function of material properties and the volume expansion due to the lithium-insertion.

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“…Larche and Cahn [3,4] investigated the stress dependence of the local diffusion flux in a solid where the stresses developed from composition inhomogeneities. Lee et al [5,6] made a series of studies of chemical stresses 1 Author to whom any correspondence should be addressed. in specimens of different geometries such as thin plates, solid cylinders, hollow cylinders and solid spheres.…”

Section: Introductionmentioning

confidence: 99%

Coupling effects of chemical stresses and external mechanical stresses on diffusion

Xuan¹,

Shao²,

Wang³

et al. 2008

J. Phys. D: Appl. Phys.

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Interaction between diffusion and stress fields has been investigated extensively in the past. However, most of the previous investigations were focused on the effect of chemical stress on diffusion due to the unbalanced mass transport. In this work, the coupling effects of external mechanical stress and chemical stress on diffusion are studied. A self-consistent diffusion equation including the chemical stress and external mechanical stress gradient is developed under the framework of the thermodynamic theory and Fick's law. For a thin plate subjected to unidirectional tensile stress fields, the external stress coupled diffusion equation is solved numerically with the help of the finite difference method for one-side and both-side charging processes. Results show that, for such two types of charging processes, the external stress gradient will accelerate the diffusion process and thus increase the value of concentration while reducing the magnitude of chemical stress when the direction of diffusion is identical to that of the stress gradient . In contrast, when the direction of diffusion is opposite to that of the stress gradient , the external stress gradient will obstruct the process of solute penetration by decreasing the value of concentration and increasing the magnitude of chemical stress. For both-side charging process, compared with that without the coupling effect of external stress, an asymmetric distribution of concentration is produced due to the asymmetric mechanical stress field feedback to diffusion.

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Diffusion-induced stresses in a hollow cylinder:

Cited by 41 publications

References 14 publications

Interaction between diffusion and chemical stresses

Interaction between diffusion and chemical stresses

Insertion-induced breakage of materials

Coupling effects of chemical stresses and external mechanical stresses on diffusion

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