Interaction between diffusion and chemical stresses

Yang, Fuqian

doi:10.1016/j.msea.2005.05.117

Cited by 223 publications

(91 citation statements)

References 18 publications

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“…The transport of Lithium ions in active particles is described by the modified Fick's law [15,20], which includes the effect of stresses on diffusion:…”

Section: Model Descriptionmentioning

confidence: 99%

Three-dimensional finite element study on stress generation in synchrotron X-ray tomography reconstructed nickel-manganese-cobalt based half cell

Wu¹,

Xiao²,

Wen³

et al. 2016

Journal of Power Sources

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In this study, the stress generation caused by phase transitions and lithium intercalation of nickel-manganese-cobalt (NMC) based half cell with realistic 3D microstructures has been studied using finite element method. The electrochemical properties and discharged curves under various C rates are studied. The potential drops significantly with the increase of C rates. During the discharge process, for particles isolated from the conductive channels, several particles with no lithium ion intercalation are observed. For particles in the electrochemical network, the lithium ion Moreover, stresses inside the particles increase dramatically when considering phase transitions.The phase transitions introduce an abrupt volume change and generate the strain mismatch, causing the stresses increase.

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“…The transport of Lithium ions in active particles is described by the modified Fick's law [15,20], which includes the effect of stresses on diffusion:…”

Section: Model Descriptionmentioning

confidence: 99%

Three-dimensional finite element study on stress generation in synchrotron X-ray tomography reconstructed nickel-manganese-cobalt based half cell

Wu¹,

Xiao²,

Wen³

et al. 2016

Journal of Power Sources

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“…The intercalation-induced stress can be expressed in analogy with thermal stress, and the modified Hooke's law [22] is expressed as:…”

Section: Intercalation-induced Stress In Polycrystalline Licoo2mentioning

confidence: 99%

Three-dimensional phase field based finite element study on Li intercalation-induced stress in polycrystalline LiCoO2

Zhang

Jung

et al. 2015

Journal of Power Sources

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In this study, the stress generation of LiCoO2 with realistic 3D microstructures has been studied systematically. Phase field method was employed to generate the 3D microstructures with different grain sizes. The effects of grain size, grain crystallographic orientation, and grain boundary diffusivity on chemical diffusion coefficient and stress generation were studied using finite element method. The calculated chemical diffusion coefficient is about in the range of 8.5×10 -10 cm 2 /s to 3.6×10 -9 cm 2 /s. Stresses increase with the increase of grain size, due to more accumulation of Li ion near the grain boundary regions in larger grain size systems, which causes a larger concentration gradient. Failure is more likely to occur in large grain systems. The chemical diffusion coefficients increase with increasing grain orientation angle irrespective of grain boundary diffusivity, due to alignment of global Li ion diffusion path with high grain orientations. Grain boundary diffusivity has opposite effect on the hydrostatic stress. As small grain boundary diffusivity, the stress increases with increasing grain orientation angle, due to

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“…In contrast, boundary value problems involving coupled diffusion-stress phenomena have been solved analytically using Cosserat spectrum theory in [15]. In [24] and [25], finite element solutions involving stress-induced diffusion in a plate subject to different types of boundary conditions were reported. In [22], the authors relied on Lambert functions to derive an analytical solution of the chemical concentration in a loaded rod, and compared it to a coupled finite element formulation.…”

mentioning

confidence: 99%

A fully coupled diffusional-mechanical formulation: numerical implementation, analytical validation, and effects of plasticity on equilibrium

et al. 2014

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A macroscopic coupled stress-diffusion theory which accounts for the effects of nonlinear material behaviour, based on the framework proposed by Cahn and Larché, is presented and implemented numerically into the finite element method. The numerical implementation is validated against analytical solutions for different boundary valued problems. Particular attention is payed to the open system elastic constants, i.e. those derived at constant diffusion potential, since they enable, under circumstances, the equilibrium composition field for any generic chemical-mechanical coupled problem to be obtained through the solution of an equivalent elastic problem. Finally, the effects of plasticity on the overall equilibrium state of the coupled problem solution are discussed.

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Interaction between diffusion and chemical stresses

Cited by 223 publications

References 18 publications

Three-dimensional finite element study on stress generation in synchrotron X-ray tomography reconstructed nickel-manganese-cobalt based half cell

Three-dimensional finite element study on stress generation in synchrotron X-ray tomography reconstructed nickel-manganese-cobalt based half cell

Three-dimensional phase field based finite element study on Li intercalation-induced stress in polycrystalline LiCoO2

A fully coupled diffusional-mechanical formulation: numerical implementation, analytical validation, and effects of plasticity on equilibrium

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