2014
DOI: 10.1016/j.jmps.2014.06.004
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A chemo-mechanical model of lithiation in silicon

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Cited by 196 publications
(182 citation statements)
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“…An alternative approach is to still adopt the classical Fick's first law, j = −D∇c, but embedding the stress effect by empirically assuming Li diffusivity as a function of both Li concentration and the stress state, 12,66,67 i.e., D = D(c; σ). The effective diffusivity can be expressed by D ¼ D 0 expðÀpΩ=k B TÞ, where D 0 is the diffusivity at the stress-free condition, p is the hydrostatic pressure, Ω is the activation volume and k B T is the thermal energy.…”
Section: Governing Equationsmentioning
confidence: 99%
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“…An alternative approach is to still adopt the classical Fick's first law, j = −D∇c, but embedding the stress effect by empirically assuming Li diffusivity as a function of both Li concentration and the stress state, 12,66,67 i.e., D = D(c; σ). The effective diffusivity can be expressed by D ¼ D 0 expðÀpΩ=k B TÞ, where D 0 is the diffusivity at the stress-free condition, p is the hydrostatic pressure, Ω is the activation volume and k B T is the thermal energy.…”
Section: Governing Equationsmentioning
confidence: 99%
“…The unlithiated domain is modeled as an isotropic, elastic material, whose stress and strain rates obey the classical Hooke's law with two material constants, Young's modulus Y and Poisson's ratio ν. The lithiated phase is modeled by an isotropic elastic, perfectly, 65 or rate-dependent plastic material, 67,70,[73][74][75][76][77] with phase-dependent elastic constants. Note that the ratedependent plasticity introduces an additional time scale characterizing the stress relaxation, and thus may affect stress generation.…”
Section: Governing Equationsmentioning
confidence: 99%
“…For instance, using the CowperSymonds overstress power law to approximate the perfectly plastic limit in Ref. 24, Yang et al…”
Section: Modelmentioning
confidence: 99%
“…The concurrent processes of Li transport, phase transformation and elasto-plastic deformation in Si anodes have inspired numerous modeling works [19][20][21][22][23][24][25] . Several groups developed models to explain the anisometric volume expansion of c-Si nanowires upon lithiation 14,18,24 .…”
Section: Introductionmentioning
confidence: 99%
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