Multi-scale computation methods: Their applications in lithium-ion battery research and development

Shi Siqi^{1, 2, †,}, Gao Jian², Liu Yue^{3, ‡,}, Zhao Yan¹, Wu Qu¹, Ju Wangwei³, Ouyang Chuying^{4, §,}, Xiao Ruijuan^{5, ¶,}

Comparison of radial distributions of the von Mises effective stressσ_e, radial stressσ_rand hoop stressσ_θobtained by: (a) the phase-field model at timet= 500Δtwith phase boundary located approximately atR/A= 0.85, (b) the phase-field model at timet= 9000Δtwith phase boundary at aroundR/A= 0.5, (c) the nonlinear diffusion model with phase boundary atR/A= 0.85, and (d) the nonlinear diffusion model with phase boundary at R/A = 0.5^[97](R: radius of phase interface,A: Si nanowire electrode radius, Δt: the length of the time step leg).