| Lithium-ion batteries are widely used in automotive electronics,portable devices and renewable energy systems due to their low manufacturing cost,inherent excellent electrochemical performance and high energy density.With the booming development of new nano-electrode materials(e.g.magnetic Fe3O4 nanoparticles),nano-batteries have become a new energy storage element,which has aroused great research interest of scholars and engineers.In recent years,with the rapid development of rapid charging technology,the transient change of ion concentration in the process of rapid charging of nano lithium batteries will lead to the evolution of ion diffusion and diffusion-induced stress.In this case,an accurate description of the interaction mechanism between mass diffusion and matter is of great significance for the preparation and development of nanocell structures in non-uniform concentration environments.In this paper,based on the micro-scale elastic theory and mass transfer model,combined with non-Fick’s law,a mechano-chemical coupling model is established and used to study the transient impact response of micro-nano structures under molar concentration transient loading.Specific research contents include:(1)Based on the excellent performance of fractional order operators in characterizing physical phenomena with strong memory-dependence,the dynamic response of multi-layered composite nanostructures to molar concentration shock loading with fractional order non-Fick mechanical diffusion will be investigated.The time-fractional order derivatives defined by Caputo-Fabrizio,Atangana-Baleanu and Tempered-Caputo are introduced into the strain relationship and Fick’s mass diffusion law to develop a new non-Fick fractional diffusion-elasticity model.The newly established model and the research results obtained will provide new insights and guidance for the diffusion management,displacement control and stress isolation for multilayer composite structures subjected to molar concentration shock loading.(2)This work aims to develop a non-Fick diffusion-elasticity based on a new nonlocal dual-phase-lag diffusion model,which fully incorporates spatial and temporal nonlocal effects of mass transfer.New constitutive and field equations are strictly derived via nonlocal continuum mechanics.To illustrate its application values,a one-dimensional isotropic homogeneous thin layer of finite thickness subjected to transient shock loadings of molar concentration is investigated.The achieved dimensionless numerical results reveal that the newly introduced spatially and temporally nonlocal parameters remarkably affect diffusive wave propagation and eliminate displacement or stress singularity.(3)This work aims to investigate size-dependent dynamic mechanical-diffusion responses of multi-layered laminated sandwich-like nanocomposites subjected to shock loadings of molar concentration in the context of nonlocal diffusion-elasticity model by a semi-analytical technique via Laplace transformation.The results reveal that the diffusion isolation will be maximally improved and lager harmful chemical stresses can be reduced to some extent for proper materials nonlocal parameters and constants ratios of selected. |