物理学报2016，Vol.65Issue(10)：100201-1-100201-9,9.DOI:10.7498/aps.65.100201
广义平面应变锂离子电池柱形梯度材料颗粒电极中扩散诱导应力分析
Stress analysis of a cylindrical comp osition-gradient electro de of lithium-ion battery in generalized plane strain condition
彭颖吒 1张锴 1郑百林 1李泳1
作者信息
- 1. 同济大学应用力学研究所，上海 200092
- 折叠
摘要
Abstract
A novel cylindrical composition-gradient electrode is considered to be one of most potential structures in lithium-ion battery. To investigate the mechanism of a cylindrical composition-gradient electrode under potentiostatic operation, we take Li1.2(Mn0.62Ni0.38)0.8O2 for example. The effects of the three main factors, i.e., diffusion coeffcient, Young’s modulus, partial molar volume of solute, on the stress field in the cylindrical electrode are discussed. Each of the three material parameters is assumed to be a linear function of the distance from the center to surface. The small deformation theory and thermodynamic theory are employed to establish the mathematical model of composition-gradient cylindrical electrode. The mechanics equations and diffusion equation of cylindrical electrode are derived for an inhomogeneous material in plane strain condition. By comparing with single-phase electrode, it is found that Young’s modulus increasing from the center to the surface greatly reduces the max tensile radial stress and tensile hoop stress and changes the location of max radial stress since the radial displacement of the center is restricted. The time for the lithium-ions to reach the center is longer and the tensile stress near the center decreases at dimensionless timeτ =0.0574 when diffusion coeffcient decreases along the radial direction. Owing to the smaller diffusion coeffcient at the surface, there is a reduction in the number of lithium-ions through the unit area in unit time when their corresponding concentration gradients are the same. The variation of partial molar volume means that the volume expansion caused by the intercalation of lithium-ions decreases along the radial direction. Therefore the partial molar volume decreasing along the radial direction considerably reduces the radial stress and the distribution of tangential stress becomes flat. The center point is picked, showing the development of hoop stress. The results show that the hoop stress increases and reaches a maximal value close to the dimensionless timeτ =0.0574. Maximal tensile hoop stress at the center is reduced in an inhomogeneous material. The tensile hoop stress turns into compressive stress over time when elastic modulus and partial molar volume are denoted with E(r) and Ω(r) respectively. The results indicate that the cylindrical composition-gradient electrode with core enriched Ni and edge enriched Mn reduces the max tensile radial stress and tensile hoop stress. It is an effcient way to avoid mechanical fracture in electrode since evidence has accumulated that tensile stress is the lead cause of crack in electrode. The result also provides useful guidance for mitigating the stresses in a cylindrical electrode.关键词
扩散诱导应力/梯度材料/广义平面应变/锂离子电池Key words
diffusion-induced stresses/composition-gradient materials/generalized plane strain/lithium-ion battery引用本文复制引用
彭颖吒,张锴,郑百林,李泳..广义平面应变锂离子电池柱形梯度材料颗粒电极中扩散诱导应力分析[J].物理学报,2016,65(10):100201-1-100201-9,9.
