基于Kuhn屈服准则的锂离子电池极片辊压力建模与分析

doi:10.3969/j.issn.1004-132X.2026.03.020

摘要/Abstract

摘要：

辊压是锂离子电池极片制造过程中的重要工序，辊压力是极片辊压的重要参数，由于电池极片的特殊结构，辊压力难以预测。为解决这一问题，基于粉末成形领域的Kuhn屈服准则，建立了一种锂离子电池极片辊压过程单位压力分布预测模型，并通过辊压实验对模型进行了验证。结果表明，模型计算结果与实验数据吻合良好，对单位宽度压力的预测误差保持在10%以内。进一步研究分析了辊缝内单位压力与摩擦应力分布特征，分别讨论了压下率与轧辊直径对单位宽度压力与单位宽度力矩的影响，研究结果显示，随着压下率和轧辊直径的增大，单位宽度压力与单位宽度力矩均随之增大。

关键词: 锂离子电池极片, 辊压, Kuhn屈服准则, 单位压力分布, 单位宽度压力, 力矩

Abstract:

Calendering was a crucial process in the manufacturing of lithium-ion battery electrodes， and the calendering pressure was an important parameter for electrode calendering. Due to the special structures of battery electrodes， the calendering pressure was difficult to predict. To address this issue， a predictive model was established for the unit pressure distribution during the calendering processes of lithium-ion battery electrodes based on Kuhn yield criterion in the field of powder forming. The model was validated through calendering experiments. The results demonstrate good agreement with experimental data， and the prediction errors of the unit width pressure remain within 10%. Further analyses exploring the distribution characteristics of unit pressure and frictional stress within the roll gap were carried out， and the effects of compression rate and roll diameter on unit width pressure and unit width torque were disussed. The results indicate that both unit width pressure and unit width torque increase with the increasing compression rate and roll diameter.

Key words: lithium-ion battery electrode, calendering, Kuhn yield criterion, unit pressure distribution, unit width pressure, torque

中图分类号:

TG335

王国栋, 王东城, 段伯伟, 刘宏民. 基于Kuhn屈服准则的锂离子电池极片辊压力建模与分析[J]. 中国机械工程, 2026, 37(3): 708-716.

WANG Guodong, WANG Dongcheng, DUAN Bowei, LIU Hongmin. Modeling and Analyses of Calendering Pressure for Lithium-ion Battery Electrodes Based on Kuhn Yield Criterion[J]. China Mechanical Engineering, 2026, 37(3): 708-716.

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链接本文: https://www.cmemo.org.cn/CN/10.3969/j.issn.1004-132X.2026.03.020

https://www.cmemo.org.cn/CN/Y2026/V37/I3/708

图/表 18

图1 电池极片辊压示意图

Fig.1 Schematic diagram of the battery electrode calendering process

图2 Kuhn屈服准则在平面应变状态下的屈服轨迹

Fig.2 The yield locus of the Kuhn yield criterion under plane strain conditions

图3 极片微元体受力示意图

Fig.3 Schematic diagram of the forces on electrode differential element

图4 轧辊弹性压扁示意图

Fig.4 Schematic diagram of roll elastic flattening

图5 实验辊压机

Fig.5 Experimental calender

图6 辊压实验采集的辊压力

Fig.6 Calendering pressure measured during the calendering experiment

表1 压汞仪参数

Tab.1 Mercury intrusion porosimeter parameters

	低压站	高压站
压力变化范围/Pa	0~3.45×10⁵	大气压~2.28×10⁸
分辨率/Pa	68.9	689
孔径测量范围/μm	3.6~360	0.005~6

表2 涂层参数

Tab.2 Coating parameters

	σ₀/MPa	n	K/MPa	s	m	ρ₀
正极	410	3.5	4200	1	4	0.581
负极	153	2.5	700	1	6	0.461

图7 辊压正极片单位宽度压力对比

Fig.7 Comparison of unit width pressure for cathode electrode during calendering

图8 辊压负极片单位宽度压力对比

Fig.8 Comparison of unit width pressure for anode electrode during calendering

表3 Kawakita方程拟合参数

Tab.3 Fitting parameters of the Kawakita equation

轧辊直径/mm	极片类型	A	B
110	正极	0.357	352.77
110	负极	0.571	127.99
130	正极	0.329	314.41
130	负极	0.605	152.28

图9 不同压下率条件下极片单位压力分布

Fig.9 Unit pressure distribution of the electrode under different compression rates

图10 不同压下率条件下极片摩擦应力分布

Fig.10 Frictional stress distribution of the electrode under different compression rates

图11 辊压与平面压制平均单位压力对比

Fig.11 Comparison of average unit pressure between calendering and flat pressing

图12 压下率与单位宽度压力之间的关系

Fig.12 The relationship between compression rate and unit width pressure

图13 压下率与单位宽度力矩之间的关系

Fig.13 The relationship between compression rate and unit width torque

图14 不同压下率条件下轧辊直径与单位宽度压力之间的关系

Fig.14 The relationship between roll diameter and unit width pressure under different compression rates

图15 不同压下率条件下轧辊直径与单位宽度力矩之间的关系

Fig.15 The relationship between roll diameter and unit width torque under different compression rates

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