钕铁硼烧结致密化过程中的应力演变模拟及实验验证

孙博; 宋涛; 程芳; 金文斌; 邱文彬; 柳楠; 葛洪良; 王睿; 毛华云

doi:10.3969/j.issn.1000-1158.2026.01.12

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计量学报 ›› 2026, Vol. 47 ›› Issue (1) : 94-101. DOI: 10.3969/j.issn.1000-1158.2026.01.12

电磁学计量

钕铁硼烧结致密化过程中的应力演变模拟及实验验证

孙博 ¹ ,
宋涛 ¹ ,
程芳 ¹ ,
金文斌 ¹ ,
邱文彬 ³ ,
柳楠 ⁴ ,
葛洪良 ¹ ,
王睿 ¹ ,
毛华云 ²

作者信息 +

Simulation and Experimental Verification of Stress Evolution during Sintering Densification of Nd-Fe-B

SUN Bo ¹ ,
SONG Tao ¹ ,
CHENG Fang ¹ ,
JIN Wenbin ¹ ,
QIU Wenbin ³ ,
LIU Nan ⁴ ,
GE Hongliang ¹ ,
WANG Rui ¹ ,
MAO Huayun ²

Author information +

文章历史 +

摘要

基于Drucker-Prager Cap模型，借助ABAQUS软件对钕铁硼块体的致密化过程开展数值模拟研究。通过构建粉末烧结前后应力场分析模型，系统对比不同烧结温度下的应力分布特征和微观结构演变规律，结合扫描电镜结果协同分析。研究表明：在合理的温度区间内，随着烧结温度的升高，应力分布及相对密度均匀性提高，裂纹萌生概率降低；同时，数值模拟的残余应力与实验测试结果吻合良好。该研究为钕铁硼永磁材料制备工艺的优化、材料性能的提高提供了重要的理论依据与实践指导。

Abstract

Based on the Drucker-Prager Cap model， numerical simulation studies on the densification process of Nd-Fe-B blocks were carried out using ABAQUS software. By constructing the stress field analysis model before and after powder sintering， the stress distribution characteristics and microstructure evolution laws at different sintering temperatures were systematically compared， and the results were analyzed in conjunction with scanning electron microscopy. The research shows that within a reasonable temperature range， as the sintering temperature increases， the uniformity of stress distribution and relative density improves， and the probability of crack initiation decreases. At the same time， the residual stress obtained from numerical simulation is in good agreement with the experimental test results. This study provides important theoretical basis and practical guidance for the optimization of the preparation process of Nd-Fe-B permanent magnetic materials and the improvement of material performance.

导出引用

孙博, 宋涛, 程芳, 等. 钕铁硼烧结致密化过程中的应力演变模拟及实验验证[J]. 计量学报. 2026, 47(1): 94-101 https://doi.org/10.3969/j.issn.1000-1158.2026.01.12

SUN Bo, SONG Tao, CHENG Fang, et al. Simulation and Experimental Verification of Stress Evolution during Sintering Densification of Nd-Fe-B[J]. Acta Metrologica Sinica. 2026, 47(1): 94-101 https://doi.org/10.3969/j.issn.1000-1158.2026.01.12

中图分类号： TB972

参考文献

列表( 原文顺序 | 文献年度倒序 | 文中引用次数倒序 ) 可视化分析

[1]	AMATO A， BECCI A， BIRLOAGA I， et al. Sustainability analysis of innovative technologies for the rare earth elements recovery ［J］. Renewable and Sustainable Energy Reviews， 2019， 106： 41-53. 本文引用 [1]

[2]	GUTFLEISCH O， KIRCHNER A， GRVNBERGER W， et al. Backward extruded Nd-Fe-B HDDR ringmagnets ［J］. Journal of Magnetism and Magnetic Materials， 1998， 183（3）： 359-364.

[3]	SADULLAHOÃLU G， ALTUNCEVAHIR B， ADDEMI A O. Effect of intergranular phase segregation on magnetic properties of Nd-Fe-B magnet ［J］. Electronic Materials Letters， 2014， 10（1）： 153-157.

[4]	HENDERSON R J， CHANDLER H W， AKISANYA A R，et al. Finite element modelling of cold isostatic pressing［J］. Journal of the European Ceramic Society， 2000， 20（8）： 1121-1128. 本文引用 [1]

[5]

田广科，陆中砥，柴培钊，等.重稀土晶界扩散工艺制备高矫顽力钕铁硼磁体研究进展与应用现状［J］.材料导报， 2025， 39（6）： 171-176.

TIAN

G K

， LU

Z D

， CHAI

P Z

，et al. Research progress and application status of high coercivity Nd-Fe-B magnets prepared by heavy rare earth grain boundary diffusion process［J］. Materials Bulletin， 2025， 39（6）： 171-176.

本文引用 [1]

[6]	董静静，石俊杰，邱玉超，等.废弃钕铁硼磁体稀土元素回收工艺研究现状及展望［J］.中国有色冶金， 2025， 54（1）： 30-41. DONG J J， SHI J J， QIU Y C，et al. Research status and prospect of rare earth element recovery process for abandoned Nd-Fe-B magnet［J］. China Nonferrous Metallurgy， 2025， 54（1）： 30-41. 本文引用 [1]

[7]	RKHOEI A， SHAMLOO A， AZAMI A.R. Extended finite element method in plasticity forming of powder compaction with contact friction［J］. International Journal of Solids and Structures. 2006， 43（18-19）： 5421-5448. 本文引用 [1]

[8]	MARDARI A， MAZURU S， et al. Simulation of the pressing process with combined forces by using ABAQUS software［J］. International Conference on Innovative Manufacturing Engineering. 2013， 371： 158-162. 本文引用 [2]

[9]	SUN Z Z， PENG W F， LI H，et al. Simulation of Ti-30Cu powder rolling process based on Drucker-Prager Cap model［J］. Materials for Mechanical Engineering. 2023， 47（3）： 92-102. 本文引用 [2]

[10]	STAF H， OLSSON E， LARSSON P L. Mechanical characterization of powder materials： A general approach detailed for cemented carbides［J］. Powder Technology， 2020， 364： 531-537. 本文引用 [1]

[11]	周蕊.粉末冶金压坯残余应力与裂纹损伤研究［D］. 天津：天津大学， 2013.

[12]	OKIMURA Y， IMAMURA R， SHIMO K . et al. Experimental Construction and Validation of Revised Drucker–Prager Model Using Finite Element Method for Moisture Condensation Zone in Bentonite-Bonded Silica Sand［J］. Journal of Materials Engineering and Performance， 2024，33： 9145-9162. 本文引用 [1]

[13]	彭超.粉末热压成形中高温Drucker-Prager Cap本构模型的建立［D］.武汉：武汉理工大学，2021. 本文引用 [1]

[14]	SHIN H， KIM J B. Physical interpretations for cap parameters of the modified Drucker-Prager Cap model in relation to the deviator stress curve of a particulate compact in conventional triaxial testing［J］. Powder Technology， 2015， 280： 94-102. 本文引用 [1]

[15]	LAMARCHE K， BUCKLEY D， HARTLEY R， et al. Assessing materials’ tablet compaction properties using the Drucker-Prager Cap model［J］. Powder Technology， 2014， 267： 208-220. 本文引用 [1]

[16]	ALMANSTOTTER J. A modified Drucker-Prager Cap model for finite element simulation of doped tungsten powder compaction［J］. International Journal of Refractory Metals & Hard Materials， 2015，50： 290. 本文引用 [1]

[17]	全国无损检测标准化技术委员会. 无损检测　X射线应力测定方法： GB/T 7704-2017 ［S］. 北京：中国标准出版社， 2017. 本文引用 [1]

[18]	YAZICI B A， KRAFT T， RIEDEL H. Finite element modelling of PM surface densification process ［J］， Powder Metallurgy， 2008， 51（3）： 211-216. 本文引用 [1]

[19]	REN X， ZHANG T， ZHANG Y， et al. Mechanical properties and residual stresses changing on 00Cr12 alloy by nanoseconds laser shock processing at high temperatures［J］. Materials Science and Engineering： A， 2010， 528（4）： 1949-1953. 本文引用 [1]

[20]	BHATTACHARYA S. Pressure-assisted densification of non-homogeneous ceramic compacts ［D］. University of Massachusetts Amherst，1997. 本文引用 [1]

[21]	JING Z， GUO Z H， LI M Y，et al. Effects of Hot-Pressing Temperature on the Magnetic Properties of Hot-Pressed Nanocrystalline Nd-Fe-B Magnets［J］. IEEE Transactions on Magnetics， 2018， 54（11）： 1-5. 本文引用 [1]