Study on the optimization of bending-vibration coupling stress of QFN solder joints based on Taguchi orthogonal experimental design and Harris Hawks Optimization algorithm

A three-dimensional finite element analysis model of QFN (Quad Flat No-Lead package) solder joints was established, and stress–strain analysis under bending-vibration coupling conditions was conducted. A validation experiment for measuring the bending-vibration coupled strain of QFN solder joints wa...

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Published inMicroelectronics and reliability Vol. 173; p. 115839
Main Authors Wei, Jisheng, Huang, Chunyue, Gao, Chao, Wang, Gui
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2025
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Online AccessGet full text
ISSN0026-2714
DOI10.1016/j.microrel.2025.115839

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Abstract A three-dimensional finite element analysis model of QFN (Quad Flat No-Lead package) solder joints was established, and stress–strain analysis under bending-vibration coupling conditions was conducted. A validation experiment for measuring the bending-vibration coupled strain of QFN solder joints was designed and successfully carried out. Based on Taguchi Orthogonal Experimental Design and analysis of variance and range, the effects of pad length, pad width, and solder joint standoff height on the bending-vibration coupled stress and strain of solder joints were investigated. Taking the bending-vibration coupled stress as the optimization objective, the structural parameters of the solder joints were optimized using the Harris Hawks Optimization (HHO) algorithm. The results show that the solder joint standoff height has the greatest influence on the bending-vibration coupled stress. The optimal parameter combination for the QFN solder joints is: pad length of 0.62 mm, pad width of 0.21 mm, and solder joint standoff height of 0.09 mm. The optimized parameter combination reduced the bending-vibration coupled stress by 34.8%. These findings provide theoretical guidance for reducing the bending-vibration coupled stress in QFN solder joints. •3D QFN solder model validated for bending-vibration stress analysis.•Solder joint standoff height dominates bending-vibration stress.•HHO Algorithm optimizes QFN solder geometry for reliability enhancement.
AbstractList A three-dimensional finite element analysis model of QFN (Quad Flat No-Lead package) solder joints was established, and stress–strain analysis under bending-vibration coupling conditions was conducted. A validation experiment for measuring the bending-vibration coupled strain of QFN solder joints was designed and successfully carried out. Based on Taguchi Orthogonal Experimental Design and analysis of variance and range, the effects of pad length, pad width, and solder joint standoff height on the bending-vibration coupled stress and strain of solder joints were investigated. Taking the bending-vibration coupled stress as the optimization objective, the structural parameters of the solder joints were optimized using the Harris Hawks Optimization (HHO) algorithm. The results show that the solder joint standoff height has the greatest influence on the bending-vibration coupled stress. The optimal parameter combination for the QFN solder joints is: pad length of 0.62 mm, pad width of 0.21 mm, and solder joint standoff height of 0.09 mm. The optimized parameter combination reduced the bending-vibration coupled stress by 34.8%. These findings provide theoretical guidance for reducing the bending-vibration coupled stress in QFN solder joints. •3D QFN solder model validated for bending-vibration stress analysis.•Solder joint standoff height dominates bending-vibration stress.•HHO Algorithm optimizes QFN solder geometry for reliability enhancement.
ArticleNumber 115839
Author Huang, Chunyue
Wei, Jisheng
Gao, Chao
Wang, Gui
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Cites_doi 10.1002/adma.202104290
10.1016/j.eswa.2021.116432
10.1109/TIA.2020.3001538
10.3390/mi16020212
10.1109/ACCESS.2020.3029728
10.1109/TCPMT.2023.3342415
10.3139/120.111377
10.1016/j.microrel.2022.114751
10.1016/j.energy.2020.117040
10.1016/j.future.2019.02.028
10.1021/acsami.9b21467
10.1007/s10854-023-11743-6
10.1007/s10836-024-06151-5
10.3390/cryst13030473
10.1109/TCPMT.2024.3452958
10.1109/ACCESS.2020.2968981
10.1016/j.pedc.2023.100034
10.6028/jres.096.034
10.1038/s41598-025-94919-w
10.1166/jno.2024.3617
10.1007/s10836-024-06101-1
10.1016/j.jmapro.2023.07.043
10.3390/electronics11121919
10.1016/j.microrel.2022.114742
10.3390/electronics14020292
10.1016/j.wneu.2022.02.112
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Keywords QFN solder joints
Structural parameters optimization
Taguchi Orthogonal
Bending-vibration coupling
Harris Hawks Optimization
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References Gao, Huang, Liang, Fu, Kuang (b3) 2021; 40
Yu, Dai, Li (b12) 2024; 40
Yang, Wu, Yang (b2) 2025; 44
Cui, Tian, Xu, Wang, Huang, Peng, Chen (b13) 2023; 13
Qais, Hasanien, Alghuwainem (b32) 2020; 195
Zhujani, Todorov, Kamberov, Abdullahu (b21) 2023
Nikhila Sri, Kottapalli, Pavani, Ganteda, Gouthami, Abd-Elmonem, Haroun, Hussain, Bayram, Almaliki (b22) 2025; 15
Zhong, Li (b30) 2022; 192
Chen, Xie, Long, Kuang, Chen, Hou, Gao, Zhou, Fan, He (b24) 2021; 33
Houssein, Saad, Hussain, Zhu, Shaban, Hassaballah (b33) 2020; 8
Yıldız, Yıldız, Sait, Li (b34) 2019; 61
Yang, Sun, Zhang (b20) 2023; 44
Qi, Xu, Yu, Liu, Xie, Wu, Yang, Zhang, Zhang, Li (b8) 2023; 34
Zhan, Zhan, Yang (b9) 2024; 19
Pisică, Dammers, Boersma, Volovici (b26) 2022; 161
Liu, Li, Liu (b25) 2020; 12
Qi (b15) 2023; 14
Ferdowsi, Doranga, Li (b14) 2025; 14
Kacker, Lagergren, Filliben (b23) 1991; 96
Messaoudène, Mekidèche, Bendahmane, Tabti, Medles, Dascalescu (b27) 2020; 56
Park, An, Ma, Kim (b7) 2023; 102
Elgamal, Yasin, Tubishat, Alswaitti, Mirjalili (b31) 2020; 8
Tian, Li, He, Ji, Chen (b10) 2025; 16
Lederer, Kotas, Khatibi (b5) 2023; 4
Heidari, Mirjalili, Faris, Aljarah, Mafarja, Chen (b28) 2019; 97
Liu, Huang, Wu, Liu, Liang, Gao, Cao (b19) 2024
Huang, Han, Liang, Li, Huang (b1) 2018; 37
Hussien, Abualigah, Abu Zitar, Hashim, Amin, Saber, Almotairi, Gandomi (b29) 2022; 11
Gleichauf, Maniar, Wiese (b4) 2022; 139
Riegel, Gromala, Rzepka (b6) 2022; 137
Tang, Huang, Liang, Kuang, Zhao (b17) 2020; 48
Wu, Huang, Wei, Liang, Gao, Liu, Cao (b16) 2024
Muthuram, Saravanan (b11) 2024; 40
Tian, Wang, Tian, Zhao (b18) 2017; 38
Qi (10.1016/j.microrel.2025.115839_b15) 2023; 14
Muthuram (10.1016/j.microrel.2025.115839_b11) 2024; 40
Zhong (10.1016/j.microrel.2025.115839_b30) 2022; 192
Tian (10.1016/j.microrel.2025.115839_b10) 2025; 16
Liu (10.1016/j.microrel.2025.115839_b25) 2020; 12
Qi (10.1016/j.microrel.2025.115839_b8) 2023; 34
Kacker (10.1016/j.microrel.2025.115839_b23) 1991; 96
Zhan (10.1016/j.microrel.2025.115839_b9) 2024; 19
Liu (10.1016/j.microrel.2025.115839_b19) 2024
Messaoudène (10.1016/j.microrel.2025.115839_b27) 2020; 56
Park (10.1016/j.microrel.2025.115839_b7) 2023; 102
Hussien (10.1016/j.microrel.2025.115839_b29) 2022; 11
Tang (10.1016/j.microrel.2025.115839_b17) 2020; 48
Wu (10.1016/j.microrel.2025.115839_b16) 2024
Pisică (10.1016/j.microrel.2025.115839_b26) 2022; 161
Heidari (10.1016/j.microrel.2025.115839_b28) 2019; 97
Riegel (10.1016/j.microrel.2025.115839_b6) 2022; 137
Qais (10.1016/j.microrel.2025.115839_b32) 2020; 195
Cui (10.1016/j.microrel.2025.115839_b13) 2023; 13
Chen (10.1016/j.microrel.2025.115839_b24) 2021; 33
Zhujani (10.1016/j.microrel.2025.115839_b21) 2023
Gao (10.1016/j.microrel.2025.115839_b3) 2021; 40
Lederer (10.1016/j.microrel.2025.115839_b5) 2023; 4
Tian (10.1016/j.microrel.2025.115839_b18) 2017; 38
Nikhila Sri (10.1016/j.microrel.2025.115839_b22) 2025; 15
Yu (10.1016/j.microrel.2025.115839_b12) 2024; 40
Huang (10.1016/j.microrel.2025.115839_b1) 2018; 37
Elgamal (10.1016/j.microrel.2025.115839_b31) 2020; 8
Yıldız (10.1016/j.microrel.2025.115839_b34) 2019; 61
Houssein (10.1016/j.microrel.2025.115839_b33) 2020; 8
Gleichauf (10.1016/j.microrel.2025.115839_b4) 2022; 139
Ferdowsi (10.1016/j.microrel.2025.115839_b14) 2025; 14
Yang (10.1016/j.microrel.2025.115839_b2) 2025; 44
Yang (10.1016/j.microrel.2025.115839_b20) 2023; 44
References_xml – volume: 11
  start-page: 1919
  year: 2022
  ident: b29
  article-title: Recent advances in harris hawks optimization: A comparative study and applications
  publication-title: Electronics
– volume: 48
  start-page: 1117
  year: 2020
  end-page: 1123
  ident: b17
  article-title: Parameter optimization of PCB-level BGA solder joints based on stress analysis during reflow cooling process
  publication-title: Acta Electron. Sin.
– volume: 14
  start-page: 27
  year: 2023
  end-page: 35
  ident: b15
  article-title: Reliability analysis and life prediction of solder joints for avionics devices with immersion cooling
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
– volume: 97
  start-page: 849
  year: 2019
  end-page: 872
  ident: b28
  article-title: Harris Hawks optimization: Algorithm and applications
  publication-title: Future Gener. Comput. Syst.
– volume: 139
  year: 2022
  ident: b4
  article-title: Reliability testing of solder joints under combined cyclic thermal and bending load for automotive applications
  publication-title: Microelectron. Reliab.
– volume: 192
  year: 2022
  ident: b30
  article-title: Comprehensive learning Harris Hawks-equilibrium optimization with terminal replacement mechanism for constrained optimization problems
  publication-title: Expert Syst. Appl.
– volume: 44
  start-page: 36
  year: 2023
  end-page: 41+131
  ident: b20
  article-title: Optimal design of BGA solder joint structural parameters based on response surface methodology
  publication-title: Trans. the China Weld. Inst.
– volume: 137
  year: 2022
  ident: b6
  article-title: Analysis of the stress state in QFN package during four point bending and temperature experiments utilizing piezoresistive stress sensor
  publication-title: Microelectron. Reliab.
– volume: 8
  start-page: 19381
  year: 2020
  end-page: 19397
  ident: b33
  article-title: Optimal sink node placement in large scale wireless sensor networks based on Harris’ Hawks optimization algorithm.
  publication-title: IEEE Access
– volume: 14
  start-page: 292
  year: 2025
  ident: b14
  article-title: Comparison of the reliability of SAC305 and innolot-based solder alloy in a board-level BGA package considering harmonic and random vibration environment
  publication-title: Electronics
– year: 2024
  ident: b19
  article-title: Analysis and optimization of random vibration fatigue life for stacked solder joints based on orthogonal experimental design
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
– volume: 40
  start-page: 761
  year: 2024
  end-page: 776
  ident: b11
  article-title: Fatigue life based study of electronic package mounting locations on printed circuit boards subjected to random vibration loads
  publication-title: J. Electron. Test.
– year: 2023
  ident: b21
  article-title: Mathematical modeling and optimization of machining parameters in CNC turning process of Inconel 718 using the Taguchi method
  publication-title: J. Eng. Res.
– year: 2024
  ident: b16
  article-title: Multi-objective optimization study of stacked BGA solder joints under coupled bending-vibration load and crosstalk effects
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
– volume: 4
  year: 2023
  ident: b5
  article-title: Lifetime modeling of solder joints based on accelerated mechanical testing and finite element analysis
  publication-title: Power Electron. Devices Components
– volume: 96
  start-page: 577
  year: 1991
  ident: b23
  article-title: Taguchi’s orthogonal arrays are classical designs of experiments
  publication-title: J. Res. Natl. Inst. Stand. Technol.
– volume: 12
  start-page: 6503
  year: 2020
  end-page: 6515
  ident: b25
  article-title: Novel functionalized BN nanosheets/epoxy composites with advanced thermal conductivity and mechanical properties
  publication-title: ACS Appl. Mater. & Interfaces
– volume: 161
  start-page: 230
  year: 2022
  end-page: 239
  ident: b26
  article-title: Tenets of good practice in regression analysis. a brief tutorial
  publication-title: World Neurosurg.
– volume: 37
  start-page: 171
  year: 2018
  end-page: 178
  ident: b1
  article-title: Finite element analysis of thermal-vibration coupled stress-strain behavior in micro-scale CSP solder joints
  publication-title: J. Vib. Shock.
– volume: 40
  start-page: 55
  year: 2021
  end-page: 62, 91
  ident: b3
  article-title: Stress-strain analysis and optimization of bending-vibration coupled micro-scale CSP solder joints
  publication-title: J. Vib. Shock.
– volume: 61
  start-page: 725
  year: 2019
  end-page: 733
  ident: b34
  article-title: The Harris Hawks, grasshopper and multi-verse optimization algorithms for the selection of optimal machining parameters in manufacturing operations
  publication-title: Mater. Test.
– volume: 13
  start-page: 473
  year: 2023
  ident: b13
  article-title: The reliability of the complex components under temperature cycling, random vibration, and combined loading for airborne applications
  publication-title: Crystals
– volume: 33
  year: 2021
  ident: b24
  article-title: Interfacial laser-induced graphene enabling high-performance liquid- solid triboelectric nanogenerator
  publication-title: Adv. Mater.
– volume: 56
  start-page: 5463
  year: 2020
  end-page: 5471
  ident: b27
  article-title: Optimization of the active neutralization of polypropylene film using response surface methodology
  publication-title: IEEE Trans. Ind. Appl.
– volume: 40
  start-page: 107
  year: 2024
  end-page: 116
  ident: b12
  article-title: Research on the reliability of interconnected solder joints of copper pillars under random vibration
  publication-title: J. Electron. Test.
– volume: 19
  start-page: 658
  year: 2024
  end-page: 664
  ident: b9
  article-title: Random vibration fatigue life prediction of nano-silver solder joint
  publication-title: J. Nanoelectron. Optoelectron.
– volume: 15
  start-page: 10209
  year: 2025
  ident: b22
  article-title: Comparison between response surface methodology and Taguchi method for dyeing process parameters optimization in fabric manufacturing by empirical planning
  publication-title: Sci. Rep.
– volume: 102
  start-page: 182
  year: 2023
  end-page: 194
  ident: b7
  article-title: Prediction of transverse welding residual stress considering transverse and bending constraints in butt welding
  publication-title: J. Manuf. Process.
– volume: 34
  start-page: 2318
  year: 2023
  ident: b8
  article-title: Reliability analysis of random vibration for a CCGA624 component based on an improved Miner’s rule
  publication-title: J. Mater. Sci., Mater. Electron.
– volume: 44
  start-page: 46
  year: 2025
  end-page: 49
  ident: b2
  article-title: Research on surface defect detection technology of QFN chips based on YOLOX
  publication-title: Transducer Microsyst. Technol.
– volume: 16
  start-page: 212
  year: 2025
  ident: b10
  article-title: Reliability analysis of complex PCB assemblies under temperature cycling and random vibration
  publication-title: Micromachines
– volume: 195
  year: 2020
  ident: b32
  article-title: Parameters extraction of three-diode photovoltaic model using computation and Harris Hawks optimization
  publication-title: Energy
– volume: 38
  start-page: 93
  year: 2017
  end-page: 97, 133
  ident: b18
  article-title: Thermal shock fatigue life prediction of CBGA solder joints under extreme temperatures
  publication-title: Trans. the China Weld. Inst.
– volume: 8
  start-page: 186638
  year: 2020
  end-page: 186652
  ident: b31
  article-title: An improved harris hawks optimization algorithm with simulated annealing for feature selection in the medical field
  publication-title: IEEE Access
– volume: 33
  issue: 44
  year: 2021
  ident: 10.1016/j.microrel.2025.115839_b24
  article-title: Interfacial laser-induced graphene enabling high-performance liquid- solid triboelectric nanogenerator
  publication-title: Adv. Mater.
  doi: 10.1002/adma.202104290
– volume: 192
  year: 2022
  ident: 10.1016/j.microrel.2025.115839_b30
  article-title: Comprehensive learning Harris Hawks-equilibrium optimization with terminal replacement mechanism for constrained optimization problems
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2021.116432
– year: 2023
  ident: 10.1016/j.microrel.2025.115839_b21
  article-title: Mathematical modeling and optimization of machining parameters in CNC turning process of Inconel 718 using the Taguchi method
  publication-title: J. Eng. Res.
– volume: 56
  start-page: 5463
  issue: 5
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b27
  article-title: Optimization of the active neutralization of polypropylene film using response surface methodology
  publication-title: IEEE Trans. Ind. Appl.
  doi: 10.1109/TIA.2020.3001538
– volume: 16
  start-page: 212
  issue: 2
  year: 2025
  ident: 10.1016/j.microrel.2025.115839_b10
  article-title: Reliability analysis of complex PCB assemblies under temperature cycling and random vibration
  publication-title: Micromachines
  doi: 10.3390/mi16020212
– volume: 8
  start-page: 186638
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b31
  article-title: An improved harris hawks optimization algorithm with simulated annealing for feature selection in the medical field
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2020.3029728
– volume: 14
  start-page: 27
  issue: 1
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b15
  article-title: Reliability analysis and life prediction of solder joints for avionics devices with immersion cooling
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
  doi: 10.1109/TCPMT.2023.3342415
– volume: 61
  start-page: 725
  issue: 8
  year: 2019
  ident: 10.1016/j.microrel.2025.115839_b34
  article-title: The Harris Hawks, grasshopper and multi-verse optimization algorithms for the selection of optimal machining parameters in manufacturing operations
  publication-title: Mater. Test.
  doi: 10.3139/120.111377
– volume: 139
  year: 2022
  ident: 10.1016/j.microrel.2025.115839_b4
  article-title: Reliability testing of solder joints under combined cyclic thermal and bending load for automotive applications
  publication-title: Microelectron. Reliab.
  doi: 10.1016/j.microrel.2022.114751
– volume: 195
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b32
  article-title: Parameters extraction of three-diode photovoltaic model using computation and Harris Hawks optimization
  publication-title: Energy
  doi: 10.1016/j.energy.2020.117040
– volume: 48
  start-page: 1117
  issue: 06
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b17
  article-title: Parameter optimization of PCB-level BGA solder joints based on stress analysis during reflow cooling process
  publication-title: Acta Electron. Sin.
– volume: 97
  start-page: 849
  year: 2019
  ident: 10.1016/j.microrel.2025.115839_b28
  article-title: Harris Hawks optimization: Algorithm and applications
  publication-title: Future Gener. Comput. Syst.
  doi: 10.1016/j.future.2019.02.028
– volume: 12
  start-page: 6503
  issue: 5
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b25
  article-title: Novel functionalized BN nanosheets/epoxy composites with advanced thermal conductivity and mechanical properties
  publication-title: ACS Appl. Mater. & Interfaces
  doi: 10.1021/acsami.9b21467
– volume: 34
  start-page: 2318
  issue: 36
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b8
  article-title: Reliability analysis of random vibration for a CCGA624 component based on an improved Miner’s rule
  publication-title: J. Mater. Sci., Mater. Electron.
  doi: 10.1007/s10854-023-11743-6
– volume: 40
  start-page: 761
  issue: 6
  year: 2024
  ident: 10.1016/j.microrel.2025.115839_b11
  article-title: Fatigue life based study of electronic package mounting locations on printed circuit boards subjected to random vibration loads
  publication-title: J. Electron. Test.
  doi: 10.1007/s10836-024-06151-5
– volume: 13
  start-page: 473
  issue: 3
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b13
  article-title: The reliability of the complex components under temperature cycling, random vibration, and combined loading for airborne applications
  publication-title: Crystals
  doi: 10.3390/cryst13030473
– year: 2024
  ident: 10.1016/j.microrel.2025.115839_b19
  article-title: Analysis and optimization of random vibration fatigue life for stacked solder joints based on orthogonal experimental design
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
  doi: 10.1109/TCPMT.2024.3452958
– volume: 8
  start-page: 19381
  issue: 99
  year: 2020
  ident: 10.1016/j.microrel.2025.115839_b33
  article-title: Optimal sink node placement in large scale wireless sensor networks based on Harris’ Hawks optimization algorithm.
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2020.2968981
– volume: 37
  start-page: 171
  issue: 15
  year: 2018
  ident: 10.1016/j.microrel.2025.115839_b1
  article-title: Finite element analysis of thermal-vibration coupled stress-strain behavior in micro-scale CSP solder joints
  publication-title: J. Vib. Shock.
– volume: 4
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b5
  article-title: Lifetime modeling of solder joints based on accelerated mechanical testing and finite element analysis
  publication-title: Power Electron. Devices Components
  doi: 10.1016/j.pedc.2023.100034
– volume: 96
  start-page: 577
  issue: 5
  year: 1991
  ident: 10.1016/j.microrel.2025.115839_b23
  article-title: Taguchi’s orthogonal arrays are classical designs of experiments
  publication-title: J. Res. Natl. Inst. Stand. Technol.
  doi: 10.6028/jres.096.034
– volume: 38
  start-page: 93
  issue: 10
  year: 2017
  ident: 10.1016/j.microrel.2025.115839_b18
  article-title: Thermal shock fatigue life prediction of CBGA solder joints under extreme temperatures
  publication-title: Trans. the China Weld. Inst.
– volume: 15
  start-page: 10209
  issue: 1
  year: 2025
  ident: 10.1016/j.microrel.2025.115839_b22
  article-title: Comparison between response surface methodology and Taguchi method for dyeing process parameters optimization in fabric manufacturing by empirical planning
  publication-title: Sci. Rep.
  doi: 10.1038/s41598-025-94919-w
– volume: 19
  start-page: 658
  issue: 6
  year: 2024
  ident: 10.1016/j.microrel.2025.115839_b9
  article-title: Random vibration fatigue life prediction of nano-silver solder joint
  publication-title: J. Nanoelectron. Optoelectron.
  doi: 10.1166/jno.2024.3617
– volume: 40
  start-page: 107
  issue: 1
  year: 2024
  ident: 10.1016/j.microrel.2025.115839_b12
  article-title: Research on the reliability of interconnected solder joints of copper pillars under random vibration
  publication-title: J. Electron. Test.
  doi: 10.1007/s10836-024-06101-1
– volume: 40
  start-page: 55
  issue: 09
  year: 2021
  ident: 10.1016/j.microrel.2025.115839_b3
  article-title: Stress-strain analysis and optimization of bending-vibration coupled micro-scale CSP solder joints
  publication-title: J. Vib. Shock.
– volume: 102
  start-page: 182
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b7
  article-title: Prediction of transverse welding residual stress considering transverse and bending constraints in butt welding
  publication-title: J. Manuf. Process.
  doi: 10.1016/j.jmapro.2023.07.043
– volume: 11
  start-page: 1919
  issue: 12
  year: 2022
  ident: 10.1016/j.microrel.2025.115839_b29
  article-title: Recent advances in harris hawks optimization: A comparative study and applications
  publication-title: Electronics
  doi: 10.3390/electronics11121919
– volume: 137
  year: 2022
  ident: 10.1016/j.microrel.2025.115839_b6
  article-title: Analysis of the stress state in QFN package during four point bending and temperature experiments utilizing piezoresistive stress sensor
  publication-title: Microelectron. Reliab.
  doi: 10.1016/j.microrel.2022.114742
– volume: 44
  start-page: 36
  issue: 11
  year: 2023
  ident: 10.1016/j.microrel.2025.115839_b20
  article-title: Optimal design of BGA solder joint structural parameters based on response surface methodology
  publication-title: Trans. the China Weld. Inst.
– year: 2024
  ident: 10.1016/j.microrel.2025.115839_b16
  article-title: Multi-objective optimization study of stacked BGA solder joints under coupled bending-vibration load and crosstalk effects
  publication-title: IEEE Trans. Components, Packag. Manuf. Technol.
– volume: 14
  start-page: 292
  issue: 2
  year: 2025
  ident: 10.1016/j.microrel.2025.115839_b14
  article-title: Comparison of the reliability of SAC305 and innolot-based solder alloy in a board-level BGA package considering harmonic and random vibration environment
  publication-title: Electronics
  doi: 10.3390/electronics14020292
– volume: 161
  start-page: 230
  year: 2022
  ident: 10.1016/j.microrel.2025.115839_b26
  article-title: Tenets of good practice in regression analysis. a brief tutorial
  publication-title: World Neurosurg.
  doi: 10.1016/j.wneu.2022.02.112
– volume: 44
  start-page: 46
  issue: 3
  year: 2025
  ident: 10.1016/j.microrel.2025.115839_b2
  article-title: Research on surface defect detection technology of QFN chips based on YOLOX
  publication-title: Transducer Microsyst. Technol.
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Snippet A three-dimensional finite element analysis model of QFN (Quad Flat No-Lead package) solder joints was established, and stress–strain analysis under...
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elsevier
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Publisher
StartPage 115839
SubjectTerms Bending-vibration coupling
Harris Hawks Optimization
QFN solder joints
Structural parameters optimization
Taguchi Orthogonal
Title Study on the optimization of bending-vibration coupling stress of QFN solder joints based on Taguchi orthogonal experimental design and Harris Hawks Optimization algorithm
URI https://dx.doi.org/10.1016/j.microrel.2025.115839
Volume 173
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