A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning

Numerical simulation of thermal cycling-induced viscoplastic deformation is important to design a reliable underfilled flip chip package, where the time histories of viscoplastic strains are applied to predict the fatigue life of solder joints. However, the high-fidelity full model simulations of a...

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Main Authors: Jiunn-Horng Lee, Chia-Hsiu Ou, Chih-Min Yao, Ming-Hsiao Lee
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10824784/
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author Jiunn-Horng Lee
Chia-Hsiu Ou
Chih-Min Yao
Ming-Hsiao Lee
author_facet Jiunn-Horng Lee
Chia-Hsiu Ou
Chih-Min Yao
Ming-Hsiao Lee
author_sort Jiunn-Horng Lee
collection DOAJ
description Numerical simulation of thermal cycling-induced viscoplastic deformation is important to design a reliable underfilled flip chip package, where the time histories of viscoplastic strains are applied to predict the fatigue life of solder joints. However, the high-fidelity full model simulations of a flip chip package under thermal cycling are time intensive tasks. Nonintrusive model order reduction combined with machine learning is increasingly being used to create efficient surrogate models for problems with high computational costs. In this paper, a segmented Gaussian process regression machine learning method combined with proper orthogonal decomposition is proposed to build the reduced order models of underfilled flip chip packages for thermal cycling-induced viscoplastic displacements and strains, respectively. Simulation results show the derived reduced order models can effectively predict the viscoplastic displacements and strains induced by thermal cycling across the entire solution domain and time history for different material properties of underfills and provide better accuracy than those generated by the non-segmented Gaussian process regression method.
format Article
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institution Kabale University
issn 2169-3536
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publishDate 2025-01-01
publisher IEEE
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spelling doaj-art-a85e3e043dd5418d864188119f4d91c72025-01-14T00:02:43ZengIEEEIEEE Access2169-35362025-01-01134326434010.1109/ACCESS.2025.352585110824784A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine LearningJiunn-Horng Lee0https://orcid.org/0000-0002-7059-2393Chia-Hsiu Ou1Chih-Min Yao2Ming-Hsiao Lee3National Center for High-performance Computing, National Applied Research Laboratories, Hsinchu, TaiwanDepartment of Electrical Engineering, National Taiwan University, Taipei City, TaiwanNational Center for High-performance Computing, National Applied Research Laboratories, Hsinchu, TaiwanNational Center for High-performance Computing, National Applied Research Laboratories, Hsinchu, TaiwanNumerical simulation of thermal cycling-induced viscoplastic deformation is important to design a reliable underfilled flip chip package, where the time histories of viscoplastic strains are applied to predict the fatigue life of solder joints. However, the high-fidelity full model simulations of a flip chip package under thermal cycling are time intensive tasks. Nonintrusive model order reduction combined with machine learning is increasingly being used to create efficient surrogate models for problems with high computational costs. In this paper, a segmented Gaussian process regression machine learning method combined with proper orthogonal decomposition is proposed to build the reduced order models of underfilled flip chip packages for thermal cycling-induced viscoplastic displacements and strains, respectively. Simulation results show the derived reduced order models can effectively predict the viscoplastic displacements and strains induced by thermal cycling across the entire solution domain and time history for different material properties of underfills and provide better accuracy than those generated by the non-segmented Gaussian process regression method.https://ieeexplore.ieee.org/document/10824784/Flip chip packageGaussian process regressionmachine learningproper orthogonal decompositionreduced order modelviscoplastic
spellingShingle Jiunn-Horng Lee
Chia-Hsiu Ou
Chih-Min Yao
Ming-Hsiao Lee
A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
IEEE Access
Flip chip package
Gaussian process regression
machine learning
proper orthogonal decomposition
reduced order model
viscoplastic
title A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
title_full A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
title_fullStr A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
title_full_unstemmed A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
title_short A Nonintrusive Nonlinear Model Reduction Method for Thermal Cycling-Induced Viscoplastic Deformation Problems Based on Segmented Gaussian Process Regression Machine Learning
title_sort nonintrusive nonlinear model reduction method for thermal cycling induced viscoplastic deformation problems based on segmented gaussian process regression machine learning
topic Flip chip package
Gaussian process regression
machine learning
proper orthogonal decomposition
reduced order model
viscoplastic
url https://ieeexplore.ieee.org/document/10824784/
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