A coupled finite element-virtual element method for thermomechanical analysis of electronic packaging structures

Fuente: arXiv
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Hauptverfasser: Gong, Yanpeng, Li, Sishuai, Mei, Yue, Xu, Bingbing, Qin, Fei, Zhuang, Xiaoying, Rabczuk, Timon
Format: Preprint
Veröffentlicht: 2025
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author Gong, Yanpeng
Li, Sishuai
Mei, Yue
Xu, Bingbing
Qin, Fei
Zhuang, Xiaoying
Rabczuk, Timon
author_facet Gong, Yanpeng
Li, Sishuai
Mei, Yue
Xu, Bingbing
Qin, Fei
Zhuang, Xiaoying
Rabczuk, Timon
contents This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular geometries to maximize computational efficiency and VEM for complex shapes to enhance geometric flexibility. Interface compatibility is maintained through coincident nodal correspondence, ensuring solution continuity across domain boundaries while reducing meshing complexity and computational overhead. Validation through electronic packaging applications demonstrates reasonable agreement with reference solutions and acceptable convergence characteristics across varying mesh densities. The method effectively captures thermal distributions and stress concentrations in multi-material systems, establishing a practical computational framework for electronic packaging analysis involving complex geometries. Source codes are available at https://github.com/yanpeng-gong/FeVeCoupled-ElectronicPackaging.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09348
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A coupled finite element-virtual element method for thermomechanical analysis of electronic packaging structures
Gong, Yanpeng
Li, Sishuai
Mei, Yue
Xu, Bingbing
Qin, Fei
Zhuang, Xiaoying
Rabczuk, Timon
Numerical Analysis
Computational Engineering, Finance, and Science
This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular geometries to maximize computational efficiency and VEM for complex shapes to enhance geometric flexibility. Interface compatibility is maintained through coincident nodal correspondence, ensuring solution continuity across domain boundaries while reducing meshing complexity and computational overhead. Validation through electronic packaging applications demonstrates reasonable agreement with reference solutions and acceptable convergence characteristics across varying mesh densities. The method effectively captures thermal distributions and stress concentrations in multi-material systems, establishing a practical computational framework for electronic packaging analysis involving complex geometries. Source codes are available at https://github.com/yanpeng-gong/FeVeCoupled-ElectronicPackaging.
title A coupled finite element-virtual element method for thermomechanical analysis of electronic packaging structures
topic Numerical Analysis
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2511.09348