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

Authored by

Yanpeng Gong, Sishuai Li, Yue Mei, Bingbing Xu, Fei Qin, Xiaoying Zhuang, Timon Rabczuk

Abstract

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 github.com/yanpeng-gong/FeVeCoupled-ElectronicPackaging .

Details

Organisation(s)
Institute of Continuum Mechanics
Institute of Photonics
External Organisation(s)
Beijing University of Technology
Dalian University of Technology
Tongji University
Bauhaus-Universität Weimar
Type
Article
Journal
Engineering Analysis with Boundary Elements
Volume
184
ISSN
0955-7997
Publication date
03.2026
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Analysis, General Engineering, Computational Mathematics, Applied Mathematics
Electronic version(s)
https://doi.org/10.1016/j.enganabound.2026.106640 (Access: Closed )
https://doi.org/10.48550/arXiv.2511.09348 (Access: Open )
PDF
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