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

TL;DR

This paper introduces a coupled finite element-virtual element method tailored for thermomechanical analysis in electronic packaging, combining efficiency and geometric flexibility for complex multi-material systems.

Contribution

It develops a novel coupled FE-VEM approach that improves analysis accuracy and computational efficiency for complex electronic packaging geometries.

Findings

Accurately captures thermal distributions and stress concentrations.

Demonstrates good convergence and agreement with reference solutions.

Reduces meshing complexity and computational overhead.

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