Virtual element method for thermomechanical analysis of electronic packaging structures with multi-scale features

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Abstract This paper presents two approaches: the virtual element method (VEM) and the stabilization-free virtual element method (SFVEM) for analyzing thermomechanical behavior in electronic packaging structures with geometric multi-scale features. Since the virtual element method allows the use of arbitrary polygonal elements, the inherent mesh flexibility of VEM allows localized mesh modifications without affecting global mesh structure, making it particularly effective for the analysis of electronic packaging reliability involving complex geometries and multiple geometric scales. The approach implements a novel non-matching mesh generation strategy that strategically combines polygonal meshes for complex small-scale regions with regular quadrilateral meshes for larger domains. The VEM formulation addresses both heat conduction and thermomechanical coupling problems, with comprehensive verification through analytical benchmarks and practical electronic packaging case studies, including Through-Silicon Via (TSV), Ball Grid Array (BGA), and Plastic Ball Grid Array (PBGA) structures. Results demonstrate that the method accurately captures stress concentrations at material interfaces and provides reliable thermal and mechanical response predictions. Some MATLAB codes for the numerical examples are provided at https://github.com/yanpeng-gong/VEM-electronic-packaging and on the VEMhub website ( www.vemhub.com ).

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  • Research Article
  • Cite Count Icon 14
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Mechanical properties of Sn–Pb based solder joints and fatigue life prediction of PBGA package structure
  • Jun 3, 2023
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Mechanical properties of Sn–Pb based solder joints and fatigue life prediction of PBGA package structure

  • Conference Article
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Vibration Fatigue Test of Surface Mount Electronic Components
  • Jan 1, 2003
  • T E Wong + 1 more

The objectives of the present studies are to design and test representative commercial off-the-shelf plastic encapsulated microcircuits, including various types of ball grid array (BGA) components, chip scale package, flip chip, lead flat pack, and leadless capacitor, over military random vibration levels. The approach is to demonstrate the solder joint reliability performance of these components through the design of an electrical daisy-chain pattern printed wiring board (PWB) assembly test vehicle (TV), in which the design and manufacturing variables are included. The three variables, including BGA underfilled materials, solder pad sizes on PWB, and BGA rework, with each having either two or three levels of variation are used to address test criteria and to construct 14 different types of TV configurations. All TV configurations are then subjected to random vibration tests while continuously monitoring solder joint integrity. Based on the measured results, a destructive physical analysis is then conducted to further isolate the failure locations and determine the failure mechanisms of the solder joints. Test results indicate that the 352-pin tape BGA and 600-pin super BGA are more susceptible to failure than plastic BGAs under the same conditions, and that the use of underfilled materials appears to improve the life expectancy of all the components. The stiffer packages of tape BGA and super BGA, which have copper heat spreaders, may account for higher BGA solder joint stress/strain during random vibration tests. Test data also shows that only a limited number of electrical opening are observed. This indicates that the test modules are robust enough to survive the random vibration inputs. One possible reason is that the test modules are very stiff, whose 1st mode of natural frequency is about 550 Hz. Therefore, the curvature changes of the test modules are minimal, which resulted in smaller relative motion between the package and the PWB, and less solder joint stresses. All these test results are recommended to be used for calibrating BGA solder joint vibration fatigue life prediction models, which will be presented in other publications.

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