학술논문

Analytical Solutions for PCB Assembly Subjected to Mismatched Thermal Expansion
Document Type
Periodical
Source
IEEE Transactions on Advanced Packaging IEEE Trans. Adv. Packag. Advanced Packaging, IEEE Transactions on. 32(3):602-611 Aug, 2009
Subject
Components, Circuits, Devices and Systems
Assembly
Thermal expansion
Electronic packaging thermal management
Thermal stresses
Electronics packaging
Electronics industry
Soldering
Slabs
Springs
Finite element methods
Analytical solutions
electronics packaging
solder joints
thermal stress
Language
ISSN
1521-3323
1557-9980
Abstract
Thermal stress due to mismatched thermal expansion is a problem that has challenged the electronics packaging industry for decades. Analytical solutions are available in the literature for a tri-material in which the sandwiched layer is an adhesive, but the solutions may not be suitable for a sandwiched layer consisting of discrete elements such as solder joints which experience significant bending. In this paper, closed-form analytical solutions have been developed for both continuous and discrete sandwiched layers by modelling the interconnects as a slab of spring elements capable of transferring axial, shear, and bending load. The analytical solutions have been successfully validated with finite element analysis.