Phase Field Modeling of Ghost Diffusion in Sn-Ag-Cu Solder Joints

Abstract

In this paper, we have introduced a phase field modeling technique to simulate ghost diffusion phenomena of intermetallic compounds in a bulk mettalic matrix phase. We used Zenner-Frank phase field approach to define free energy density functional which is to be evolved using Chan-Hilliard and Alan-Chan equations to simulate time evolution of the precipitates. We verified our simulation results with intermetallic compound growth of Sn-Ag-Cu solder joints in isothermal aging process attributing to the diffusion of Ag3Sn intermetallic compound. Herewith we present that Zenner-Frank model demonstrates sound validity and provides a best understanding of such phenomena.

Modeling Approaches for Fluidic Mass Transport in Next Generation Micro and Nano Biomedical Sensors

“…Secondly, VOF model defines two phases in discrete way using an order parameter. Order parameter is usually a fraction between 0 and 1 (Referred as void fraction) which identifies the volume occupied by each phase in a discrete simulation volume [27]. Therefore, VOF solves two coupled conservation equations simultaneously for species transport and order parameter [28], [29].…”

Understanding Precipitate Growth Kinetics at Ultra-High Hydrostatic Pressures

“…Phase field modeling (PFM) can be considered an important simulation tool for scientists and engineers to identify the evolution of microstructures under unique environments [1]. PFM stems from the classical solid state diffusion definition (Fick's law) by integrating Fick's definition to incorporate interface tracking between multiple phases.…”

“…PFM stems from the classical solid state diffusion definition (Fick's law) by integrating Fick's definition to incorporate interface tracking between multiple phases. Where, PFM defines chemical potential as the driving parameter rather than the composition in classical definition [1], [2]. By incorporating chemical potential, non-classical diffusion phenomena is successfully addressed to describe experimental observations (uphill diffusion, grain growth, etc.)…”

“…By incorporating chemical potential, non-classical diffusion phenomena is successfully addressed to describe experimental observations (uphill diffusion, grain growth, etc.) [1], [3].…”

“…They utilized Zenner-Frank (ZF) phase field kinetics under elastic strain energy contributions to FF. Secondly, precipitate kinetics under thermal energy such as isothermal aging is widely studied by Weerasekera et al [1], [3]. They have also used ZF kinetics to address the phenomena.…”