Numerical simulation of coarsening in binary solder alloys
Please always quote using this URN:urn:nbn:de:0296-matheon-12581
- Coarsening in solder alloys is a widely accepted indicator for possible failure of joints in electronic devices. Based on the well-established Cahn--Larch\'e model with logarithmic chemical energy density (see, e.g., Dreyer and Mueller 2001), we present a numerical environment for the efficient and reliable simulation of coarsening in binary alloys. Main features are adaptive mesh refinement based on hierarchical error estimates, fast and reliable algebraic solution by multigrid and Schur--Newton multigrid methods, and the quantification of the coarsening speed by the temporal growth of mean phase radii. We provide a detailed description and a numerical assessment of the algorithm and its different components, together with a practical application to a eutectic AgCu brazing alloy.
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| Author: | Carsten Gräser, Ralf Kornhuber, Uli Sack |
|---|---|
| URN: | urn:nbn:de:0296-matheon-12581 |
| Referee: | Peter Deuflhard |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2013/11/01 |
| Release Date: | 2013/11/01 |
| Tag: | Cahn-Larche system; Schur-Newton multigrid; adaptive finite elements; phase separation |
| Institute: | Freie Universität Berlin |
| MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M55 Multigrid methods; domain decomposition |
| 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | |
| Preprint Number: | 1041 |
