Effect of Reduced Order Models on Computational Efficiency and IP Protection of Thermo-Mechanical Models for Package-Board Design

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Beitragende

Abstract

Finite element simulations constitute a key methodology for evaluating the reliability of electronic devices subjected to thermomechanical loading. In this work, a Krylov subspace-based model order reduction technique is applied to construct superelements (SEs), which are coupled with full-order finite element models (FEMs) within a mixed SE-FEM framework. Two representative electronic packaging assemblies - a flip-chip chip-scale package and a chip resistor - are systematically analyzed to quantify the influence of the number of interface nodes, governed by mesh resolution and element order, on the reduced model size, superelement generation cost, and overall computational efficiency.While speed-ups of up to 8.5 times are achieved for suitably chosen interface resolutions, excessively fine meshes or high-order interface discretizations may negate these efficiency gains and can even lead to increased computational cost. The SE-FEM strategy reproduces the original thermal response exactly and exhibits only weak sensitivity to the interface discretization. In contrast, the mechanical response shows a stronger dependence on interface resolution and mesh compatibility. These results underscore the necessity of carefully balancing interface mesh size and element order to achieve an optimal trade-off between computational efficiency and mechanical response accuracy. Furthermore, by eliminating internal degrees of freedom, the proposed SE framework provides an effective abstraction layer that facilitates model exchange while preserving intellectual property (IP).

Details

OriginalspracheEnglisch
Titel42nd Semiconductor Thermal Measurement, Modeling and Management Symposium, SEMI-THERM 2026 - Proceedings 2026
Herausgeber (Verlag)Institute of Electrical and Electronics Engineers (IEEE)
Seiten84-93
Seitenumfang10
ISBN (elektronisch)978-1-7355325-6-1
ISBN (Print)979-8-3195-2154-5
PublikationsstatusVeröffentlicht - 2026
Peer-Review-StatusJa

Publikationsreihe

ReiheIEEE Symposium on Semiconductor Thermal Measurement and Management (SEMI-THERM)
ISSN1065-2221

Konferenz

Titel42nd Semiconductor Thermal Measurement, Modeling and Management Symposium
KurztitelSEMI-THERM 2026
Veranstaltungsnummer42
Dauer9 - 12 März 2026
Webseite
OrtDouble Tree Hotel
StadtSan Jose
LandUSA/Vereinigte Staaten

Externe IDs

ORCID /0000-0001-9720-0727/work/221401375
ORCID /0000-0001-8576-7611/work/221401986

Schlagworte

ASJC Scopus Sachgebiete

  • Instrumentierung - finite element modelling, IP protection, Krylov subspace model order reduction, superelements, thermo-mechanical simulation
  • Elektrotechnik und Elektronik - finite element modelling, IP protection, Krylov subspace model order reduction, superelements, thermo-mechanical simulation

Schlagwörter

  • finite element modelling, IP protection, Krylov subspace model order reduction, superelements, thermo-mechanical simulation