Multiscale modelling of multilayer substrates

Journal article (2006)

Authors

RLJM Ubachs Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
O van der Sluis Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
W.D. van Driel Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
Kouchi Zhang Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
Research Group
Computational Design and Mechanics (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2006

Language

Undefined/Unknown

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Computational Design and Mechanics

Abstract

A multiscale (global-local) numerical method for the assessment of reliability issues in substrates is presented. The method allows for the calculation of accurate local quantities, without the need for heavy calculations. A global step is performed by first subdividing the substrate into cells. Next, the structure (circuit) of each cell is analysed and quantified and, based on the result, appropriate effective properties are assigned. In this way a homogenised finite element model of the substrate is constructed which is used to determine its global response. A local step is subsequently performed, where only a small 'region of interest' of the substrate is modelled in detail. The loading is accomplished by describing boundary conditions extracted from the global simulation.